Mathematical Problems in Aircraft Instrumentation and Sensors:
Development and Integration for Monitoring and Control
1. Question: An altimeter has a precision of ±5 feet. If an aircraft is flying at 30,000 feet, what is the
maximum possible error in altitude measurement?
Answer: ±5 feet
2. Question: A temperature sensor on an aircraft has a response time of 0.5 seconds. If the
temperature changes at a rate of 2°C per second, what is the maximum lag in temperature reading?
Answer: 0.5 * 2 = 1°C
3. Question: An airspeed indicator has a scale factor of 2 knots per degree of needle deflection. If the
needle deflects by 45 degrees, what airspeed is indicated?
Answer: 45 * 2 = 90 knots
4. Question: A fuel gauge has an accuracy of ±2% of full scale. If the fuel tank capacity is 5000 liters,
what is the maximum error in fuel measurement?
Answer: 5000 * 0.02 = ±100 liters
5. Question: An aircraft's GPS receiver updates its position every 0.1 seconds. If the aircraft is
traveling at 500 knots, what is the maximum distance traveled between updates?
Answer: 500 knots = 257.2 m/s, so 257.2 * 0.1 = 25.72 meters
6. Question: A pitot tube measures a pressure difference of 2500 Pa. If the air density is 1.225 kg/m³,
what is the airspeed? (Use v = √(2ΔP/ρ))
Answer: v = √(2 * 2500 / 1.225) ≈ 63.9 m/s
7. Question: An attitude indicator has a pitch sensitivity of 0.5 degrees per millimeter of
displacement. If the display shows a 10 mm displacement, what is the pitch angle?
Answer: 10 * 0.5 = 5 degrees
8. Question: A rate-of-climb indicator shows a vertical speed of 1500 feet per minute. How many
meters per second is this?
Answer: 1500 ft/min * (0.3048 m/ft) * (1 min/60 sec) = 7.62 m/s
9. Question: An aircraft's accelerometer has a range of ±10g. If 1g corresponds to 9.81 m/s², what is
the maximum acceleration the sensor can measure in m/s²?
Answer: 10 * 9.81 = 98.1 m/s²
10. Question: A heading indicator has a resolution of 0.1 degrees. How many distinct headings can it
display in a full 360-degree rotation?
Answer: 360 / 0.1 = 3600 distinct headings
11. Question: An engine temperature sensor has a linear response of 10 mV/°C. If the sensor output
is 250 mV at 0°C, what temperature does an output of 450 mV indicate?
Answer: (450 - 250) / 10 = 20°C
12. Question: A radar altimeter transmits a signal that returns after 66 microseconds. If the speed of
radio waves is 3 * 10⁸ m/s, what is the aircraft's altitude?
Answer: (66 * 10⁻⁶ * 3 * 10⁸) / 2 = 9900 meters
13. Question: An airspeed indicator is calibrated for sea level conditions. At an altitude where air
density is 75% of sea level, what is the true airspeed if the indicator shows 200 knots?
Answer: 200 / √0.75 ≈ 230.9 knots
14. Question: A fuel flow sensor measures 250 kg/hour. If the aircraft has 3000 kg of fuel, how many
hours can it fly at this rate?
Answer: 3000 / 250 = 12 hours
15. Question: An angle of attack sensor has a range of -5° to +30°. If it uses a 12-bit ADC for
measurement, what is the theoretical resolution in degrees?
Answer: (30 - (-5)) / 2¹² = 0.0085 degrees
16. Question: A weight-on-wheels sensor activates at 5000 kg. If an aircraft weighs 20,000 kg and has
4 main landing gear struts, at what weight per strut will the sensor activate?
Answer: 5000 / 4 = 1250 kg per strut
17. Question: An aircraft's magnetometer has a sensitivity of 0.1 μT (microtesla). If Earth's magnetic
field strength is typically 50 μT, how many distinct levels can the sensor measure?
Answer: 50 / 0.1 = 500 levels
18. Question: A cabin pressure sensor measures a pressure of 75 kPa. If standard sea level pressure is
101.325 kPa, what is the equivalent cabin altitude in feet? (Use h = 145366.45 * (1 -
(P/P0)^0.190284))
Answer: h = 145366.45 * (1 - (75/101.325)^0.190284) ≈ 8202 feet
19. Question: An aircraft's static port experiences a 2% error in pressure measurement due to
position error. If the true altitude is 10,000 feet, what altitude will the altimeter indicate? (Assume
1% pressure change = 90 feet)
Answer: 10,000 + (2 * 90) = 10,180 feet
20. Question: A vibration sensor on an engine measures a frequency of 50 Hz with an amplitude of
0.5 mm. What is the maximum acceleration experienced? (Use a = (2πf)² * A)
Answer: a = (2π * 50)² * 0.0005 = 49.3 m/s²
21. Question: An aircraft's INS (Inertial Navigation System) drifts at a rate of 1 nautical mile per hour.
After a 5-hour flight, what is the maximum position error?
Answer: 5 * 1 = 5 nautical miles
22. Question: A pitot-static system measures a dynamic pressure of 1500 Pa and a static pressure of
95 kPa. What is the Mach number? (Use M = √(5 * ((1 + q/P)^(2/7) - 1)))
Answer: M = √(5 * ((1 + 1500/95000)^(2/7) - 1)) ≈ 0.157
23. Question: An aircraft's GPS receiver has a position accuracy of ±5 meters. What is the area of
uncertainty for the aircraft's position?
Answer: π * 5² = 78.54 m²
24. Question: A fuel quantity indicator shows fuel mass with a resolution of 10 kg. If the fuel density
is 0.8 kg/L, what is the volume resolution of the indicator?
Answer: 10 / 0.8 = 12.5 L
25. Question: An aircraft's radio altimeter operates at 4.3 GHz. What is the wavelength of this signal?
Answer: λ = c/f = (3 * 10⁸) / (4.3 * 10⁹) ≈ 0.0698 m or 6.98 cm
26. Question: A strain gauge on a wing spar has a gauge factor of 2.1 and a resistance of 120 Ω. If the
measured change in resistance is 0.252 Ω, what is the strain?
Answer: ε = (ΔR/R) / GF = (0.252/120) / 2.1 = 0.001 or 0.1%
27. Question: An aircraft's TCAS (Traffic Collision Avoidance System) can detect aircraft within a 40
nautical mile radius. What is the surveillance volume in cubic kilometers? (1 nmi = 1.852 km)
Answer: (4/3) * π * (40 * 1.852)³ ≈ 386,666 km³
28. Question: A pressure transducer has a sensitivity of 10 mV/kPa. If the full-scale output is 5V, what
is the maximum pressure it can measure?
Answer: 5 / (10 * 10⁻³) = 500 kPa
29. Question: An aircraft's AoA (Angle of Attack) sensor has a range of 0° to 20° and uses an 8-bit
ADC. What is the resolution in degrees?
Answer: 20 / 2⁸ = 0.078125 degrees
30. Question: A temperature sensor in the engine has a time constant of 2 seconds. If the
temperature rises from 200°C to 600°C, how long will it take for the sensor to read 63.2% of this
change?
Answer: 2 seconds (by definition of time constant)
31. Question: An aircraft's weather radar has a beam width of 3°. At a distance of 50 nautical miles,
what is the width of the scanned area?
Answer: 50 * tan(3° * π/180) * 1.852 ≈ 4.85 km
32. Question: A fly-by-wire system has a control loop that runs at 1000 Hz. What is the maximum
time delay between input and output?
Answer: 1 / 1000 = 0.001 seconds or 1 ms
33. Question: An aircraft's static port is located 5 meters ahead of the center of gravity. If the aircraft
pitches up at 5 degrees per second, what is the vertical velocity error introduced?
Answer: 5 * sin(5° * π/180) = 0.436 m/s
34. Question: A capacitive fuel sensor measures a capacitance of 100 pF when empty and 500 pF
when full. If the current reading is 300 pF, what percentage of the tank is filled?
Answer: (300 - 100) / (500 - 100) * 100 = 50%
35. Question: An aircraft's DME (Distance Measuring Equipment) measures a round-trip time of 123
microseconds. What is the distance to the ground station? (Speed of radio waves = 3 * 10⁸ m/s)
Answer: (123 * 10⁻⁶ * 3 * 10⁸) / 2 = 18.45 km
36. Question: A piezoelectric accelerometer has a sensitivity of 100 mV/g. If it outputs 350 mV, what
acceleration is it measuring?
Answer: 350 / 100 = 3.5 g
37. Question: An aircraft's ILS (Instrument Landing System) glideslope has a 3° angle. If an aircraft is
10 nautical miles from the runway threshold, what should its altitude be to be on the glideslope?
Answer: 10 * tan(3° * π/180) * 6076.12 ≈ 3182 feet
38. Question: A cabin pressurization system maintains a pressure differential of 8 psi. If the outside
pressure at cruising altitude is 3 psi, what is the cabin pressure?
Answer: 3 + 8 = 11 psi
39. Question: An aircraft's VOR (VHF Omnidirectional Range) receiver has an accuracy of ±1°. At a
distance of 100 nautical miles from the station, what is the maximum cross-track error?
Answer: 100 * tan(1° * π/180) * 1.852 = 3.23 km
40. Question: A tachometer measures engine RPM with a resolution of 10 RPM. If the engine is
operating at 2400 RPM, what is the maximum percentage error in the reading?
Answer: (10 / 2400) * 100 = 0.417%
41. Question: An aircraft's transponder transmits at 1090 MHz. What is the wavelength of this signal?
Answer: λ = c/f = (3 * 10⁸) / (1090 * 10⁶) ≈ 0.275 m
42. Question: A flux gate compass has a resolution of 0.1°. How many bits are required to represent
all possible headings?
Answer: log₂(360 / 0.1) = 11.82, rounded up to 12 bits
43. Question: An aircraft's AHRS (Attitude and Heading Reference System) updates at 50 Hz. If the
aircraft is rolling at 20°/s, what is the maximum angular error between updates?
Answer: 20 / 50 = 0.4°
44. Question: A pitot tube is heated to prevent icing. If it draws 8 amps at 28 volts, what is its power
consumption?
Answer: P = IV = 8 * 28 = 224 watts
45. Question: An aircraft's radar altimeter has an accuracy of ±3 feet or 2% of altitude, whichever is
greater. At what altitude does the percentage-based accuracy become the dominant factor?
Answer: 3 / 0.02 = 150 feet
46. Question: A rate gyro measures angular velocity with a sensitivity of 50 mV/°/s. If the output
voltage is 1.5V, what is the angular velocity?
Answer: 1.5 / 0.05 = 30°/s
47. Question: An air data computer calculates true airspeed with an accuracy of ±2 knots or ±1%,
whichever is greater. At what airspeed do these two error values coincide?
Answer: 2 / 0.01 = 200 knots
48. Question: A fuel quantity measuring system has a resolution of 5 kg. If an aircraft burns fuel at a
rate of 1000 kg/hour, what is the minimum time between detectable fuel quantity changes?
Answer: 5 / (1000 / 3600) = 18 seconds
49. Question: An aircraft's GPS receiver provides altitude data with a vertical accuracy of ±25 meters
(95% confidence). What is the standard deviation of the altitude measurement?
Answer: 25 / 1.96 ≈ 12.76 meters (assuming normal distribution)
50. Question: A temperature sensor in the cabin has a range of -50°C to +50°C and uses a 10-bit ADC.
What is the temperature resolution?
Answer: (50 - (-50)) / 2¹⁰ = 0.0977°C
51. Question: An aircraft's stick shaker activates at 10° angle of attack. If the current AoA is 8° and
increasing at 0.5°/s, how long until the stick shaker activates?
Answer: (10 - 8) / 0.5 = 4 seconds
52. Question: A laser altimeter measures height above ground with a precision of 1 cm. How many
distinct altitude measurements can it make in a range of 0 to 1000 meters?
Answer: (1000 * 100) + 1 = 100,001 measurements
53. Question: An aircraft's weather radar has a range of 200 nautical miles. If it scans a 120° arc in
front of the aircraft, what area can it survey?
Answer: (π * (200 * 1.852)² * 120) / 360 ≈ 77,153 km²
54. Question: A pressure sensor in the hydraulic system has a full-scale range of 5000 psi and a
resolution of 12 bits. What is the pressure change represented by 1 bit?
Answer: 5000 / 2¹² = 1.22 psi
55. Question: An aircraft's ADF (Automatic Direction Finder) has a bearing accuracy of ±5°. If the
aircraft is 100 nm from the NDB station, what is the maximum cross-track error?
Answer: 100 * tan(5° * π/180) * 1.852 = 16.18 km
56. Question: A fuel flow meter measures flow with an accuracy of ±1% of reading. If the current fuel
flow is 1000 kg/hour, what is the maximum error in kg/minute?
Answer: (1000 * 0.01) / 60 = 0.167 kg/minute
57. Question: An aircraft's TCAS antenna has a vertical beam width of 30°. At a range of 10 nautical
miles, what is the vertical coverage?
Answer: 10 * tan(30° * π/180) * 1.852 = 10.69 km
6. Question: A pitot tube measures a pressure difference of 2500 Pa. If the air density is 1.225 kg/m³,
what is the airspeed? (Use v = √(2ΔP/ρ))
Answer: v = √(2 * 2500 / 1.225) ≈ 63.9 m/s
7. Question: An attitude indicator has a pitch sensitivity of 0.5 degrees per millimeter of
displacement. If the display shows a 10 mm displacement, what is the pitch angle?
Answer: 10 * 0.5 = 5 degrees
8. Question: A rate-of-climb indicator shows a vertical speed of 1500 feet per minute. How many
meters per second is this?
Answer: 1500 ft/min * (0.3048 m/ft) * (1 min/60 sec) = 7.62 m/s
9. Question: An aircraft's accelerometer has a range of ±10g. If 1g corresponds to 9.81 m/s², what is
the maximum acceleration the sensor can measure in m/s²?
Answer: 10 * 9.81 = 98.1 m/s²
10. Question: A heading indicator has a resolution of 0.1 degrees. How many distinct headings can it
display in a full 360-degree rotation?
Answer: 360 / 0.1 = 3600 distinct headings
11. Question: An engine temperature sensor has a linear response of 10 mV/°C. If the sensor output
is 250 mV at 0°C, what temperature does an output of 450 mV indicate?
Answer: (450 - 250) / 10 = 20°C
12. Question: A radar altimeter transmits a signal that returns after 66 microseconds. If the speed of
radio waves is 3 * 10⁸ m/s, what is the aircraft's altitude?
Answer: (66 * 10⁻⁶ * 3 * 10⁸) / 2 = 9900 meters
13. Question: An airspeed indicator is calibrated for sea level conditions. At an altitude where air
density is 75% of sea level, what is the true airspeed if the indicator shows 200 knots?
Answer: 200 / √0.75 ≈ 230.9 knots
14. Question: A fuel flow sensor measures 250 kg/hour. If the aircraft has 3000 kg of fuel, how many
hours can it fly at this rate?
Answer: 3000 / 250 = 12 hours
15. Question: An angle of attack sensor has a range of -5° to +30°. If it uses a 12-bit ADC for
measurement, what is the theoretical resolution in degrees?
Answer: (30 - (-5)) / 2¹² = 0.0085 degrees
16. Question: A weight-on-wheels sensor activates at 5000 kg. If an aircraft weighs 20,000 kg and has
4 main landing gear struts, at what weight per strut will the sensor activate?
Answer: 5000 / 4 = 1250 kg per strut
17. Question: An aircraft's magnetometer has a sensitivity of 0.1 μT (microtesla). If Earth's magnetic
field strength is typically 50 μT, how many distinct levels can the sensor measure?
Answer: 50 / 0.1 = 500 levels
18. Question: A cabin pressure sensor measures a pressure of 75 kPa. If standard sea level pressure is
101.325 kPa, what is the equivalent cabin altitude in feet? (Use h = 145366.45 * (1 -
(P/P0)^0.190284))
Answer: h = 145366.45 * (1 - (75/101.325)^0.190284) ≈ 8202 feet
19. Question: An aircraft's static port experiences a 2% error in pressure measurement due to
position error. If the true altitude is 10,000 feet, what altitude will the altimeter indicate? (Assume
1% pressure change = 90 feet)
Answer: 10,000 + (2 * 90) = 10,180 feet
20. Question: A vibration sensor on an engine measures a frequency of 50 Hz with an amplitude of
0.5 mm. What is the maximum acceleration experienced? (Use a = (2πf)² * A)
Answer: a = (2π * 50)² * 0.0005 = 49.3 m/s²
21. Question: An aircraft's INS (Inertial Navigation System) drifts at a rate of 1 nautical mile per hour.
After a 5-hour flight, what is the maximum position error?
Answer: 5 * 1 = 5 nautical miles
22. Question: A pitot-static system measures a dynamic pressure of 1500 Pa and a static pressure of
95 kPa. What is the Mach number? (Use M = √(5 * ((1 + q/P)^(2/7) - 1)))
Answer: M = √(5 * ((1 + 1500/95000)^(2/7) - 1)) ≈ 0.157
23. Question: An aircraft's GPS receiver has a position accuracy of ±5 meters. What is the area of
uncertainty for the aircraft's position?
Answer: π * 5² = 78.54 m²
24. Question: A fuel quantity indicator shows fuel mass with a resolution of 10 kg. If the fuel density
is 0.8 kg/L, what is the volume resolution of the indicator?
Answer: 10 / 0.8 = 12.5 L
25. Question: An aircraft's radio altimeter operates at 4.3 GHz. What is the wavelength of this signal?
Answer: λ = c/f = (3 * 10⁸) / (4.3 * 10⁹) ≈ 0.0698 m or 6.98 cm
26. Question: A strain gauge on a wing spar has a gauge factor of 2.1 and a resistance of 120 Ω. If the
measured change in resistance is 0.252 Ω, what is the strain?
Answer: ε = (ΔR/R) / GF = (0.252/120) / 2.1 = 0.001 or 0.1%
27. Question: An aircraft's TCAS (Traffic Collision Avoidance System) can detect aircraft within a 40
nautical mile radius. What is the surveillance volume in cubic kilometers? (1 nmi = 1.852 km)
Answer: (4/3) * π * (40 * 1.852)³ ≈ 386,666 km³
28. Question: A pressure transducer has a sensitivity of 10 mV/kPa. If the full-scale output is 5V, what
is the maximum pressure it can measure?
Answer: 5 / (10 * 10⁻³) = 500 kPa
29. Question: An aircraft's AoA (Angle of Attack) sensor has a range of 0° to 20° and uses an 8-bit
ADC. What is the resolution in degrees?
Answer: 20 / 2⁸ = 0.078125 degrees
30. Question: A temperature sensor in the engine has a time constant of 2 seconds. If the
temperature rises from 200°C to 600°C, how long will it take for the sensor to read 63.2% of this
change?
Answer: 2 seconds (by definition of time constant)
31. Question: An aircraft's weather radar has a beam width of 3°. At a distance of 50 nautical miles,
what is the width of the scanned area?
Answer: 50 * tan(3° * π/180) * 1.852 ≈ 4.85 km
32. Question: A fly-by-wire system has a control loop that runs at 1000 Hz. What is the maximum
time delay between input and output?
Answer: 1 / 1000 = 0.001 seconds or 1 ms
33. Question: An aircraft's static port is located 5 meters ahead of the center of gravity. If the aircraft
pitches up at 5 degrees per second, what is the vertical velocity error introduced?
Answer: 5 * sin(5° * π/180) = 0.436 m/s
34. Question: A capacitive fuel sensor measures a capacitance of 100 pF when empty and 500 pF
when full. If the current reading is 300 pF, what percentage of the tank is filled?
Answer: (300 - 100) / (500 - 100) * 100 = 50%
35. Question: An aircraft's DME (Distance Measuring Equipment) measures a round-trip time of 123
microseconds. What is the distance to the ground station? (Speed of radio waves = 3 * 10⁸ m/s)
Answer: (123 * 10⁻⁶ * 3 * 10⁸) / 2 = 18.45 km
36. Question: A piezoelectric accelerometer has a sensitivity of 100 mV/g. If it outputs 350 mV, what
acceleration is it measuring?
Answer: 350 / 100 = 3.5 g
37. Question: An aircraft's ILS (Instrument Landing System) glideslope has a 3° angle. If an aircraft is
10 nautical miles from the runway threshold, what should its altitude be to be on the glideslope?
Answer: 10 * tan(3° * π/180) * 6076.12 ≈ 3182 feet
38. Question: A cabin pressurization system maintains a pressure differential of 8 psi. If the outside
pressure at cruising altitude is 3 psi, what is the cabin pressure?
Answer: 3 + 8 = 11 psi
39. Question: An aircraft's VOR (VHF Omnidirectional Range) receiver has an accuracy of ±1°. At a
distance of 100 nautical miles from the station, what is the maximum cross-track error?
Answer: 100 * tan(1° * π/180) * 1.852 = 3.23 km
40. Question: A tachometer measures engine RPM with a resolution of 10 RPM. If the engine is
operating at 2400 RPM, what is the maximum percentage error in the reading?
Answer: (10 / 2400) * 100 = 0.417%
41. Question: An aircraft's transponder transmits at 1090 MHz. What is the wavelength of this signal?
Answer: λ = c/f = (3 * 10⁸) / (1090 * 10⁶) ≈ 0.275 m
42. Question: A flux gate compass has a resolution of 0.1°. How many bits are required to represent
all possible headings?
Answer: log₂(360 / 0.1) = 11.82, rounded up to 12 bits
43. Question: An aircraft's AHRS (Attitude and Heading Reference System) updates at 50 Hz. If the
aircraft is rolling at 20°/s, what is the maximum angular error between updates?
Answer: 20 / 50 = 0.4°
44. Question: A pitot tube is heated to prevent icing. If it draws 8 amps at 28 volts, what is its power
consumption?
Answer: P = IV = 8 * 28 = 224 watts
45. Question: An aircraft's radar altimeter has an accuracy of ±3 feet or 2% of altitude, whichever is
greater. At what altitude does the percentage-based accuracy become the dominant factor?
Answer: 3 / 0.02 = 150 feet
46. Question: A rate gyro measures angular velocity with a sensitivity of 50 mV/°/s. If the output
voltage is 1.5V, what is the angular velocity?
Answer: 1.5 / 0.05 = 30°/s
47. Question: An air data computer calculates true airspeed with an accuracy of ±2 knots or ±1%,
whichever is greater. At what airspeed do these two error values coincide?
Answer: 2 / 0.01 = 200 knots
48. Question: A fuel quantity measuring system has a resolution of 5 kg. If an aircraft burns fuel at a
rate of 1000 kg/hour, what is the minimum time between detectable fuel quantity changes?
Answer: 5 / (1000 / 3600) = 18 seconds
49. Question: An aircraft's GPS receiver provides altitude data with a vertical accuracy of ±25 meters
(95% confidence). What is the standard deviation of the altitude measurement?
Answer: 25 / 1.96 ≈ 12.76 meters (assuming normal distribution)
50. Question: A temperature sensor in the cabin has a range of -50°C to +50°C and uses a 10-bit ADC.
What is the temperature resolution?
Answer: (50 - (-50)) / 2¹⁰ = 0.0977°C
51. Question: An aircraft's stick shaker activates at 10° angle of attack. If the current AoA is 8° and
increasing at 0.5°/s, how long until the stick shaker activates?
Answer: (10 - 8) / 0.5 = 4 seconds
52. Question: A laser altimeter measures height above ground with a precision of 1 cm. How many
distinct altitude measurements can it make in a range of 0 to 1000 meters?
Answer: (1000 * 100) + 1 = 100,001 measurements
53. Question: An aircraft's weather radar has a range of 200 nautical miles. If it scans a 120° arc in
front of the aircraft, what area can it survey?
Answer: (π * (200 * 1.852)² * 120) / 360 ≈ 77,153 km²
54. Question: A pressure sensor in the hydraulic system has a full-scale range of 5000 psi and a
resolution of 12 bits. What is the pressure change represented by 1 bit?
Answer: 5000 / 2¹² = 1.22 psi
55. Question: An aircraft's ADF (Automatic Direction Finder) has a bearing accuracy of ±5°. If the
aircraft is 100 nm from the NDB station, what is the maximum cross-track error?
Answer: 100 * tan(5° * π/180) * 1.852 = 16.18 km
56. Question: A fuel flow meter measures flow with an accuracy of ±1% of reading. If the current fuel
flow is 1000 kg/hour, what is the maximum error in kg/minute?
Answer: (1000 * 0.01) / 60 = 0.167 kg/minute
57. Question: An aircraft's TCAS antenna has a vertical beam width of 30°. At a range of 10 nautical
miles, what is the vertical coverage?
6. Question: A pitot tube measures a pressure difference of 2500 Pa. If the air density is 1.225 kg/m³,
what is the airspeed? (Use v = √(2ΔP/ρ))
Answer: v = √(2 * 2500 / 1.225) ≈ 63.9 m/s
7. Question: An attitude indicator has a pitch sensitivity of 0.5 degrees per millimeter of
displacement. If the display shows a 10 mm displacement, what is the pitch angle?
Answer: 10 * 0.5 = 5 degrees
8. Question: A rate-of-climb indicator shows a vertical speed of 1500 feet per minute. How many
meters per second is this?
Answer: 1500 ft/min * (0.3048 m/ft) * (1 min/60 sec) = 7.62 m/s
9. Question: An aircraft's accelerometer has a range of ±10g. If 1g corresponds to 9.81 m/s², what is
the maximum acceleration the sensor can measure in m/s²?
Answer: 10 * 9.81 = 98.1 m/s²
10. Question: A heading indicator has a resolution of 0.1 degrees. How many distinct headings can it
display in a full 360-degree rotation?
Answer: 360 / 0.1 = 3600 distinct headings
11. Question: An engine temperature sensor has a linear response of 10 mV/°C. If the sensor output
is 250 mV at 0°C, what temperature does an output of 450 mV indicate?
Answer: (450 - 250) / 10 = 20°C
12. Question: A radar altimeter transmits a signal that returns after 66 microseconds. If the speed of
radio waves is 3 * 10⁸ m/s, what is the aircraft's altitude?
Answer: (66 * 10⁻⁶ * 3 * 10⁸) / 2 = 9900 meters
13. Question: An airspeed indicator is calibrated for sea level conditions. At an altitude where air
density is 75% of sea level, what is the true airspeed if the indicator shows 200 knots?
Answer: 200 / √0.75 ≈ 230.9 knots
14. Question: A fuel flow sensor measures 250 kg/hour. If the aircraft has 3000 kg of fuel, how many
hours can it fly at this rate?
Answer: 3000 / 250 = 12 hours
15. Question: An angle of attack sensor has a range of -5° to +30°. If it uses a 12-bit ADC for
measurement, what is the theoretical resolution in degrees?
Answer: (30 - (-5)) / 2¹² = 0.0085 degrees
16. Question: A weight-on-wheels sensor activates at 5000 kg. If an aircraft weighs 20,000 kg and has
4 main landing gear struts, at what weight per strut will the sensor activate?
Answer: 5000 / 4 = 1250 kg per strut
17. Question: An aircraft's magnetometer has a sensitivity of 0.1 μT (microtesla). If Earth's magnetic
field strength is typically 50 μT, how many distinct levels can the sensor measure?
Answer: 50 / 0.1 = 500 levels
18. Question: A cabin pressure sensor measures a pressure of 75 kPa. If standard sea level pressure is
101.325 kPa, what is the equivalent cabin altitude in feet? (Use h = 145366.45 * (1 -
(P/P0)^0.190284))
Answer: h = 145366.45 * (1 - (75/101.325)^0.190284) ≈ 8202 feet
19. Question: An aircraft's static port experiences a 2% error in pressure measurement due to
position error. If the true altitude is 10,000 feet, what altitude will the altimeter indicate? (Assume
1% pressure change = 90 feet)
Answer: 10,000 + (2 * 90) = 10,180 feet
20. Question: A vibration sensor on an engine measures a frequency of 50 Hz with an amplitude of
0.5 mm. What is the maximum acceleration experienced? (Use a = (2πf)² * A)
Answer: a = (2π * 50)² * 0.0005 = 49.3 m/s²
21. Question: An aircraft's INS (Inertial Navigation System) drifts at a rate of 1 nautical mile per hour.
After a 5-hour flight, what is the maximum position error?
Answer: 5 * 1 = 5 nautical miles
22. Question: A pitot-static system measures a dynamic pressure of 1500 Pa and a static pressure of
95 kPa. What is the Mach number? (Use M = √(5 * ((1 + q/P)^(2/7) - 1)))
Answer: M = √(5 * ((1 + 1500/95000)^(2/7) - 1)) ≈ 0.157
23. Question: An aircraft's GPS receiver has a position accuracy of ±5 meters. What is the area of
uncertainty for the aircraft's position?
Answer: π * 5² = 78.54 m²
24. Question: A fuel quantity indicator shows fuel mass with a resolution of 10 kg. If the fuel density
is 0.8 kg/L, what is the volume resolution of the indicator?
Answer: 10 / 0.8 = 12.5 L
25. Question: An aircraft's radio altimeter operates at 4.3 GHz. What is the wavelength of this signal?
Answer: λ = c/f = (3 * 10⁸) / (4.3 * 10⁹) ≈ 0.0698 m or 6.98 cm
26. Question: A strain gauge on a wing spar has a gauge factor of 2.1 and a resistance of 120 Ω. If the
measured change in resistance is 0.252 Ω, what is the strain?
Answer: ε = (ΔR/R) / GF = (0.252/120) / 2.1 = 0.001 or 0.1%
27. Question: An aircraft's TCAS (Traffic Collision Avoidance System) can detect aircraft within a 40
nautical mile radius. What is the surveillance volume in cubic kilometers? (1 nmi = 1.852 km)
Answer: (4/3) * π * (40 * 1.852)³ ≈ 386,666 km³
28. Question: A pressure transducer has a sensitivity of 10 mV/kPa. If the full-scale output is 5V, what
is the maximum pressure it can measure?
Answer: 5 / (10 * 10⁻³) = 500 kPa
29. Question: An aircraft's AoA (Angle of Attack) sensor has a range of 0° to 20° and uses an 8-bit
ADC. What is the resolution in degrees?
Answer: 20 / 2⁸ = 0.078125 degrees
30. Question: A temperature sensor in the engine has a time constant of 2 seconds. If the
temperature rises from 200°C to 600°C, how long will it take for the sensor to read 63.2% of this
change?
Answer: 2 seconds (by definition of time constant)
31. Question: An aircraft's weather radar has a beam width of 3°. At a distance of 50 nautical miles,
what is the width of the scanned area?
Answer: 50 * tan(3° * π/180) * 1.852 ≈ 4.85 km
32. Question: A fly-by-wire system has a control loop that runs at 1000 Hz. What is the maximum
time delay between input and output?
Answer: 1 / 1000 = 0.001 seconds or 1 ms
33. Question: An aircraft's static port is located 5 meters ahead of the center of gravity. If the aircraft
pitches up at 5 degrees per second, what is the vertical velocity error introduced?
Answer: 5 * sin(5° * π/180) = 0.436 m/s
34. Question: A capacitive fuel sensor measures a capacitance of 100 pF when empty and 500 pF
when full. If the current reading is 300 pF, what percentage of the tank is filled?
Answer: (300 - 100) / (500 - 100) * 100 = 50%
35. Question: An aircraft's DME (Distance Measuring Equipment) measures a round-trip time of 123
microseconds. What is the distance to the ground station? (Speed of radio waves = 3 * 10⁸ m/s)
Answer: (123 * 10⁻⁶ * 3 * 10⁸) / 2 = 18.45 km
36. Question: A piezoelectric accelerometer has a sensitivity of 100 mV/g. If it outputs 350 mV, what
acceleration is it measuring?
Answer: 350 / 100 = 3.5 g
37. Question: An aircraft's ILS (Instrument Landing System) glideslope has a 3° angle. If an aircraft is
10 nautical miles from the runway threshold, what should its altitude be to be on the glideslope?
Answer: 10 * tan(3° * π/180) * 6076.12 ≈ 3182 feet
38. Question: A cabin pressurization system maintains a pressure differential of 8 psi. If the outside
pressure at cruising altitude is 3 psi, what is the cabin pressure?
Answer: 3 + 8 = 11 psi
39. Question: An aircraft's VOR (VHF Omnidirectional Range) receiver has an accuracy of ±1°. At a
distance of 100 nautical miles from the station, what is the maximum cross-track error?
Answer: 100 * tan(1° * π/180) * 1.852 = 3.23 km
40. Question: A tachometer measures engine RPM with a resolution of 10 RPM. If the engine is
operating at 2400 RPM, what is the maximum percentage error in the reading?
Answer: (10 / 2400) * 100 = 0.417%
41. Question: An aircraft's transponder transmits at 1090 MHz. What is the wavelength of this signal?
Answer: λ = c/f = (3 * 10⁸) / (1090 * 10⁶) ≈ 0.275 m
42. Question: A flux gate compass has a resolution of 0.1°. How many bits are required to represent
all possible headings?
Answer: log₂(360 / 0.1) = 11.82, rounded up to 12 bits
43. Question: An aircraft's AHRS (Attitude and Heading Reference System) updates at 50 Hz. If the
aircraft is rolling at 20°/s, what is the maximum angular error between updates?
Answer: 20 / 50 = 0.4°
44. Question: A pitot tube is heated to prevent icing. If it draws 8 amps at 28 volts, what is its power
consumption?
Answer: P = IV = 8 * 28 = 224 watts
45. Question: An aircraft's radar altimeter has an accuracy of ±3 feet or 2% of altitude, whichever is
greater. At what altitude does the percentage-based accuracy become the dominant factor?
Answer: 3 / 0.02 = 150 feet
46. Question: A rate gyro measures angular velocity with a sensitivity of 50 mV/°/s. If the output
voltage is 1.5V, what is the angular velocity?
Answer: 1.5 / 0.05 = 30°/s
47. Question: An air data computer calculates true airspeed with an accuracy of ±2 knots or ±1%,
whichever is greater. At what airspeed do these two error values coincide?
Answer: 2 / 0.01 = 200 knots
48. Question: A fuel quantity measuring system has a resolution of 5 kg. If an aircraft burns fuel at a
rate of 1000 kg/hour, what is the minimum time between detectable fuel quantity changes?
Answer: 5 / (1000 / 3600) = 18 seconds
49. Question: An aircraft's GPS receiver provides altitude data with a vertical accuracy of ±25 meters
(95% confidence). What is the standard deviation of the altitude measurement?
Answer: 25 / 1.96 ≈ 12.76 meters (assuming normal distribution)
50. Question: A temperature sensor in the cabin has a range of -50°C to +50°C and uses a 10-bit ADC.
What is the temperature resolution?
Answer: (50 - (-50)) / 2¹⁰ = 0.0977°C
51. Question: An aircraft's stick shaker activates at 10° angle of attack. If the current AoA is 8° and
increasing at 0.5°/s, how long until the stick shaker activates?
Answer: (10 - 8) / 0.5 = 4 seconds
52. Question: A laser altimeter measures height above ground with a precision of 1 cm. How many
distinct altitude measurements can it make in a range of 0 to 1000 meters?
Answer: (1000 * 100) + 1 = 100,001 measurements
53. Question: An aircraft's weather radar has a range of 200 nautical miles. If it scans a 120° arc in
front of the aircraft, what area can it survey?
Answer: (π * (200 * 1.852)² * 120) / 360 ≈ 77,153 km²
54. Question: A pressure sensor in the hydraulic system has a full-scale range of 5000 psi and a
resolution of 12 bits. What is the pressure change represented by 1 bit?
Answer: 5000 / 2¹² = 1.22 psi
55. Question: An aircraft's ADF (Automatic Direction Finder) has a bearing accuracy of ±5°. If the
aircraft is 100 nm from the NDB station, what is the maximum cross-track error?
Answer: 100 * tan(5° * π/180) * 1.852 = 16.18 km
56. Question: A fuel flow meter measures flow with an accuracy of ±1% of reading. If the current fuel
flow is 1000 kg/hour, what is the maximum error in kg/minute?
Answer: (1000 * 0.01) / 60 = 0.167 kg/minute
57. Question: An aircraft's TCAS antenna has a vertical beam width of 30°. At a range of 10 nautical
miles, what is the vertical coverage?
6. Question: A pitot tube measures a pressure difference of 2500 Pa. If the air density is 1.225 kg/m³,
what is the airspeed? (Use v = √(2ΔP/ρ))
Answer: v = √(2 * 2500 / 1.225) ≈ 63.9 m/s
7. Question: An attitude indicator has a pitch sensitivity of 0.5 degrees per millimeter of
displacement. If the display shows a 10 mm displacement, what is the pitch angle?
Answer: 10 * 0.5 = 5 degrees
8. Question: A rate-of-climb indicator shows a vertical speed of 1500 feet per minute. How many
meters per second is this?
Answer: 1500 ft/min * (0.3048 m/ft) * (1 min/60 sec) = 7.62 m/s
9. Question: An aircraft's accelerometer has a range of ±10g. If 1g corresponds to 9.81 m/s², what is
the maximum acceleration the sensor can measure in m/s²?
Answer: 10 * 9.81 = 98.1 m/s²
10. Question: A heading indicator has a resolution of 0.1 degrees. How many distinct headings can it
display in a full 360-degree rotation?
Answer: 360 / 0.1 = 3600 distinct headings
11. Question: An engine temperature sensor has a linear response of 10 mV/°C. If the sensor output
is 250 mV at 0°C, what temperature does an output of 450 mV indicate?
Answer: (450 - 250) / 10 = 20°C
12. Question: A radar altimeter transmits a signal that returns after 66 microseconds. If the speed of
radio waves is 3 * 10⁸ m/s, what is the aircraft's altitude?
Answer: (66 * 10⁻⁶ * 3 * 10⁸) / 2 = 9900 meters
13. Question: An airspeed indicator is calibrated for sea level conditions. At an altitude where air
density is 75% of sea level, what is the true airspeed if the indicator shows 200 knots?
Answer: 200 / √0.75 ≈ 230.9 knots
14. Question: A fuel flow sensor measures 250 kg/hour. If the aircraft has 3000 kg of fuel, how many
hours can it fly at this rate?
Answer: 3000 / 250 = 12 hours
15. Question: An angle of attack sensor has a range of -5° to +30°. If it uses a 12-bit ADC for
measurement, what is the theoretical resolution in degrees?
Answer: (30 - (-5)) / 2¹² = 0.0085 degrees
16. Question: A weight-on-wheels sensor activates at 5000 kg. If an aircraft weighs 20,000 kg and has
4 main landing gear struts, at what weight per strut will the sensor activate?
Answer: 5000 / 4 = 1250 kg per strut
17. Question: An aircraft's magnetometer has a sensitivity of 0.1 μT (microtesla). If Earth's magnetic
field strength is typically 50 μT, how many distinct levels can the sensor measure?
Answer: 50 / 0.1 = 500 levels
18. Question: A cabin pressure sensor measures a pressure of 75 kPa. If standard sea level pressure is
101.325 kPa, what is the equivalent cabin altitude in feet? (Use h = 145366.45 * (1 -
(P/P0)^0.190284))
Answer: h = 145366.45 * (1 - (75/101.325)^0.190284) ≈ 8202 feet
19. Question: An aircraft's static port experiences a 2% error in pressure measurement due to
position error. If the true altitude is 10,000 feet, what altitude will the altimeter indicate? (Assume
1% pressure change = 90 feet)
Answer: 10,000 + (2 * 90) = 10,180 feet
20. Question: A vibration sensor on an engine measures a frequency of 50 Hz with an amplitude of
0.5 mm. What is the maximum acceleration experienced? (Use a = (2πf)² * A)
Answer: a = (2π * 50)² * 0.0005 = 49.3 m/s²
21. Question: An aircraft's INS (Inertial Navigation System) drifts at a rate of 1 nautical mile per hour.
After a 5-hour flight, what is the maximum position error?
Answer: 5 * 1 = 5 nautical miles
22. Question: A pitot-static system measures a dynamic pressure of 1500 Pa and a static pressure of
95 kPa. What is the Mach number? (Use M = √(5 * ((1 + q/P)^(2/7) - 1)))
Answer: M = √(5 * ((1 + 1500/95000)^(2/7) - 1)) ≈ 0.157
23. Question: An aircraft's GPS receiver has a position accuracy of ±5 meters. What is the area of
uncertainty for the aircraft's position?
Answer: π * 5² = 78.54 m²
24. Question: A fuel quantity indicator shows fuel mass with a resolution of 10 kg. If the fuel density
is 0.8 kg/L, what is the volume resolution of the indicator?
Answer: 10 / 0.8 = 12.5 L
25. Question: An aircraft's radio altimeter operates at 4.3 GHz. What is the wavelength of this signal?
Answer: λ = c/f = (3 * 10⁸) / (4.3 * 10⁹) ≈ 0.0698 m or 6.98 cm
26. Question: A strain gauge on a wing spar has a gauge factor of 2.1 and a resistance of 120 Ω. If the
measured change in resistance is 0.252 Ω, what is the strain?
Answer: ε = (ΔR/R) / GF = (0.252/120) / 2.1 = 0.001 or 0.1%
27. Question: An aircraft's TCAS (Traffic Collision Avoidance System) can detect aircraft within a 40
nautical mile radius. What is the surveillance volume in cubic kilometers? (1 nmi = 1.852 km)
Answer: (4/3) * π * (40 * 1.852)³ ≈ 386,666 km³
28. Question: A pressure transducer has a sensitivity of 10 mV/kPa. If the full-scale output is 5V, what
is the maximum pressure it can measure?
Answer: 5 / (10 * 10⁻³) = 500 kPa
29. Question: An aircraft's AoA (Angle of Attack) sensor has a range of 0° to 20° and uses an 8-bit
ADC. What is the resolution in degrees?
Answer: 20 / 2⁸ = 0.078125 degrees
30. Question: A temperature sensor in the engine has a time constant of 2 seconds. If the
temperature rises from 200°C to 600°C, how long will it take for the sensor to read 63.2% of this
change?
Answer: 2 seconds (by definition of time constant)
31. Question: An aircraft's weather radar has a beam width of 3°. At a distance of 50 nautical miles,
what is the width of the scanned area?
Answer: 50 * tan(3° * π/180) * 1.852 ≈ 4.85 km
32. Question: A fly-by-wire system has a control loop that runs at 1000 Hz. What is the maximum
time delay between input and output?
Answer: 1 / 1000 = 0.001 seconds or 1 ms
33. Question: An aircraft's static port is located 5 meters ahead of the center of gravity. If the aircraft
pitches up at 5 degrees per second, what is the vertical velocity error introduced?
Answer: 5 * sin(5° * π/180) = 0.436 m/s
34. Question: A capacitive fuel sensor measures a capacitance of 100 pF when empty and 500 pF
when full. If the current reading is 300 pF, what percentage of the tank is filled?
Answer: (300 - 100) / (500 - 100) * 100 = 50%
35. Question: An aircraft's DME (Distance Measuring Equipment) measures a round-trip time of 123
microseconds. What is the distance to the ground station? (Speed of radio waves = 3 * 10⁸ m/s)
Answer: (123 * 10⁻⁶ * 3 * 10⁸) / 2 = 18.45 km
36. Question: A piezoelectric accelerometer has a sensitivity of 100 mV/g. If it outputs 350 mV, what
acceleration is it measuring?
Answer: 350 / 100 = 3.5 g
37. Question: An aircraft's ILS (Instrument Landing System) glideslope has a 3° angle. If an aircraft is
10 nautical miles from the runway threshold, what should its altitude be to be on the glideslope?
Answer: 10 * tan(3° * π/180) * 6076.12 ≈ 3182 feet
38. Question: A cabin pressurization system maintains a pressure differential of 8 psi. If the outside
pressure at cruising altitude is 3 psi, what is the cabin pressure?
Answer: 3 + 8 = 11 psi
39. Question: An aircraft's VOR (VHF Omnidirectional Range) receiver has an accuracy of ±1°. At a
distance of 100 nautical miles from the station, what is the maximum cross-track error?
Answer: 100 * tan(1° * π/180) * 1.852 = 3.23 km
40. Question: A tachometer measures engine RPM with a resolution of 10 RPM. If the engine is
operating at 2400 RPM, what is the maximum percentage error in the reading?
Answer: (10 / 2400) * 100 = 0.417%
41. Question: An aircraft's transponder transmits at 1090 MHz. What is the wavelength of this signal?
Answer: λ = c/f = (3 * 10⁸) / (1090 * 10⁶) ≈ 0.275 m
42. Question: A flux gate compass has a resolution of 0.1°. How many bits are required to represent
all possible headings?
Answer: log₂(360 / 0.1) = 11.82, rounded up to 12 bits
43. Question: An aircraft's AHRS (Attitude and Heading Reference System) updates at 50 Hz. If the
aircraft is rolling at 20°/s, what is the maximum angular error between updates?
Answer: 20 / 50 = 0.4°
44. Question: A pitot tube is heated to prevent icing. If it draws 8 amps at 28 volts, what is its power
consumption?
Answer: P = IV = 8 * 28 = 224 watts
45. Question: An aircraft's radar altimeter has an accuracy of ±3 feet or 2% of altitude, whichever is
greater. At what altitude does the percentage-based accuracy become the dominant factor?
Answer: 3 / 0.02 = 150 feet
46. Question: A rate gyro measures angular velocity with a sensitivity of 50 mV/°/s. If the output
voltage is 1.5V, what is the angular velocity?
Answer: 1.5 / 0.05 = 30°/s
47. Question: An air data computer calculates true airspeed with an accuracy of ±2 knots or ±1%,
whichever is greater. At what airspeed do these two error values coincide?
Answer: 2 / 0.01 = 200 knots
48. Question: A fuel quantity measuring system has a resolution of 5 kg. If an aircraft burns fuel at a
rate of 1000 kg/hour, what is the minimum time between detectable fuel quantity changes?
Answer: 5 / (1000 / 3600) = 18 seconds
49. Question: An aircraft's GPS receiver provides altitude data with a vertical accuracy of ±25 meters
(95% confidence). What is the standard deviation of the altitude measurement?
Answer: 25 / 1.96 ≈ 12.76 meters (assuming normal distribution)
50. Question: A temperature sensor in the cabin has a range of -50°C to +50°C and uses a 10-bit ADC.
What is the temperature resolution?
Answer: (50 - (-50)) / 2¹⁰ = 0.0977°C
51. Question: An aircraft's stick shaker activates at 10° angle of attack. If the current AoA is 8° and
increasing at 0.5°/s, how long until the stick shaker activates?
Answer: (10 - 8) / 0.5 = 4 seconds
52. Question: A laser altimeter measures height above ground with a precision of 1 cm. How many
distinct altitude measurements can it make in a range of 0 to 1000 meters?
Answer: (1000 * 100) + 1 = 100,001 measurements
53. Question: An aircraft's weather radar has a range of 200 nautical miles. If it scans a 120° arc in
front of the aircraft, what area can it survey?
Answer: (π * (200 * 1.852)² * 120) / 360 ≈ 77,153 km²
54. Question: A pressure sensor in the hydraulic system has a full-scale range of 5000 psi and a
resolution of 12 bits. What is the pressure change represented by 1 bit?
Answer: 5000 / 2¹² = 1.22 psi
55. Question: An aircraft's ADF (Automatic Direction Finder) has a bearing accuracy of ±5°. If the
aircraft is 100 nm from the NDB station, what is the maximum cross-track error?
Answer: 100 * tan(5° * π/180) * 1.852 = 16.18 km
56. Question: A fuel flow meter measures flow with an accuracy of ±1% of reading. If the current fuel
flow is 1000 kg/hour, what is the maximum error in kg/minute?
Answer: (1000 * 0.01) / 60 = 0.167 kg/minute
57. Question: An aircraft's TCAS antenna has a vertical beam width of 30°. At a range of 10 nautical
miles, what is the vertical coverage?
6. Question: A pitot tube measures a pressure difference of 2500 Pa. If the air density is 1.225 kg/m³,
what is the airspeed? (Use v = √(2ΔP/ρ))
Answer: v = √(2 * 2500 / 1.225) ≈ 63.9 m/s
7. Question: An attitude indicator has a pitch sensitivity of 0.5 degrees per millimeter of
displacement. If the display shows a 10 mm displacement, what is the pitch angle?
Answer: 10 * 0.5 = 5 degrees
8. Question: A rate-of-climb indicator shows a vertical speed of 1500 feet per minute. How many
meters per second is this?
Answer: 1500 ft/min * (0.3048 m/ft) * (1 min/60 sec) = 7.62 m/s
9. Question: An aircraft's accelerometer has a range of ±10g. If 1g corresponds to 9.81 m/s², what is
the maximum acceleration the sensor can measure in m/s²?
Answer: 10 * 9.81 = 98.1 m/s²
10. Question: A heading indicator has a resolution of 0.1 degrees. How many distinct headings can it
display in a full 360-degree rotation?
Answer: 360 / 0.1 = 3600 distinct headings
11. Question: An engine temperature sensor has a linear response of 10 mV/°C. If the sensor output
is 250 mV at 0°C, what temperature does an output of 450 mV indicate?
Answer: (450 - 250) / 10 = 20°C
12. Question: A radar altimeter transmits a signal that returns after 66 microseconds. If the speed of
radio waves is 3 * 10⁸ m/s, what is the aircraft's altitude?
Answer: (66 * 10⁻⁶ * 3 * 10⁸) / 2 = 9900 meters
13. Question: An airspeed indicator is calibrated for sea level conditions. At an altitude where air
density is 75% of sea level, what is the true airspeed if the indicator shows 200 knots?
Answer: 200 / √0.75 ≈ 230.9 knots
14. Question: A fuel flow sensor measures 250 kg/hour. If the aircraft has 3000 kg of fuel, how many
hours can it fly at this rate?
Answer: 3000 / 250 = 12 hours
15. Question: An angle of attack sensor has a range of -5° to +30°. If it uses a 12-bit ADC for
measurement, what is the theoretical resolution in degrees?
Answer: (30 - (-5)) / 2¹² = 0.0085 degrees
16. Question: A weight-on-wheels sensor activates at 5000 kg. If an aircraft weighs 20,000 kg and has
4 main landing gear struts, at what weight per strut will the sensor activate?
Answer: 5000 / 4 = 1250 kg per strut
17. Question: An aircraft's magnetometer has a sensitivity of 0.1 μT (microtesla). If Earth's magnetic
field strength is typically 50 μT, how many distinct levels can the sensor measure?
Answer: 50 / 0.1 = 500 levels
18. Question: A cabin pressure sensor measures a pressure of 75 kPa. If standard sea level pressure is
101.325 kPa, what is the equivalent cabin altitude in feet? (Use h = 145366.45 * (1 -
(P/P0)^0.190284))
Answer: h = 145366.45 * (1 - (75/101.325)^0.190284) ≈ 8202 feet
19. Question: An aircraft's static port experiences a 2% error in pressure measurement due to
position error. If the true altitude is 10,000 feet, what altitude will the altimeter indicate? (Assume
1% pressure change = 90 feet)
Answer: 10,000 + (2 * 90) = 10,180 feet
20. Question: A vibration sensor on an engine measures a frequency of 50 Hz with an amplitude of
0.5 mm. What is the maximum acceleration experienced? (Use a = (2πf)² * A)
Answer: a = (2π * 50)² * 0.0005 = 49.3 m/s²
21. Question: An aircraft's INS (Inertial Navigation System) drifts at a rate of 1 nautical mile per hour.
After a 5-hour flight, what is the maximum position error?
Answer: 5 * 1 = 5 nautical miles
22. Question: A pitot-static system measures a dynamic pressure of 1500 Pa and a static pressure of
95 kPa. What is the Mach number? (Use M = √(5 * ((1 + q/P)^(2/7) - 1)))
Answer: M = √(5 * ((1 + 1500/95000)^(2/7) - 1)) ≈ 0.157
23. Question: An aircraft's GPS receiver has a position accuracy of ±5 meters. What is the area of
uncertainty for the aircraft's position?
Answer: π * 5² = 78.54 m²
24. Question: A fuel quantity indicator shows fuel mass with a resolution of 10 kg. If the fuel density
is 0.8 kg/L, what is the volume resolution of the indicator?
Answer: 10 / 0.8 = 12.5 L
25. Question: An aircraft's radio altimeter operates at 4.3 GHz. What is the wavelength of this signal?
Answer: λ = c/f = (3 * 10⁸) / (4.3 * 10⁹) ≈ 0.0698 m or 6.98 cm
26. Question: A strain gauge on a wing spar has a gauge factor of 2.1 and a resistance of 120 Ω. If the
measured change in resistance is 0.252 Ω, what is the strain?
Answer: ε = (ΔR/R) / GF = (0.252/120) / 2.1 = 0.001 or 0.1%
27. Question: An aircraft's TCAS (Traffic Collision Avoidance System) can detect aircraft within a 40
nautical mile radius. What is the surveillance volume in cubic kilometers? (1 nmi = 1.852 km)
Answer: (4/3) * π * (40 * 1.852)³ ≈ 386,666 km³
28. Question: A pressure transducer has a sensitivity of 10 mV/kPa. If the full-scale output is 5V, what
is the maximum pressure it can measure?
Answer: 5 / (10 * 10⁻³) = 500 kPa
29. Question: An aircraft's AoA (Angle of Attack) sensor has a range of 0° to 20° and uses an 8-bit
ADC. What is the resolution in degrees?
Answer: 20 / 2⁸ = 0.078125 degrees
30. Question: A temperature sensor in the engine has a time constant of 2 seconds. If the
temperature rises from 200°C to 600°C, how long will it take for the sensor to read 63.2% of this
change?
Answer: 2 seconds (by definition of time constant)
31. Question: An aircraft's weather radar has a beam width of 3°. At a distance of 50 nautical miles,
what is the width of the scanned area?
Answer: 50 * tan(3° * π/180) * 1.852 ≈ 4.85 km
32. Question: A fly-by-wire system has a control loop that runs at 1000 Hz. What is the maximum
time delay between input and output?
Answer: 1 / 1000 = 0.001 seconds or 1 ms
33. Question: An aircraft's static port is located 5 meters ahead of the center of gravity. If the aircraft
pitches up at 5 degrees per second, what is the vertical velocity error introduced?
Answer: 5 * sin(5° * π/180) = 0.436 m/s
34. Question: A capacitive fuel sensor measures a capacitance of 100 pF when empty and 500 pF
when full. If the current reading is 300 pF, what percentage of the tank is filled?
Answer: (300 - 100) / (500 - 100) * 100 = 50%
35. Question: An aircraft's DME (Distance Measuring Equipment) measures a round-trip time of 123
microseconds. What is the distance to the ground station? (Speed of radio waves = 3 * 10⁸ m/s)
Answer: (123 * 10⁻⁶ * 3 * 10⁸) / 2 = 18.45 km
36. Question: A piezoelectric accelerometer has a sensitivity of 100 mV/g. If it outputs 350 mV, what
acceleration is it measuring?
Answer: 350 / 100 = 3.5 g
37. Question: An aircraft's ILS (Instrument Landing System) glideslope has a 3° angle. If an aircraft is
10 nautical miles from the runway threshold, what should its altitude be to be on the glideslope?
Answer: 10 * tan(3° * π/180) * 6076.12 ≈ 3182 feet
38. Question: A cabin pressurization system maintains a pressure differential of 8 psi. If the outside
pressure at cruising altitude is 3 psi, what is the cabin pressure?
Answer: 3 + 8 = 11 psi
39. Question: An aircraft's VOR (VHF Omnidirectional Range) receiver has an accuracy of ±1°. At a
distance of 100 nautical miles from the station, what is the maximum cross-track error?
Answer: 100 * tan(1° * π/180) * 1.852 = 3.23 km
40. Question: A tachometer measures engine RPM with a resolution of 10 RPM. If the engine is
operating at 2400 RPM, what is the maximum percentage error in the reading?
Answer: (10 / 2400) * 100 = 0.417%
41. Question: An aircraft's transponder transmits at 1090 MHz. What is the wavelength of this signal?
Answer: λ = c/f = (3 * 10⁸) / (1090 * 10⁶) ≈ 0.275 m
42. Question: A flux gate compass has a resolution of 0.1°. How many bits are required to represent
all possible headings?
Answer: log₂(360 / 0.1) = 11.82, rounded up to 12 bits
43. Question: An aircraft's AHRS (Attitude and Heading Reference System) updates at 50 Hz. If the
aircraft is rolling at 20°/s, what is the maximum angular error between updates?
Answer: 20 / 50 = 0.4°
44. Question: A pitot tube is heated to prevent icing. If it draws 8 amps at 28 volts, what is its power
consumption?
Answer: P = IV = 8 * 28 = 224 watts
45. Question: An aircraft's radar altimeter has an accuracy of ±3 feet or 2% of altitude, whichever is
greater. At what altitude does the percentage-based accuracy become the dominant factor?
Answer: 3 / 0.02 = 150 feet
46. Question: A rate gyro measures angular velocity with a sensitivity of 50 mV/°/s. If the output
voltage is 1.5V, what is the angular velocity?
Answer: 1.5 / 0.05 = 30°/s
47. Question: An air data computer calculates true airspeed with an accuracy of ±2 knots or ±1%,
whichever is greater. At what airspeed do these two error values coincide?
Answer: 2 / 0.01 = 200 knots
48. Question: A fuel quantity measuring system has a resolution of 5 kg. If an aircraft burns fuel at a
rate of 1000 kg/hour, what is the minimum time between detectable fuel quantity changes?
Answer: 5 / (1000 / 3600) = 18 seconds
49. Question: An aircraft's GPS receiver provides altitude data with a vertical accuracy of ±25 meters
(95% confidence). What is the standard deviation of the altitude measurement?
Answer: 25 / 1.96 ≈ 12.76 meters (assuming normal distribution)
50. Question: A temperature sensor in the cabin has a range of -50°C to +50°C and uses a 10-bit ADC.
What is the temperature resolution?
Answer: (50 - (-50)) / 2¹⁰ = 0.0977°C
51. Question: An aircraft's stick shaker activates at 10° angle of attack. If the current AoA is 8° and
increasing at 0.5°/s, how long until the stick shaker activates?
Answer: (10 - 8) / 0.5 = 4 seconds
52. Question: A laser altimeter measures height above ground with a precision of 1 cm. How many
distinct altitude measurements can it make in a range of 0 to 1000 meters?
Answer: (1000 * 100) + 1 = 100,001 measurements
53. Question: An aircraft's weather radar has a range of 200 nautical miles. If it scans a 120° arc in
front of the aircraft, what area can it survey?
Answer: (π * (200 * 1.852)² * 120) / 360 ≈ 77,153 km²
54. Question: A pressure sensor in the hydraulic system has a full-scale range of 5000 psi and a
resolution of 12 bits. What is the pressure change represented by 1 bit?
Answer: 5000 / 2¹² = 1.22 psi
55. Question: An aircraft's ADF (Automatic Direction Finder) has a bearing accuracy of ±5°. If the
aircraft is 100 nm from the NDB station, what is the maximum cross-track error?
Answer: 100 * tan(5° * π/180) * 1.852 = 16.18 km
56. Question: A fuel flow meter measures flow with an accuracy of ±1% of reading. If the current fuel
flow is 1000 kg/hour, what is the maximum error in kg/minute?
Answer: (1000 * 0.01) / 60 = 0.167 kg/minute
57. Question: An aircraft's TCAS antenna has a vertical beam width of 30°. At a range of 10 nautical
miles, what is the vertical coverage?
6. Question: A pitot tube measures a pressure difference of 2500 Pa. If the air density is 1.225 kg/m³,
what is the airspeed? (Use v = √(2ΔP/ρ))
Answer: v = √(2 * 2500 / 1.225) ≈ 63.9 m/s
7. Question: An attitude indicator has a pitch sensitivity of 0.5 degrees per millimeter of
displacement. If the display shows a 10 mm displacement, what is the pitch angle?
Answer: 10 * 0.5 = 5 degrees
8. Question: A rate-of-climb indicator shows a vertical speed of 1500 feet per minute. How many
meters per second is this?
Answer: 1500 ft/min * (0.3048 m/ft) * (1 min/60 sec) = 7.62 m/s
9. Question: An aircraft's accelerometer has a range of ±10g. If 1g corresponds to 9.81 m/s², what is
the maximum acceleration the sensor can measure in m/s²?
Answer: 10 * 9.81 = 98.1 m/s²
10. Question: A heading indicator has a resolution of 0.1 degrees. How many distinct headings can it
display in a full 360-degree rotation?
Answer: 360 / 0.1 = 3600 distinct headings
11. Question: An engine temperature sensor has a linear response of 10 mV/°C. If the sensor output
is 250 mV at 0°C, what temperature does an output of 450 mV indicate?
Answer: (450 - 250) / 10 = 20°C
12. Question: A radar altimeter transmits a signal that returns after 66 microseconds. If the speed of
radio waves is 3 * 10⁸ m/s, what is the aircraft's altitude?
Answer: (66 * 10⁻⁶ * 3 * 10⁸) / 2 = 9900 meters
13. Question: An airspeed indicator is calibrated for sea level conditions. At an altitude where air
density is 75% of sea level, what is the true airspeed if the indicator shows 200 knots?
Answer: 200 / √0.75 ≈ 230.9 knots
14. Question: A fuel flow sensor measures 250 kg/hour. If the aircraft has 3000 kg of fuel, how many
hours can it fly at this rate?
Answer: 3000 / 250 = 12 hours
15. Question: An angle of attack sensor has a range of -5° to +30°. If it uses a 12-bit ADC for
measurement, what is the theoretical resolution in degrees?
Answer: (30 - (-5)) / 2¹² = 0.0085 degrees
16. Question: A weight-on-wheels sensor activates at 5000 kg. If an aircraft weighs 20,000 kg and has
4 main landing gear struts, at what weight per strut will the sensor activate?
Answer: 5000 / 4 = 1250 kg per strut
17. Question: An aircraft's magnetometer has a sensitivity of 0.1 μT (microtesla). If Earth's magnetic
field strength is typically 50 μT, how many distinct levels can the sensor measure?
Answer: 50 / 0.1 = 500 levels
18. Question: A cabin pressure sensor measures a pressure of 75 kPa. If standard sea level pressure is
101.325 kPa, what is the equivalent cabin altitude in feet? (Use h = 145366.45 * (1 -
(P/P0)^0.190284))
Answer: h = 145366.45 * (1 - (75/101.325)^0.190284) ≈ 8202 feet
19. Question: An aircraft's static port experiences a 2% error in pressure measurement due to
position error. If the true altitude is 10,000 feet, what altitude will the altimeter indicate? (Assume
1% pressure change = 90 feet)
Answer: 10,000 + (2 * 90) = 10,180 feet
20. Question: A vibration sensor on an engine measures a frequency of 50 Hz with an amplitude of
0.5 mm. What is the maximum acceleration experienced? (Use a = (2πf)² * A)
Answer: a = (2π * 50)² * 0.0005 = 49.3 m/s²
21. Question: An aircraft's INS (Inertial Navigation System) drifts at a rate of 1 nautical mile per hour.
After a 5-hour flight, what is the maximum position error?
Answer: 5 * 1 = 5 nautical miles
22. Question: A pitot-static system measures a dynamic pressure of 1500 Pa and a static pressure of
95 kPa. What is the Mach number? (Use M = √(5 * ((1 + q/P)^(2/7) - 1)))
Answer: M = √(5 * ((1 + 1500/95000)^(2/7) - 1)) ≈ 0.157
23. Question: An aircraft's GPS receiver has a position accuracy of ±5 meters. What is the area of
uncertainty for the aircraft's position?
Answer: π * 5² = 78.54 m²
24. Question: A fuel quantity indicator shows fuel mass with a resolution of 10 kg. If the fuel density
is 0.8 kg/L, what is the volume resolution of the indicator?
Answer: 10 / 0.8 = 12.5 L
25. Question: An aircraft's radio altimeter operates at 4.3 GHz. What is the wavelength of this signal?
Answer: λ = c/f = (3 * 10⁸) / (4.3 * 10⁹) ≈ 0.0698 m or 6.98 cm
26. Question: A strain gauge on a wing spar has a gauge factor of 2.1 and a resistance of 120 Ω. If the
measured change in resistance is 0.252 Ω, what is the strain?
Answer: ε = (ΔR/R) / GF = (0.252/120) / 2.1 = 0.001 or 0.1%
27. Question: An aircraft's TCAS (Traffic Collision Avoidance System) can detect aircraft within a 40
nautical mile radius. What is the surveillance volume in cubic kilometers? (1 nmi = 1.852 km)
Answer: (4/3) * π * (40 * 1.852)³ ≈ 386,666 km³
28. Question: A pressure transducer has a sensitivity of 10 mV/kPa. If the full-scale output is 5V, what
is the maximum pressure it can measure?
Answer: 5 / (10 * 10⁻³) = 500 kPa
29. Question: An aircraft's AoA (Angle of Attack) sensor has a range of 0° to 20° and uses an 8-bit
ADC. What is the resolution in degrees?
Answer: 20 / 2⁸ = 0.078125 degrees
30. Question: A temperature sensor in the engine has a time constant of 2 seconds. If the
temperature rises from 200°C to 600°C, how long will it take for the sensor to read 63.2% of this
change?
Answer: 2 seconds (by definition of time constant)
31. Question: An aircraft's weather radar has a beam width of 3°. At a distance of 50 nautical miles,
what is the width of the scanned area?
Answer: 50 * tan(3° * π/180) * 1.852 ≈ 4.85 km
32. Question: A fly-by-wire system has a control loop that runs at 1000 Hz. What is the maximum
time delay between input and output?
Answer: 1 / 1000 = 0.001 seconds or 1 ms
33. Question: An aircraft's static port is located 5 meters ahead of the center of gravity. If the aircraft
pitches up at 5 degrees per second, what is the vertical velocity error introduced?
Answer: 5 * sin(5° * π/180) = 0.436 m/s
34. Question: A capacitive fuel sensor measures a capacitance of 100 pF when empty and 500 pF
when full. If the current reading is 300 pF, what percentage of the tank is filled?
Answer: (300 - 100) / (500 - 100) * 100 = 50%
35. Question: An aircraft's DME (Distance Measuring Equipment) measures a round-trip time of 123
microseconds. What is the distance to the ground station? (Speed of radio waves = 3 * 10⁸ m/s)
Answer: (123 * 10⁻⁶ * 3 * 10⁸) / 2 = 18.45 km
36. Question: A piezoelectric accelerometer has a sensitivity of 100 mV/g. If it outputs 350 mV, what
acceleration is it measuring?
Answer: 350 / 100 = 3.5 g
37. Question: An aircraft's ILS (Instrument Landing System) glideslope has a 3° angle. If an aircraft is
10 nautical miles from the runway threshold, what should its altitude be to be on the glideslope?
Answer: 10 * tan(3° * π/180) * 6076.12 ≈ 3182 feet
38. Question: A cabin pressurization system maintains a pressure differential of 8 psi. If the outside
pressure at cruising altitude is 3 psi, what is the cabin pressure?
Answer: 3 + 8 = 11 psi
39. Question: An aircraft's VOR (VHF Omnidirectional Range) receiver has an accuracy of ±1°. At a
distance of 100 nautical miles from the station, what is the maximum cross-track error?
Answer: 100 * tan(1° * π/180) * 1.852 = 3.23 km
40. Question: A tachometer measures engine RPM with a resolution of 10 RPM. If the engine is
operating at 2400 RPM, what is the maximum percentage error in the reading?
Answer: (10 / 2400) * 100 = 0.417%
41. Question: An aircraft's transponder transmits at 1090 MHz. What is the wavelength of this signal?
Answer: λ = c/f = (3 * 10⁸) / (1090 * 10⁶) ≈ 0.275 m
42. Question: A flux gate compass has a resolution of 0.1°. How many bits are required to represent
all possible headings?
Answer: log₂(360 / 0.1) = 11.82, rounded up to 12 bits
43. Question: An aircraft's AHRS (Attitude and Heading Reference System) updates at 50 Hz. If the
aircraft is rolling at 20°/s, what is the maximum angular error between updates?
Answer: 20 / 50 = 0.4°
44. Question: A pitot tube is heated to prevent icing. If it draws 8 amps at 28 volts, what is its power
consumption?
Answer: P = IV = 8 * 28 = 224 watts
45. Question: An aircraft's radar altimeter has an accuracy of ±3 feet or 2% of altitude, whichever is
greater. At what altitude does the percentage-based accuracy become the dominant factor?
Answer: 3 / 0.02 = 150 feet
46. Question: A rate gyro measures angular velocity with a sensitivity of 50 mV/°/s. If the output
voltage is 1.5V, what is the angular velocity?
Answer: 1.5 / 0.05 = 30°/s
47. Question: An air data computer calculates true airspeed with an accuracy of ±2 knots or ±1%,
whichever is greater. At what airspeed do these two error values coincide?
Answer: 2 / 0.01 = 200 knots
48. Question: A fuel quantity measuring system has a resolution of 5 kg. If an aircraft burns fuel at a
rate of 1000 kg/hour, what is the minimum time between detectable fuel quantity changes?
Answer: 5 / (1000 / 3600) = 18 seconds
49. Question: An aircraft's GPS receiver provides altitude data with a vertical accuracy of ±25 meters
(95% confidence). What is the standard deviation of the altitude measurement?
Answer: 25 / 1.96 ≈ 12.76 meters (assuming normal distribution)
50. Question: A temperature sensor in the cabin has a range of -50°C to +50°C and uses a 10-bit ADC.
What is the temperature resolution?
Answer: (50 - (-50)) / 2¹⁰ = 0.0977°C
51. Question: An aircraft's stick shaker activates at 10° angle of attack. If the current AoA is 8° and
increasing at 0.5°/s, how long until the stick shaker activates?
Answer: (10 - 8) / 0.5 = 4 seconds
52. Question: A laser altimeter measures height above ground with a precision of 1 cm. How many
distinct altitude measurements can it make in a range of 0 to 1000 meters?
Answer: (1000 * 100) + 1 = 100,001 measurements
53. Question: An aircraft's weather radar has a range of 200 nautical miles. If it scans a 120° arc in
front of the aircraft, what area can it survey?
Answer: (π * (200 * 1.852)² * 120) / 360 ≈ 77,153 km²
54. Question: A pressure sensor in the hydraulic system has a full-scale range of 5000 psi and a
resolution of 12 bits. What is the pressure change represented by 1 bit?
Answer: 5000 / 2¹² = 1.22 psi
55. Question: An aircraft's ADF (Automatic Direction Finder) has a bearing accuracy of ±5°. If the
aircraft is 100 nm from the NDB station, what is the maximum cross-track error?
Answer: 100 * tan(5° * π/180) * 1.852 = 16.18 km
56. Question: A fuel flow meter measures flow with an accuracy of ±1% of reading. If the current fuel
flow is 1000 kg/hour, what is the maximum error in kg/minute?
Answer: (1000 * 0.01) / 60 = 0.167 kg/minute
57. Question: An aircraft's TCAS antenna has a vertical beam width of 30°. At a range of 10 nautical
miles, what is the vertical coverage?
6. Question: A pitot tube measures a pressure difference of 2500 Pa. If the air density is 1.225 kg/m³,
what is the airspeed? (Use v = √(2ΔP/ρ))
Answer: v = √(2 * 2500 / 1.225) ≈ 63.9 m/s
7. Question: An attitude indicator has a pitch sensitivity of 0.5 degrees per millimeter of
displacement. If the display shows a 10 mm displacement, what is the pitch angle?
Answer: 10 * 0.5 = 5 degrees
8. Question: A rate-of-climb indicator shows a vertical speed of 1500 feet per minute. How many
meters per second is this?
Answer: 1500 ft/min * (0.3048 m/ft) * (1 min/60 sec) = 7.62 m/s
9. Question: An aircraft's accelerometer has a range of ±10g. If 1g corresponds to 9.81 m/s², what is
the maximum acceleration the sensor can measure in m/s²?
Answer: 10 * 9.81 = 98.1 m/s²
10. Question: A heading indicator has a resolution of 0.1 degrees. How many distinct headings can it
display in a full 360-degree rotation?
Answer: 360 / 0.1 = 3600 distinct headings
11. Question: An engine temperature sensor has a linear response of 10 mV/°C. If the sensor output
is 250 mV at 0°C, what temperature does an output of 450 mV indicate?
Answer: (450 - 250) / 10 = 20°C
12. Question: A radar altimeter transmits a signal that returns after 66 microseconds. If the speed of
radio waves is 3 * 10⁸ m/s, what is the aircraft's altitude?
Answer: (66 * 10⁻⁶ * 3 * 10⁸) / 2 = 9900 meters
13. Question: An airspeed indicator is calibrated for sea level conditions. At an altitude where air
density is 75% of sea level, what is the true airspeed if the indicator shows 200 knots?
Answer: 200 / √0.75 ≈ 230.9 knots
14. Question: A fuel flow sensor measures 250 kg/hour. If the aircraft has 3000 kg of fuel, how many
hours can it fly at this rate?
Answer: 3000 / 250 = 12 hours
15. Question: An angle of attack sensor has a range of -5° to +30°. If it uses a 12-bit ADC for
measurement, what is the theoretical resolution in degrees?
Answer: (30 - (-5)) / 2¹² = 0.0085 degrees
16. Question: A weight-on-wheels sensor activates at 5000 kg. If an aircraft weighs 20,000 kg and has
4 main landing gear struts, at what weight per strut will the sensor activate?
Answer: 5000 / 4 = 1250 kg per strut
17. Question: An aircraft's magnetometer has a sensitivity of 0.1 μT (microtesla). If Earth's magnetic
field strength is typically 50 μT, how many distinct levels can the sensor measure?
Answer: 50 / 0.1 = 500 levels
18. Question: A cabin pressure sensor measures a pressure of 75 kPa. If standard sea level pressure is
101.325 kPa, what is the equivalent cabin altitude in feet? (Use h = 145366.45 * (1 -
(P/P0)^0.190284))
Answer: h = 145366.45 * (1 - (75/101.325)^0.190284) ≈ 8202 feet
19. Question: An aircraft's static port experiences a 2% error in pressure measurement due to
position error. If the true altitude is 10,000 feet, what altitude will the altimeter indicate? (Assume
1% pressure change = 90 feet)
Answer: 10,000 + (2 * 90) = 10,180 feet
20. Question: A vibration sensor on an engine measures a frequency of 50 Hz with an amplitude of
0.5 mm. What is the maximum acceleration experienced? (Use a = (2πf)² * A)
Answer: a = (2π * 50)² * 0.0005 = 49.3 m/s²
21. Question: An aircraft's INS (Inertial Navigation System) drifts at a rate of 1 nautical mile per hour.
After a 5-hour flight, what is the maximum position error?
Answer: 5 * 1 = 5 nautical miles
22. Question: A pitot-static system measures a dynamic pressure of 1500 Pa and a static pressure of
95 kPa. What is the Mach number? (Use M = √(5 * ((1 + q/P)^(2/7) - 1)))
Answer: M = √(5 * ((1 + 1500/95000)^(2/7) - 1)) ≈ 0.157
23. Question: An aircraft's GPS receiver has a position accuracy of ±5 meters. What is the area of
uncertainty for the aircraft's position?
Answer: π * 5² = 78.54 m²
24. Question: A fuel quantity indicator shows fuel mass with a resolution of 10 kg. If the fuel density
is 0.8 kg/L, what is the volume resolution of the indicator?
Answer: 10 / 0.8 = 12.5 L
25. Question: An aircraft's radio altimeter operates at 4.3 GHz. What is the wavelength of this signal?
Answer: λ = c/f = (3 * 10⁸) / (4.3 * 10⁹) ≈ 0.0698 m or 6.98 cm
26. Question: A strain gauge on a wing spar has a gauge factor of 2.1 and a resistance of 120 Ω. If the
measured change in resistance is 0.252 Ω, what is the strain?
Answer: ε = (ΔR/R) / GF = (0.252/120) / 2.1 = 0.001 or 0.1%
27. Question: An aircraft's TCAS (Traffic Collision Avoidance System) can detect aircraft within a 40
nautical mile radius. What is the surveillance volume in cubic kilometers? (1 nmi = 1.852 km)
Answer: (4/3) * π * (40 * 1.852)³ ≈ 386,666 km³
28. Question: A pressure transducer has a sensitivity of 10 mV/kPa. If the full-scale output is 5V, what
is the maximum pressure it can measure?
Answer: 5 / (10 * 10⁻³) = 500 kPa
29. Question: An aircraft's AoA (Angle of Attack) sensor has a range of 0° to 20° and uses an 8-bit
ADC. What is the resolution in degrees?
Answer: 20 / 2⁸ = 0.078125 degrees
30. Question: A temperature sensor in the engine has a time constant of 2 seconds. If the
temperature rises from 200°C to 600°C, how long will it take for the sensor to read 63.2% of this
change?
Answer: 2 seconds (by definition of time constant)
31. Question: An aircraft's weather radar has a beam width of 3°. At a distance of 50 nautical miles,
what is the width of the scanned area?
Answer: 50 * tan(3° * π/180) * 1.852 ≈ 4.85 km
32. Question: A fly-by-wire system has a control loop that runs at 1000 Hz. What is the maximum
time delay between input and output?
Answer: 1 / 1000 = 0.001 seconds or 1 ms
33. Question: An aircraft's static port is located 5 meters ahead of the center of gravity. If the aircraft
pitches up at 5 degrees per second, what is the vertical velocity error introduced?
Answer: 5 * sin(5° * π/180) = 0.436 m/s
34. Question: A capacitive fuel sensor measures a capacitance of 100 pF when empty and 500 pF
when full. If the current reading is 300 pF, what percentage of the tank is filled?
Answer: (300 - 100) / (500 - 100) * 100 = 50%
35. Question: An aircraft's DME (Distance Measuring Equipment) measures a round-trip time of 123
microseconds. What is the distance to the ground station? (Speed of radio waves = 3 * 10⁸ m/s)
Answer: (123 * 10⁻⁶ * 3 * 10⁸) / 2 = 18.45 km
36. Question: A piezoelectric accelerometer has a sensitivity of 100 mV/g. If it outputs 350 mV, what
acceleration is it measuring?
Answer: 350 / 100 = 3.5 g
37. Question: An aircraft's ILS (Instrument Landing System) glideslope has a 3° angle. If an aircraft is
10 nautical miles from the runway threshold, what should its altitude be to be on the glideslope?
Answer: 10 * tan(3° * π/180) * 6076.12 ≈ 3182 feet
38. Question: A cabin pressurization system maintains a pressure differential of 8 psi. If the outside
pressure at cruising altitude is 3 psi, what is the cabin pressure?
Answer: 3 + 8 = 11 psi
39. Question: An aircraft's VOR (VHF Omnidirectional Range) receiver has an accuracy of ±1°. At a
distance of 100 nautical miles from the station, what is the maximum cross-track error?
Answer: 100 * tan(1° * π/180) * 1.852 = 3.23 km
40. Question: A tachometer measures engine RPM with a resolution of 10 RPM. If the engine is
operating at 2400 RPM, what is the maximum percentage error in the reading?
Answer: (10 / 2400) * 100 = 0.417%
41. Question: An aircraft's transponder transmits at 1090 MHz. What is the wavelength of this signal?
Answer: λ = c/f = (3 * 10⁸) / (1090 * 10⁶) ≈ 0.275 m
42. Question: A flux gate compass has a resolution of 0.1°. How many bits are required to represent
all possible headings?
Answer: log₂(360 / 0.1) = 11.82, rounded up to 12 bits
43. Question: An aircraft's AHRS (Attitude and Heading Reference System) updates at 50 Hz. If the
aircraft is rolling at 20°/s, what is the maximum angular error between updates?
Answer: 20 / 50 = 0.4°
44. Question: A pitot tube is heated to prevent icing. If it draws 8 amps at 28 volts, what is its power
consumption?
Answer: P = IV = 8 * 28 = 224 watts
45. Question: An aircraft's radar altimeter has an accuracy of ±3 feet or 2% of altitude, whichever is
greater. At what altitude does the percentage-based accuracy become the dominant factor?
Answer: 3 / 0.02 = 150 feet
46. Question: A rate gyro measures angular velocity with a sensitivity of 50 mV/°/s. If the output
voltage is 1.5V, what is the angular velocity?
Answer: 1.5 / 0.05 = 30°/s
47. Question: An air data computer calculates true airspeed with an accuracy of ±2 knots or ±1%,
whichever is greater. At what airspeed do these two error values coincide?
Answer: 2 / 0.01 = 200 knots
48. Question: A fuel quantity measuring system has a resolution of 5 kg. If an aircraft burns fuel at a
rate of 1000 kg/hour, what is the minimum time between detectable fuel quantity changes?
Answer: 5 / (1000 / 3600) = 18 seconds
49. Question: An aircraft's GPS receiver provides altitude data with a vertical accuracy of ±25 meters
(95% confidence). What is the standard deviation of the altitude measurement?
Answer: 25 / 1.96 ≈ 12.76 meters (assuming normal distribution)
50. Question: A temperature sensor in the cabin has a range of -50°C to +50°C and uses a 10-bit ADC.
What is the temperature resolution?
Answer: (50 - (-50)) / 2¹⁰ = 0.0977°C
51. Question: An aircraft's stick shaker activates at 10° angle of attack. If the current AoA is 8° and
increasing at 0.5°/s, how long until the stick shaker activates?
Answer: (10 - 8) / 0.5 = 4 seconds
52. Question: A laser altimeter measures height above ground with a precision of 1 cm. How many
distinct altitude measurements can it make in a range of 0 to 1000 meters?
Answer: (1000 * 100) + 1 = 100,001 measurements
53. Question: An aircraft's weather radar has a range of 200 nautical miles. If it scans a 120° arc in
front of the aircraft, what area can it survey?
Answer: (π * (200 * 1.852)² * 120) / 360 ≈ 77,153 km²
54. Question: A pressure sensor in the hydraulic system has a full-scale range of 5000 psi and a
resolution of 12 bits. What is the pressure change represented by 1 bit?
Answer: 5000 / 2¹² = 1.22 psi
55. Question: An aircraft's ADF (Automatic Direction Finder) has a bearing accuracy of ±5°. If the
aircraft is 100 nm from the NDB station, what is the maximum cross-track error?
Answer: 100 * tan(5° * π/180) * 1.852 = 16.18 km
56. Question: A fuel flow meter measures flow with an accuracy of ±1% of reading. If the current fuel
flow is 1000 kg/hour, what is the maximum error in kg/minute?
Answer: (1000 * 0.01) / 60 = 0.167 kg/minute
57. Question: An aircraft's TCAS antenna has a vertical beam width of 30°. At a range of 10 nautical
miles, what is the vertical coverage?
6. Question: A pitot tube measures a pressure difference of 2500 Pa. If the air density is 1.225 kg/m³,
what is the airspeed? (Use v = √(2ΔP/ρ))
Answer: v = √(2 * 2500 / 1.225) ≈ 63.9 m/s
7. Question: An attitude indicator has a pitch sensitivity of 0.5 degrees per millimeter of
displacement. If the display shows a 10 mm displacement, what is the pitch angle?
Answer: 10 * 0.5 = 5 degrees
8. Question: A rate-of-climb indicator shows a vertical speed of 1500 feet per minute. How many
meters per second is this?
Answer: 1500 ft/min * (0.3048 m/ft) * (1 min/60 sec) = 7.62 m/s
9. Question: An aircraft's accelerometer has a range of ±10g. If 1g corresponds to 9.81 m/s², what is
the maximum acceleration the sensor can measure in m/s²?
Answer: 10 * 9.81 = 98.1 m/s²
10. Question: A heading indicator has a resolution of 0.1 degrees. How many distinct headings can it
display in a full 360-degree rotation?
Answer: 360 / 0.1 = 3600 distinct headings
11. Question: An engine temperature sensor has a linear response of 10 mV/°C. If the sensor output
is 250 mV at 0°C, what temperature does an output of 450 mV indicate?
Answer: (450 - 250) / 10 = 20°C
12. Question: A radar altimeter transmits a signal that returns after 66 microseconds. If the speed of
radio waves is 3 * 10⁸ m/s, what is the aircraft's altitude?
Answer: (66 * 10⁻⁶ * 3 * 10⁸) / 2 = 9900 meters
13. Question: An airspeed indicator is calibrated for sea level conditions. At an altitude where air
density is 75% of sea level, what is the true airspeed if the indicator shows 200 knots?
Answer: 200 / √0.75 ≈ 230.9 knots
14. Question: A fuel flow sensor measures 250 kg/hour. If the aircraft has 3000 kg of fuel, how many
hours can it fly at this rate?
Answer: 3000 / 250 = 12 hours
15. Question: An angle of attack sensor has a range of -5° to +30°. If it uses a 12-bit ADC for
measurement, what is the theoretical resolution in degrees?
Answer: (30 - (-5)) / 2¹² = 0.0085 degrees
16. Question: A weight-on-wheels sensor activates at 5000 kg. If an aircraft weighs 20,000 kg and has
4 main landing gear struts, at what weight per strut will the sensor activate?
Answer: 5000 / 4 = 1250 kg per strut
17. Question: An aircraft's magnetometer has a sensitivity of 0.1 μT (microtesla). If Earth's magnetic
field strength is typically 50 μT, how many distinct levels can the sensor measure?
Answer: 50 / 0.1 = 500 levels
18. Question: A cabin pressure sensor measures a pressure of 75 kPa. If standard sea level pressure is
101.325 kPa, what is the equivalent cabin altitude in feet? (Use h = 145366.45 * (1 -
(P/P0)^0.190284))
Answer: h = 145366.45 * (1 - (75/101.325)^0.190284) ≈ 8202 feet
19. Question: An aircraft's static port experiences a 2% error in pressure measurement due to
position error. If the true altitude is 10,000 feet, what altitude will the altimeter indicate? (Assume
1% pressure change = 90 feet)
Answer: 10,000 + (2 * 90) = 10,180 feet
20. Question: A vibration sensor on an engine measures a frequency of 50 Hz with an amplitude of
0.5 mm. What is the maximum acceleration experienced? (Use a = (2πf)² * A)
Answer: a = (2π * 50)² * 0.0005 = 49.3 m/s²
21. Question: An aircraft's INS (Inertial Navigation System) drifts at a rate of 1 nautical mile per hour.
After a 5-hour flight, what is the maximum position error?
Answer: 5 * 1 = 5 nautical miles
22. Question: A pitot-static system measures a dynamic pressure of 1500 Pa and a static pressure of
95 kPa. What is the Mach number? (Use M = √(5 * ((1 + q/P)^(2/7) - 1)))
Answer: M = √(5 * ((1 + 1500/95000)^(2/7) - 1)) ≈ 0.157
23. Question: An aircraft's GPS receiver has a position accuracy of ±5 meters. What is the area of
uncertainty for the aircraft's position?
Answer: π * 5² = 78.54 m²
24. Question: A fuel quantity indicator shows fuel mass with a resolution of 10 kg. If the fuel density
is 0.8 kg/L, what is the volume resolution of the indicator?
Answer: 10 / 0.8 = 12.5 L
25. Question: An aircraft's radio altimeter operates at 4.3 GHz. What is the wavelength of this signal?
Answer: λ = c/f = (3 * 10⁸) / (4.3 * 10⁹) ≈ 0.0698 m or 6.98 cm
26. Question: A strain gauge on a wing spar has a gauge factor of 2.1 and a resistance of 120 Ω. If the
measured change in resistance is 0.252 Ω, what is the strain?
Answer: ε = (ΔR/R) / GF = (0.252/120) / 2.1 = 0.001 or 0.1%
27. Question: An aircraft's TCAS (Traffic Collision Avoidance System) can detect aircraft within a 40
nautical mile radius. What is the surveillance volume in cubic kilometers? (1 nmi = 1.852 km)
Answer: (4/3) * π * (40 * 1.852)³ ≈ 386,666 km³
28. Question: A pressure transducer has a sensitivity of 10 mV/kPa. If the full-scale output is 5V, what
is the maximum pressure it can measure?
Answer: 5 / (10 * 10⁻³) = 500 kPa
29. Question: An aircraft's AoA (Angle of Attack) sensor has a range of 0° to 20° and uses an 8-bit
ADC. What is the resolution in degrees?
Answer: 20 / 2⁸ = 0.078125 degrees
30. Question: A temperature sensor in the engine has a time constant of 2 seconds. If the
temperature rises from 200°C to 600°C, how long will it take for the sensor to read 63.2% of this
change?
Answer: 2 seconds (by definition of time constant)
31. Question: An aircraft's weather radar has a beam width of 3°. At a distance of 50 nautical miles,
what is the width of the scanned area?
Answer: 50 * tan(3° * π/180) * 1.852 ≈ 4.85 km
32. Question: A fly-by-wire system has a control loop that runs at 1000 Hz. What is the maximum
time delay between input and output?
Answer: 1 / 1000 = 0.001 seconds or 1 ms
33. Question: An aircraft's static port is located 5 meters ahead of the center of gravity. If the aircraft
pitches up at 5 degrees per second, what is the vertical velocity error introduced?
Answer: 5 * sin(5° * π/180) = 0.436 m/s
34. Question: A capacitive fuel sensor measures a capacitance of 100 pF when empty and 500 pF
when full. If the current reading is 300 pF, what percentage of the tank is filled?
Answer: (300 - 100) / (500 - 100) * 100 = 50%
35. Question: An aircraft's DME (Distance Measuring Equipment) measures a round-trip time of 123
microseconds. What is the distance to the ground station? (Speed of radio waves = 3 * 10⁸ m/s)
Answer: (123 * 10⁻⁶ * 3 * 10⁸) / 2 = 18.45 km
36. Question: A piezoelectric accelerometer has a sensitivity of 100 mV/g. If it outputs 350 mV, what
acceleration is it measuring?
Answer: 350 / 100 = 3.5 g
37. Question: An aircraft's ILS (Instrument Landing System) glideslope has a 3° angle. If an aircraft is
10 nautical miles from the runway threshold, what should its altitude be to be on the glideslope?
Answer: 10 * tan(3° * π/180) * 6076.12 ≈ 3182 feet
38. Question: A cabin pressurization system maintains a pressure differential of 8 psi. If the outside
pressure at cruising altitude is 3 psi, what is the cabin pressure?
Answer: 3 + 8 = 11 psi
39. Question: An aircraft's VOR (VHF Omnidirectional Range) receiver has an accuracy of ±1°. At a
distance of 100 nautical miles from the station, what is the maximum cross-track error?
Answer: 100 * tan(1° * π/180) * 1.852 = 3.23 km
40. Question: A tachometer measures engine RPM with a resolution of 10 RPM. If the engine is
operating at 2400 RPM, what is the maximum percentage error in the reading?
Answer: (10 / 2400) * 100 = 0.417%
41. Question: An aircraft's transponder transmits at 1090 MHz. What is the wavelength of this signal?
Answer: λ = c/f = (3 * 10⁸) / (1090 * 10⁶) ≈ 0.275 m
42. Question: A flux gate compass has a resolution of 0.1°. How many bits are required to represent
all possible headings?
Answer: log₂(360 / 0.1) = 11.82, rounded up to 12 bits
43. Question: An aircraft's AHRS (Attitude and Heading Reference System) updates at 50 Hz. If the
aircraft is rolling at 20°/s, what is the maximum angular error between updates?
Answer: 20 / 50 = 0.4°
44. Question: A pitot tube is heated to prevent icing. If it draws 8 amps at 28 volts, what is its power
consumption?
Answer: P = IV = 8 * 28 = 224 watts
45. Question: An aircraft's radar altimeter has an accuracy of ±3 feet or 2% of altitude, whichever is
greater. At what altitude does the percentage-based accuracy become the dominant factor?
Answer: 3 / 0.02 = 150 feet
46. Question: A rate gyro measures angular velocity with a sensitivity of 50 mV/°/s. If the output
voltage is 1.5V, what is the angular velocity?
Answer: 1.5 / 0.05 = 30°/s
47. Question: An air data computer calculates true airspeed with an accuracy of ±2 knots or ±1%,
whichever is greater. At what airspeed do these two error values coincide?
Answer: 2 / 0.01 = 200 knots
48. Question: A fuel quantity measuring system has a resolution of 5 kg. If an aircraft burns fuel at a
rate of 1000 kg/hour, what is the minimum time between detectable fuel quantity changes?
Answer: 5 / (1000 / 3600) = 18 seconds
49. Question: An aircraft's GPS receiver provides altitude data with a vertical accuracy of ±25 meters
(95% confidence). What is the standard deviation of the altitude measurement?
Answer: 25 / 1.96 ≈ 12.76 meters (assuming normal distribution)
50. Question: A temperature sensor in the cabin has a range of -50°C to +50°C and uses a 10-bit ADC.
What is the temperature resolution?
Answer: (50 - (-50)) / 2¹⁰ = 0.0977°C
51. Question: An aircraft's stick shaker activates at 10° angle of attack. If the current AoA is 8° and
increasing at 0.5°/s, how long until the stick shaker activates?
Answer: (10 - 8) / 0.5 = 4 seconds
52. Question: A laser altimeter measures height above ground with a precision of 1 cm. How many
distinct altitude measurements can it make in a range of 0 to 1000 meters?
Answer: (1000 * 100) + 1 = 100,001 measurements
53. Question: An aircraft's weather radar has a range of 200 nautical miles. If it scans a 120° arc in
front of the aircraft, what area can it survey?
Answer: (π * (200 * 1.852)² * 120) / 360 ≈ 77,153 km²
54. Question: A pressure sensor in the hydraulic system has a full-scale range of 5000 psi and a
resolution of 12 bits. What is the pressure change represented by 1 bit?
Answer: 5000 / 2¹² = 1.22 psi
55. Question: An aircraft's ADF (Automatic Direction Finder) has a bearing accuracy of ±5°. If the
aircraft is 100 nm from the NDB station, what is the maximum cross-track error?
Answer: 100 * tan(5° * π/180) * 1.852 = 16.18 km
56. Question: A fuel flow meter measures flow with an accuracy of ±1% of reading. If the current fuel
flow is 1000 kg/hour, what is the maximum error in kg/minute?
Answer: (1000 * 0.01) / 60 = 0.167 kg/minute
57. Question: An aircraft's TCAS antenna has a vertical beam width of 30°. At a range of 10 nautical
miles, what is the vertical coverage?
58. Question: A piezoelectric vibration sensor has a sensitivity of
