Mathematical Problems in Aircraft Stability and Control Analysis:
Multiple Choice Questions on the Analysis of Stability and Control
Characteristics of Aircraft, Including Dynamic Stability and Control
Response
1. An aircraft has a pitch damping coefficient (Cmq) of -15 per radian. If the pitch rate increases by
0.1 rad/s, what is the resulting pitching moment coefficient change?
a) -1.5 b) -1.2 c) -0.9 d) -0.6
Answer: a) -1.5
2. The short period frequency of an aircraft is 2.5 Hz. What is its period in seconds?
a) 0.2 s b) 0.3 s c) 0.4 s d) 0.5 s
Answer: c) 0.4 s
3. An aircraft has a roll mode time constant of 0.5 seconds. After a roll disturbance, what percentage
of the initial roll rate remains after 1 second?
a) 13.5% b) 36.8% c) 60.7% d) 86.5%
Answer: b) 36.8%
4. The phugoid mode of an aircraft has a damping ratio of 0.1 and a natural frequency of 0.2 rad/s.
What is the time to half amplitude?
a) 17.3 s b) 34.7 s c) 69.3 s d) 138.6 s
Answer: b) 34.7 s
5. An aircraft has a yaw damping coefficient (Cnr) of -0.25 per radian. If the yaw rate is 5 deg/s, what
is the resulting yawing moment coefficient?
a) -0.0218 b) -0.0436 c) -0.0654 d) -0.0872
Answer: a) -0.0218
6. The dutch roll mode of an aircraft has a frequency of 1.2 Hz and a damping ratio of 0.15. What is
its time period?
a) 0.69 s b) 0.83 s c) 0.97 s d) 1.11 s
Answer: b) 0.83 s
7. An aircraft's elevator effectiveness (Cmδe) is -1.2 per radian. How many degrees of elevator
deflection are needed to generate a pitching moment coefficient of -0.1?
a) 2.39° b) 3.82° c) 4.77° d) 5.73°
Answer: c) 4.77°
8. The spiral mode of an aircraft has a time to double amplitude of 15 seconds. What is its time
constant?
a) 10.8 s b) 15.6 s c) 21.6 s d) 30.0 s
Answer: c) 21.6 s
9. An aircraft has a lift curve slope (CLα) of 5.2 per radian. What is the change in lift coefficient for a
3° increase in angle of attack?
a) 0.227 b) 0.272 c) 0.318 d) 0.363
Answer: b) 0.272
10. The short period mode of an aircraft has a damping ratio of 0.5 and a natural frequency of 4
rad/s. What is its damped frequency?
a) 2.83 rad/s b) 3.46 rad/s c) 3.87 rad/s d) 4.62 rad/s
Answer: b) 3.46 rad/s
11. An aircraft has a roll damping coefficient (Clp) of -0.5 per radian. If the roll rate is 30 deg/s, what
is the resulting rolling moment coefficient?
a) -0.131 b) -0.218 c) -0.262 d) -0.305
Answer: c) -0.262
12. The phugoid mode of an aircraft has a period of 45 seconds. What is its natural frequency in
rad/s?
a) 0.105 b) 0.140 c) 0.175 d) 0.210
Answer: b) 0.140
13. An aircraft's aileron effectiveness (Clδa) is 0.15 per degree. How many degrees of aileron
deflection are needed to generate a rolling moment coefficient of 0.045?
a) 15° b) 20° c) 25° d) 30°
Answer: d) 30°
14. The dutch roll mode of an aircraft has a damping ratio of 0.2 and a natural frequency of 2.5 rad/s.
What is its time to half amplitude?
a) 0.69 s b) 1.39 s c) 2.08 s d) 2.77 s
Answer: b) 1.39 s
15. An aircraft has a pitch stiffness coefficient (Cmα) of -0.8 per radian. What is the change in pitching
moment coefficient for a 5° change in angle of attack?
a) -0.0349 b) -0.0524 c) -0.0698 d) -0.0873
Answer: c) -0.0698
16. The roll subsidence mode of an aircraft has a time constant of 0.3 seconds. What percentage of
the initial roll rate remains after 0.9 seconds?
a) 4.98% b) 9.07% c) 13.53% d) 18.89%
Answer: c) 13.53%
17. An aircraft has a yaw stiffness coefficient (Cnβ) of 0.12 per degree. What is the change in yawing
moment coefficient for a sideslip angle of 8°?
a) 0.768 b) 0.864 c) 0.960 d) 1.056
Answer: c) 0.960
18. The short period mode of an aircraft has a damping ratio of 0.6 and a natural frequency of 5
rad/s. What is its time to half amplitude?
a) 0.185 s b) 0.231 s c) 0.277 s d) 0.323 s
Answer: b) 0.231 s
19. An aircraft's rudder effectiveness (Cnδr) is 0.08 per degree. How many degrees of rudder
deflection are needed to generate a yawing moment coefficient of 0.16?
a) 10° b) 15° c) 20° d) 25°
Answer: c) 20°
20. The phugoid mode of an aircraft has a damping ratio of 0.05 and a natural frequency of 0.1 rad/s.
What is its time period?
a) 31.4 s b) 47.1 s c) 62.8 s d) 78.5 s
Answer: c) 62.8 s
21. An aircraft has a roll-yaw coupling coefficient (Clr) of 0.1 per radian. If the yaw rate is 10 deg/s,
what is the resulting rolling moment coefficient?
a) 0.0087 b) 0.0175 c) 0.0262 d) 0.0349
Answer: b) 0.0175
22. The dutch roll mode of an aircraft has a frequency of 1.5 Hz and a damping ratio of 0.25. What is
its natural frequency in rad/s?
a) 7.54 b) 8.64 c) 9.42 d) 10.18
Answer: c) 9.42
23. An aircraft's elevator control power (Cmδe) is -1.5 per radian. What elevator deflection (in
degrees) is required to produce a pitching moment coefficient of -0.2?
a) 4.58° b) 5.73° c) 6.87° d) 7.64°
Answer: c) 6.87°
24. The spiral mode of an aircraft has a time constant of 25 seconds. What percentage of the initial
perturbation remains after 1 minute?
a) 8.21% b) 13.53% c) 18.89% d) 24.31%
Answer: a) 8.21%
25. An aircraft has a lift-curve slope (CLα) of 5.5 per radian. What is the stall angle of attack in
degrees if the maximum lift coefficient is 1.5?
a) 13.1° b) 15.7° c) 18.2° d) 20.8°
Answer: b) 15.7°
26. The short period mode of an aircraft has a natural frequency of 6 rad/s and a damping ratio of
0.4. What is its damped frequency?
a) 4.8 rad/s b) 5.2 rad/s c) 5.6 rad/s d) 6.0 rad/s
Answer: c) 5.6 rad/s
27. An aircraft has a roll damping coefficient (Clp) of -0.4 per radian. What steady-state roll rate (in
deg/s) will be achieved with a constant rolling moment coefficient of 0.05?
a) 21.5°/s b) 35.8°/s c) 43.0°/s d) 57.3°/s
Answer: c) 43.0°/s
28. The phugoid mode of an aircraft has a period of 40 seconds and a damping ratio of 0.08. What is
its time to double amplitude?
a) 69.3 s b) 138.6 s c) 207.9 s d) 277.2 s
Answer: b) 138.6 s
29. An aircraft's aileron effectiveness (Clδa) is 0.18 per degree. What aileron deflection (in degrees) is
required to maintain a steady roll rate of 45 deg/s if the roll damping coefficient (Clp) is -0.5 per
radian?
a) 5.73° b) 7.16° c) 8.59° d) 10.02°
Answer: c) 8.59°
30. The dutch roll mode of an aircraft has a natural frequency of 3 rad/s and a damping ratio of 0.3.
What is its time period?
a) 1.57 s b) 2.09 s c) 2.61 s d) 3.14 s
Answer: b) 2.09 s
31. An aircraft has a pitch stiffness coefficient (Cmα) of -1.2 per radian and a pitch damping
coefficient (Cmq) of -18 per radian. What is the undamped natural frequency of the short period
mode if the pitch radius of gyration is 1.2 meters?
a) 3.16 rad/s b) 4.08 rad/s c) 5.00 rad/s d) 5.92 rad/s
Answer: b) 4.08 rad/s
32. The roll subsidence mode of an aircraft has a time constant of 0.4 seconds. What percentage of
the initial roll rate remains after 1.2 seconds?
a) 4.98% b) 9.07% c) 13.53% d) 18.89%
Answer: a) 4.98%
33. An aircraft has a yaw stiffness coefficient (Cnβ) of 0.15 per degree and a yaw damping coefficient
(Cnr) of -0.3 per radian. What is the undamped natural frequency of the dutch roll mode if the yaw
radius of gyration is 1.5 meters?
a) 2.45 rad/s b) 2.83 rad/s c) 3.16 rad/s d) 3.46 rad/s
Answer: c) 3.16 rad/s
34. The short period mode of an aircraft has a damping ratio of 0.5 and a natural frequency of 4.5
rad/s. What is its time to half amplitude?
a) 0.205 s b) 0.257 s c) 0.308 s d) 0.359 s
Answer: c) 0.308 s
35. An aircraft's rudder effectiveness (Cnδr) is 0.1 per degree. How many degrees of rudder
deflection are needed to generate a yawing moment coefficient of 0.25?
a) 15° b) 20° c) 25° d) 30°
Answer: c) 25°
36. The phugoid mode of an aircraft has a damping ratio of 0.06 and a natural frequency of 0.15
rad/s. What is its time to half amplitude?
a) 51.3 s b) 77.0 s c) 102.6 s d) 128.3 s
Answer: b) 77.0 s
37. An aircraft has a roll-yaw coupling coefficient (Cnp) of -0.08 per radian. If the roll rate is 20 deg/s,
what is the resulting yawing moment coefficient?
a) -0.0140 b) -0.0175 c) -0.0210 d) -0.0245
Answer: a) -0.0140
38. The dutch roll mode of an aircraft has a frequency of 1.8 Hz and a damping ratio of 0.2. What is
its time to double amplitude?
a) 1.54 s b) 3.08 s c) 4.62 s d) 6.16 s
Answer: b) 3.08 s
39. An aircraft's elevator control power (Cmδe) is -1.8 per radian. What elevator deflection (in
degrees) is required to produce a pitching moment coefficient of -0.3?
a) 7.64° b) 8.59° c) 9.55° d) 10.50°
Answer: c) 9.55°
40. The spiral mode of an aircraft has a time constant of 30 seconds. What percentage of the initial
perturbation remains after 2 minutes?
a) 1.83% b) 3.35% c) 4.98% d) 6.74%
Answer: c) 4.98%
41. An aircraft has a lift-curve slope (CLα) of 6.0 per radian. What is the change in lift coefficient for a
4° decrease in angle of attack?
a) -0.314 b) -0.349 c) -0.384 d) -0.419
Answer: c) -0.384
42. The short period mode of an aircraft has a natural frequency of 5 rad/s and a damping ratio of
0.6. What is its damped frequency?
a) 3.0 rad/s b) 3.5 rad/s c) 4.0 rad/s d) 4.5 rad/s
Answer: c) 4.0 rad/s
43. An aircraft has a roll damping coefficient (Clp) of -0.6 per radian. What steady-state roll rate (in
deg/s) will be achieved with a constant rolling moment coefficient of 0.08?
a) 38.2°/s b) 45.8°/s c) 53.4°/s d) 61.0°/s
Answer: c) 53.4°/s
44. The phugoid mode of an aircraft has a period of 50 seconds and a damping ratio of 0.1. What is
its time to half amplitude?
a) 69.3 s b) 110.3 s c) 138.6 s d) 173.3 s
Answer: b) 110.3 s
The phugoid mode of an aircraft has a period of 40 seconds and a damping ratio of 0.08. What is its
time to double amplitude?
a) 69.3 s b) 138.6 s c) 207.9 s d) 277.2 s
Answer: b) 138.6 s
29. An aircraft's aileron effectiveness (Clδa) is 0.18 per degree. What aileron deflection (in degrees) is
required to maintain a steady roll rate of 45 deg/s if the roll damping coefficient (Clp) is -0.5 per
radian?
a) 5.73° b) 7.16° c) 8.59° d) 10.02°
Answer: c) 8.59°
30. The dutch roll mode of an aircraft has a natural frequency of 3 rad/s and a damping ratio of 0.3.
What is its time period?
a) 1.57 s b) 2.09 s c) 2.61 s d) 3.14 s
Answer: b) 2.09 s
31. An aircraft has a pitch stiffness coefficient (Cmα) of -1.2 per radian and a pitch damping
coefficient (Cmq) of -18 per radian. What is the undamped natural frequency of the short period
mode if the pitch radius of gyration is 1.2 meters?
a) 3.16 rad/s b) 4.08 rad/s c) 5.00 rad/s d) 5.92 rad/s
Answer: b) 4.08 rad/s
32. The roll subsidence mode of an aircraft has a time constant of 0.4 seconds. What percentage of
the initial roll rate remains after 1.2 seconds?
a) 4.98% b) 9.07% c) 13.53% d) 18.89%
Answer: a) 4.98%
33. An aircraft has a yaw stiffness coefficient (Cnβ) of 0.15 per degree and a yaw damping coefficient
(Cnr) of -0.3 per radian. What is the undamped natural frequency of the dutch roll mode if the yaw
radius of gyration is 1.5 meters?
a) 2.45 rad/s b) 2.83 rad/s c) 3.16 rad/s d) 3.46 rad/s
Answer: c) 3.16 rad/s
34. The short period mode of an aircraft has a damping ratio of 0.5 and a natural frequency of 4.5
rad/s. What is its time to half amplitude?
a) 0.205 s b) 0.257 s c) 0.308 s d) 0.359 s
Answer: c) 0.308 s
35. An aircraft's rudder effectiveness (Cnδr) is 0.1 per degree. How many degrees of rudder
deflection are needed to generate a yawing moment coefficient of 0.25?
a) 15° b) 20° c) 25° d) 30°
Answer: c) 25°
36. The phugoid mode of an aircraft has a damping ratio of 0.06 and a natural frequency of 0.15
rad/s. What is its time to half amplitude?
a) 51.3 s b) 77.0 s c) 102.6 s d) 128.3 s
Answer: b) 77.0 s
37. An aircraft has a roll-yaw coupling coefficient (Cnp) of -0.08 per radian. If the roll rate is 20 deg/s,
what is the resulting yawing moment coefficient?
a) -0.0140 b) -0.0175 c) -0.0210 d) -0.0245
Answer: a) -0.0140
38. The dutch roll mode of an aircraft has a frequency of 1.8 Hz and a damping ratio of 0.2. What is
its time to double amplitude?
a) 1.54 s b) 3.08 s c) 4.62 s d) 6.16 s
Answer: b) 3.08 s
39. An aircraft's elevator control power (Cmδe) is -1.8 per radian. What elevator deflection (in
degrees) is required to produce a pitching moment coefficient of -0.3?
a) 7.64° b) 8.59° c) 9.55° d) 10.50°
Answer: c) 9.55°
40. The spiral mode of an aircraft has a time constant of 30 seconds. What percentage of the initial
perturbation remains after 2 minutes?
a) 1.83% b) 3.35% c) 4.98% d) 6.74%
Answer: c) 4.98%
41. An aircraft has a lift-curve slope (CLα) of 6.0 per radian. What is the change in lift coefficient for a
4° decrease in angle of attack?
a) -0.314 b) -0.349 c) -0.384 d) -0.419
Answer: c) -0.384
42. The short period mode of an aircraft has a natural frequency of 5 rad/s and a damping ratio of
0.6. What is its damped frequency?
a) 3.0 rad/s b) 3.5 rad/s c) 4.0 rad/s d) 4.5 rad/s
Answer: c) 4.0 rad/s
43. An aircraft has a roll damping coefficient (Clp) of -0.6 per radian. What steady-state roll rate (in
deg/s) will be achieved with a constant rolling moment coefficient of 0.08?
a) 38.2°/s b) 45.8°/s c) 53.4°/s d) 61.0°/s
Answer: c) 53.4°/s
44. The phugoid mode of an aircraft has a period of 50 seconds and a damping ratio of 0.1. What is
its time to half amplitude?
a) 69.3 s b) 110.3 s c) 138.6 s d) 173.3 s
Answer: b) 110.3 s
The phugoid mode of an aircraft has a period of 40 seconds and a damping ratio of 0.08. What is its
time to double amplitude?
a) 69.3 s b) 138.6 s c) 207.9 s d) 277.2 s
Answer: b) 138.6 s
29. An aircraft's aileron effectiveness (Clδa) is 0.18 per degree. What aileron deflection (in degrees) is
required to maintain a steady roll rate of 45 deg/s if the roll damping coefficient (Clp) is -0.5 per
radian?
a) 5.73° b) 7.16° c) 8.59° d) 10.02°
Answer: c) 8.59°
30. The dutch roll mode of an aircraft has a natural frequency of 3 rad/s and a damping ratio of 0.3.
What is its time period?
a) 1.57 s b) 2.09 s c) 2.61 s d) 3.14 s
Answer: b) 2.09 s
31. An aircraft has a pitch stiffness coefficient (Cmα) of -1.2 per radian and a pitch damping
coefficient (Cmq) of -18 per radian. What is the undamped natural frequency of the short period
mode if the pitch radius of gyration is 1.2 meters?
a) 3.16 rad/s b) 4.08 rad/s c) 5.00 rad/s d) 5.92 rad/s
Answer: b) 4.08 rad/s
32. The roll subsidence mode of an aircraft has a time constant of 0.4 seconds. What percentage of
the initial roll rate remains after 1.2 seconds?
a) 4.98% b) 9.07% c) 13.53% d) 18.89%
Answer: a) 4.98%
33. An aircraft has a yaw stiffness coefficient (Cnβ) of 0.15 per degree and a yaw damping coefficient
(Cnr) of -0.3 per radian. What is the undamped natural frequency of the dutch roll mode if the yaw
radius of gyration is 1.5 meters?
a) 2.45 rad/s b) 2.83 rad/s c) 3.16 rad/s d) 3.46 rad/s
Answer: c) 3.16 rad/s
34. The short period mode of an aircraft has a damping ratio of 0.5 and a natural frequency of 4.5
rad/s. What is its time to half amplitude?
a) 0.205 s b) 0.257 s c) 0.308 s d) 0.359 s
Answer: c) 0.308 s
35. An aircraft's rudder effectiveness (Cnδr) is 0.1 per degree. How many degrees of rudder
deflection are needed to generate a yawing moment coefficient of 0.25?
a) 15° b) 20° c) 25° d) 30°
Answer: c) 25°
36. The phugoid mode of an aircraft has a damping ratio of 0.06 and a natural frequency of 0.15
rad/s. What is its time to half amplitude?
a) 51.3 s b) 77.0 s c) 102.6 s d) 128.3 s
Answer: b) 77.0 s
37. An aircraft has a roll-yaw coupling coefficient (Cnp) of -0.08 per radian. If the roll rate is 20 deg/s,
what is the resulting yawing moment coefficient?
a) -0.0140 b) -0.0175 c) -0.0210 d) -0.0245
Answer: a) -0.0140
38. The dutch roll mode of an aircraft has a frequency of 1.8 Hz and a damping ratio of 0.2. What is
its time to double amplitude?
a) 1.54 s b) 3.08 s c) 4.62 s d) 6.16 s
Answer: b) 3.08 s
39. An aircraft's elevator control power (Cmδe) is -1.8 per radian. What elevator deflection (in
degrees) is required to produce a pitching moment coefficient of -0.3?
a) 7.64° b) 8.59° c) 9.55° d) 10.50°
Answer: c) 9.55°
40. The spiral mode of an aircraft has a time constant of 30 seconds. What percentage of the initial
perturbation remains after 2 minutes?
a) 1.83% b) 3.35% c) 4.98% d) 6.74%
Answer: c) 4.98%
41. An aircraft has a lift-curve slope (CLα) of 6.0 per radian. What is the change in lift coefficient for a
4° decrease in angle of attack?
a) -0.314 b) -0.349 c) -0.384 d) -0.419
Answer: c) -0.384
42. The short period mode of an aircraft has a natural frequency of 5 rad/s and a damping ratio of
0.6. What is its damped frequency?
a) 3.0 rad/s b) 3.5 rad/s c) 4.0 rad/s d) 4.5 rad/s
Answer: c) 4.0 rad/s
43. An aircraft has a roll damping coefficient (Clp) of -0.6 per radian. What steady-state roll rate (in
deg/s) will be achieved with a constant rolling moment coefficient of 0.08?
a) 38.2°/s b) 45.8°/s c) 53.4°/s d) 61.0°/s
Answer: c) 53.4°/s
44. The phugoid mode of an aircraft has a period of 50 seconds and a damping ratio of 0.1. What is
its time to half amplitude?
a) 69.3 s b) 110.3 s c) 138.6 s d) 173.3 s
Answer: b) 110.3 s
The phugoid mode of an aircraft has a period of 40 seconds and a damping ratio of 0.08. What is its
time to double amplitude?
a) 69.3 s b) 138.6 s c) 207.9 s d) 277.2 s
Answer: b) 138.6 s
29. An aircraft's aileron effectiveness (Clδa) is 0.18 per degree. What aileron deflection (in degrees) is
required to maintain a steady roll rate of 45 deg/s if the roll damping coefficient (Clp) is -0.5 per
radian?
a) 5.73° b) 7.16° c) 8.59° d) 10.02°
Answer: c) 8.59°
30. The dutch roll mode of an aircraft has a natural frequency of 3 rad/s and a damping ratio of 0.3.
What is its time period?
a) 1.57 s b) 2.09 s c) 2.61 s d) 3.14 s
Answer: b) 2.09 s
31. An aircraft has a pitch stiffness coefficient (Cmα) of -1.2 per radian and a pitch damping
coefficient (Cmq) of -18 per radian. What is the undamped natural frequency of the short period
mode if the pitch radius of gyration is 1.2 meters?
a) 3.16 rad/s b) 4.08 rad/s c) 5.00 rad/s d) 5.92 rad/s
Answer: b) 4.08 rad/s
32. The roll subsidence mode of an aircraft has a time constant of 0.4 seconds. What percentage of
the initial roll rate remains after 1.2 seconds?
a) 4.98% b) 9.07% c) 13.53% d) 18.89%
Answer: a) 4.98%
33. An aircraft has a yaw stiffness coefficient (Cnβ) of 0.15 per degree and a yaw damping coefficient
(Cnr) of -0.3 per radian. What is the undamped natural frequency of the dutch roll mode if the yaw
radius of gyration is 1.5 meters?
a) 2.45 rad/s b) 2.83 rad/s c) 3.16 rad/s d) 3.46 rad/s
Answer: c) 3.16 rad/s
34. The short period mode of an aircraft has a damping ratio of 0.5 and a natural frequency of 4.5
rad/s. What is its time to half amplitude?
a) 0.205 s b) 0.257 s c) 0.308 s d) 0.359 s
Answer: c) 0.308 s
35. An aircraft's rudder effectiveness (Cnδr) is 0.1 per degree. How many degrees of rudder
deflection are needed to generate a yawing moment coefficient of 0.25?
a) 15° b) 20° c) 25° d) 30°
Answer: c) 25°
36. The phugoid mode of an aircraft has a damping ratio of 0.06 and a natural frequency of 0.15
rad/s. What is its time to half amplitude?
a) 51.3 s b) 77.0 s c) 102.6 s d) 128.3 s
Answer: b) 77.0 s
37. An aircraft has a roll-yaw coupling coefficient (Cnp) of -0.08 per radian. If the roll rate is 20 deg/s,
what is the resulting yawing moment coefficient?
a) -0.0140 b) -0.0175 c) -0.0210 d) -0.0245
Answer: a) -0.0140
38. The dutch roll mode of an aircraft has a frequency of 1.8 Hz and a damping ratio of 0.2. What is
its time to double amplitude?
a) 1.54 s b) 3.08 s c) 4.62 s d) 6.16 s
Answer: b) 3.08 s
39. An aircraft's elevator control power (Cmδe) is -1.8 per radian. What elevator deflection (in
degrees) is required to produce a pitching moment coefficient of -0.3?
a) 7.64° b) 8.59° c) 9.55° d) 10.50°
Answer: c) 9.55°
40. The spiral mode of an aircraft has a time constant of 30 seconds. What percentage of the initial
perturbation remains after 2 minutes?
a) 1.83% b) 3.35% c) 4.98% d) 6.74%
Answer: c) 4.98%
41. An aircraft has a lift-curve slope (CLα) of 6.0 per radian. What is the change in lift coefficient for a
4° decrease in angle of attack?
a) -0.314 b) -0.349 c) -0.384 d) -0.419
Answer: c) -0.384
42. The short period mode of an aircraft has a natural frequency of 5 rad/s and a damping ratio of
0.6. What is its damped frequency?
a) 3.0 rad/s b) 3.5 rad/s c) 4.0 rad/s d) 4.5 rad/s
Answer: c) 4.0 rad/s
43. An aircraft has a roll damping coefficient (Clp) of -0.6 per radian. What steady-state roll rate (in
deg/s) will be achieved with a constant rolling moment coefficient of 0.08?
a) 38.2°/s b) 45.8°/s c) 53.4°/s d) 61.0°/s
Answer: c) 53.4°/s
44. The phugoid mode of an aircraft has a period of 50 seconds and a damping ratio of 0.1. What is
its time to half amplitude?
a) 69.3 s b) 110.3 s c) 138.6 s d) 173.3 s
Answer: b) 110.3 s
The phugoid mode of an aircraft has a period of 40 seconds and a damping ratio of 0.08. What is its
time to double amplitude?
a) 69.3 s b) 138.6 s c) 207.9 s d) 277.2 s
Answer: b) 138.6 s
29. An aircraft's aileron effectiveness (Clδa) is 0.18 per degree. What aileron deflection (in degrees) is
required to maintain a steady roll rate of 45 deg/s if the roll damping coefficient (Clp) is -0.5 per
radian?
a) 5.73° b) 7.16° c) 8.59° d) 10.02°
Answer: c) 8.59°
30. The dutch roll mode of an aircraft has a natural frequency of 3 rad/s and a damping ratio of 0.3.
What is its time period?
a) 1.57 s b) 2.09 s c) 2.61 s d) 3.14 s
Answer: b) 2.09 s
31. An aircraft has a pitch stiffness coefficient (Cmα) of -1.2 per radian and a pitch damping
coefficient (Cmq) of -18 per radian. What is the undamped natural frequency of the short period
mode if the pitch radius of gyration is 1.2 meters?
a) 3.16 rad/s b) 4.08 rad/s c) 5.00 rad/s d) 5.92 rad/s
Answer: b) 4.08 rad/s
32. The roll subsidence mode of an aircraft has a time constant of 0.4 seconds. What percentage of
the initial roll rate remains after 1.2 seconds?
a) 4.98% b) 9.07% c) 13.53% d) 18.89%
Answer: a) 4.98%
33. An aircraft has a yaw stiffness coefficient (Cnβ) of 0.15 per degree and a yaw damping coefficient
(Cnr) of -0.3 per radian. What is the undamped natural frequency of the dutch roll mode if the yaw
radius of gyration is 1.5 meters?
a) 2.45 rad/s b) 2.83 rad/s c) 3.16 rad/s d) 3.46 rad/s
Answer: c) 3.16 rad/s
34. The short period mode of an aircraft has a damping ratio of 0.5 and a natural frequency of 4.5
rad/s. What is its time to half amplitude?
a) 0.205 s b) 0.257 s c) 0.308 s d) 0.359 s
Answer: c) 0.308 s
35. An aircraft's rudder effectiveness (Cnδr) is 0.1 per degree. How many degrees of rudder
deflection are needed to generate a yawing moment coefficient of 0.25?
a) 15° b) 20° c) 25° d) 30°
Answer: c) 25°
36. The phugoid mode of an aircraft has a damping ratio of 0.06 and a natural frequency of 0.15
rad/s. What is its time to half amplitude?
a) 51.3 s b) 77.0 s c) 102.6 s d) 128.3 s
Answer: b) 77.0 s
37. An aircraft has a roll-yaw coupling coefficient (Cnp) of -0.08 per radian. If the roll rate is 20 deg/s,
what is the resulting yawing moment coefficient?
a) -0.0140 b) -0.0175 c) -0.0210 d) -0.0245
Answer: a) -0.0140
38. The dutch roll mode of an aircraft has a frequency of 1.8 Hz and a damping ratio of 0.2. What is
its time to double amplitude?
a) 1.54 s b) 3.08 s c) 4.62 s d) 6.16 s
Answer: b) 3.08 s
39. An aircraft's elevator control power (Cmδe) is -1.8 per radian. What elevator deflection (in
degrees) is required to produce a pitching moment coefficient of -0.3?
a) 7.64° b) 8.59° c) 9.55° d) 10.50°
Answer: c) 9.55°
40. The spiral mode of an aircraft has a time constant of 30 seconds. What percentage of the initial
perturbation remains after 2 minutes?
a) 1.83% b) 3.35% c) 4.98% d) 6.74%
Answer: c) 4.98%
41. An aircraft has a lift-curve slope (CLα) of 6.0 per radian. What is the change in lift coefficient for a
4° decrease in angle of attack?
a) -0.314 b) -0.349 c) -0.384 d) -0.419
Answer: c) -0.384
42. The short period mode of an aircraft has a natural frequency of 5 rad/s and a damping ratio of
0.6. What is its damped frequency?
a) 3.0 rad/s b) 3.5 rad/s c) 4.0 rad/s d) 4.5 rad/s
Answer: c) 4.0 rad/s
43. An aircraft has a roll damping coefficient (Clp) of -0.6 per radian. What steady-state roll rate (in
deg/s) will be achieved with a constant rolling moment coefficient of 0.08?
a) 38.2°/s b) 45.8°/s c) 53.4°/s d) 61.0°/s
Answer: c) 53.4°/s
44. The phugoid mode of an aircraft has a period of 50 seconds and a damping ratio of 0.1. What is
its time to half amplitude?
a) 69.3 s b) 110.3 s c) 138.6 s d) 173.3 s
Answer: b) 110.3 s
The phugoid mode of an aircraft has a period of 40 seconds and a damping ratio of 0.08. What is its
time to double amplitude?
a) 69.3 s b) 138.6 s c) 207.9 s d) 277.2 s
Answer: b) 138.6 s
29. An aircraft's aileron effectiveness (Clδa) is 0.18 per degree. What aileron deflection (in degrees) is
required to maintain a steady roll rate of 45 deg/s if the roll damping coefficient (Clp) is -0.5 per
radian?
a) 5.73° b) 7.16° c) 8.59° d) 10.02°
Answer: c) 8.59°
30. The dutch roll mode of an aircraft has a natural frequency of 3 rad/s and a damping ratio of 0.3.
What is its time period?
a) 1.57 s b) 2.09 s c) 2.61 s d) 3.14 s
Answer: b) 2.09 s
31. An aircraft has a pitch stiffness coefficient (Cmα) of -1.2 per radian and a pitch damping
coefficient (Cmq) of -18 per radian. What is the undamped natural frequency of the short period
mode if the pitch radius of gyration is 1.2 meters?
a) 3.16 rad/s b) 4.08 rad/s c) 5.00 rad/s d) 5.92 rad/s
Answer: b) 4.08 rad/s
32. The roll subsidence mode of an aircraft has a time constant of 0.4 seconds. What percentage of
the initial roll rate remains after 1.2 seconds?
a) 4.98% b) 9.07% c) 13.53% d) 18.89%
Answer: a) 4.98%
33. An aircraft has a yaw stiffness coefficient (Cnβ) of 0.15 per degree and a yaw damping coefficient
(Cnr) of -0.3 per radian. What is the undamped natural frequency of the dutch roll mode if the yaw
radius of gyration is 1.5 meters?
a) 2.45 rad/s b) 2.83 rad/s c) 3.16 rad/s d) 3.46 rad/s
Answer: c) 3.16 rad/s
34. The short period mode of an aircraft has a damping ratio of 0.5 and a natural frequency of 4.5
rad/s. What is its time to half amplitude?
a) 0.205 s b) 0.257 s c) 0.308 s d) 0.359 s
Answer: c) 0.308 s
35. An aircraft's rudder effectiveness (Cnδr) is 0.1 per degree. How many degrees of rudder
deflection are needed to generate a yawing moment coefficient of 0.25?
a) 15° b) 20° c) 25° d) 30°
Answer: c) 25°
36. The phugoid mode of an aircraft has a damping ratio of 0.06 and a natural frequency of 0.15
rad/s. What is its time to half amplitude?
a) 51.3 s b) 77.0 s c) 102.6 s d) 128.3 s
Answer: b) 77.0 s
37. An aircraft has a roll-yaw coupling coefficient (Cnp) of -0.08 per radian. If the roll rate is 20 deg/s,
what is the resulting yawing moment coefficient?
a) -0.0140 b) -0.0175 c) -0.0210 d) -0.0245
Answer: a) -0.0140
38. The dutch roll mode of an aircraft has a frequency of 1.8 Hz and a damping ratio of 0.2. What is
its time to double amplitude?
a) 1.54 s b) 3.08 s c) 4.62 s d) 6.16 s
Answer: b) 3.08 s
39. An aircraft's elevator control power (Cmδe) is -1.8 per radian. What elevator deflection (in
degrees) is required to produce a pitching moment coefficient of -0.3?
a) 7.64° b) 8.59° c) 9.55° d) 10.50°
Answer: c) 9.55°
40. The spiral mode of an aircraft has a time constant of 30 seconds. What percentage of the initial
perturbation remains after 2 minutes?
a) 1.83% b) 3.35% c) 4.98% d) 6.74%
Answer: c) 4.98%
41. An aircraft has a lift-curve slope (CLα) of 6.0 per radian. What is the change in lift coefficient for a
4° decrease in angle of attack?
a) -0.314 b) -0.349 c) -0.384 d) -0.419
Answer: c) -0.384
42. The short period mode of an aircraft has a natural frequency of 5 rad/s and a damping ratio of
0.6. What is its damped frequency?
a) 3.0 rad/s b) 3.5 rad/s c) 4.0 rad/s d) 4.5 rad/s
Answer: c) 4.0 rad/s
43. An aircraft has a roll damping coefficient (Clp) of -0.6 per radian. What steady-state roll rate (in
deg/s) will be achieved with a constant rolling moment coefficient of 0.08?
a) 38.2°/s b) 45.8°/s c) 53.4°/s d) 61.0°/s
Answer: c) 53.4°/s
44. The phugoid mode of an aircraft has a period of 50 seconds and a damping ratio of 0.1. What is
its time to half amplitude?
a) 69.3 s b) 110.3 s c) 138.6 s d) 173.3 s
Answer: b) 110.3 s
The phugoid mode of an aircraft has a period of 40 seconds and a damping ratio of 0.08. What is its
time to double amplitude?
a) 69.3 s b) 138.6 s c) 207.9 s d) 277.2 s
Answer: b) 138.6 s
29. An aircraft's aileron effectiveness (Clδa) is 0.18 per degree. What aileron deflection (in degrees) is
required to maintain a steady roll rate of 45 deg/s if the roll damping coefficient (Clp) is -0.5 per
radian?
a) 5.73° b) 7.16° c) 8.59° d) 10.02°
Answer: c) 8.59°
30. The dutch roll mode of an aircraft has a natural frequency of 3 rad/s and a damping ratio of 0.3.
What is its time period?
a) 1.57 s b) 2.09 s c) 2.61 s d) 3.14 s
Answer: b) 2.09 s
31. An aircraft has a pitch stiffness coefficient (Cmα) of -1.2 per radian and a pitch damping
coefficient (Cmq) of -18 per radian. What is the undamped natural frequency of the short period
mode if the pitch radius of gyration is 1.2 meters?
a) 3.16 rad/s b) 4.08 rad/s c) 5.00 rad/s d) 5.92 rad/s
Answer: b) 4.08 rad/s
32. The roll subsidence mode of an aircraft has a time constant of 0.4 seconds. What percentage of
the initial roll rate remains after 1.2 seconds?
a) 4.98% b) 9.07% c) 13.53% d) 18.89%
Answer: a) 4.98%
33. An aircraft has a yaw stiffness coefficient (Cnβ) of 0.15 per degree and a yaw damping coefficient
(Cnr) of -0.3 per radian. What is the undamped natural frequency of the dutch roll mode if the yaw
radius of gyration is 1.5 meters?
a) 2.45 rad/s b) 2.83 rad/s c) 3.16 rad/s d) 3.46 rad/s
Answer: c) 3.16 rad/s
34. The short period mode of an aircraft has a damping ratio of 0.5 and a natural frequency of 4.5
rad/s. What is its time to half amplitude?
a) 0.205 s b) 0.257 s c) 0.308 s d) 0.359 s
Answer: c) 0.308 s
35. An aircraft's rudder effectiveness (Cnδr) is 0.1 per degree. How many degrees of rudder
deflection are needed to generate a yawing moment coefficient of 0.25?
a) 15° b) 20° c) 25° d) 30°
Answer: c) 25°
36. The phugoid mode of an aircraft has a damping ratio of 0.06 and a natural frequency of 0.15
rad/s. What is its time to half amplitude?
a) 51.3 s b) 77.0 s c) 102.6 s d) 128.3 s
Answer: b) 77.0 s
37. An aircraft has a roll-yaw coupling coefficient (Cnp) of -0.08 per radian. If the roll rate is 20 deg/s,
what is the resulting yawing moment coefficient?
a) -0.0140 b) -0.0175 c) -0.0210 d) -0.0245
Answer: a) -0.0140
38. The dutch roll mode of an aircraft has a frequency of 1.8 Hz and a damping ratio of 0.2. What is
its time to double amplitude?
a) 1.54 s b) 3.08 s c) 4.62 s d) 6.16 s
Answer: b) 3.08 s
39. An aircraft's elevator control power (Cmδe) is -1.8 per radian. What elevator deflection (in
degrees) is required to produce a pitching moment coefficient of -0.3?
a) 7.64° b) 8.59° c) 9.55° d) 10.50°
Answer: c) 9.55°
40. The spiral mode of an aircraft has a time constant of 30 seconds. What percentage of the initial
perturbation remains after 2 minutes?
a) 1.83% b) 3.35% c) 4.98% d) 6.74%
Answer: c) 4.98%
41. An aircraft has a lift-curve slope (CLα) of 6.0 per radian. What is the change in lift coefficient for a
4° decrease in angle of attack?
a) -0.314 b) -0.349 c) -0.384 d) -0.419
Answer: c) -0.384
42. The short period mode of an aircraft has a natural frequency of 5 rad/s and a damping ratio of
0.6. What is its damped frequency?
a) 3.0 rad/s b) 3.5 rad/s c) 4.0 rad/s d) 4.5 rad/s
Answer: c) 4.0 rad/s
43. An aircraft has a roll damping coefficient (Clp) of -0.6 per radian. What steady-state roll rate (in
deg/s) will be achieved with a constant rolling moment coefficient of 0.08?
a) 38.2°/s b) 45.8°/s c) 53.4°/s d) 61.0°/s
Answer: c) 53.4°/s
44. The phugoid mode of an aircraft has a period of 50 seconds and a damping ratio of 0.1. What is
its time to half amplitude?
a) 69.3 s b) 110.3 s c) 138.6 s d) 173.3 s
Answer: b) 110.3 s
The phugoid mode of an aircraft has a period of 40 seconds and a damping ratio of 0.08. What is its
time to double amplitude?
a) 69.3 s b) 138.6 s c) 207.9 s d) 277.2 s
Answer: b) 138.6 s
29. An aircraft's aileron effectiveness (Clδa) is 0.18 per degree. What aileron deflection (in degrees) is
required to maintain a steady roll rate of 45 deg/s if the roll damping coefficient (Clp) is -0.5 per
radian?
a) 5.73° b) 7.16° c) 8.59° d) 10.02°
Answer: c) 8.59°
30. The dutch roll mode of an aircraft has a natural frequency of 3 rad/s and a damping ratio of 0.3.
What is its time period?
a) 1.57 s b) 2.09 s c) 2.61 s d) 3.14 s
Answer: b) 2.09 s
31. An aircraft has a pitch stiffness coefficient (Cmα) of -1.2 per radian and a pitch damping
coefficient (Cmq) of -18 per radian. What is the undamped natural frequency of the short period
mode if the pitch radius of gyration is 1.2 meters?
a) 3.16 rad/s b) 4.08 rad/s c) 5.00 rad/s d) 5.92 rad/s
Answer: b) 4.08 rad/s
32. The roll subsidence mode of an aircraft has a time constant of 0.4 seconds. What percentage of
the initial roll rate remains after 1.2 seconds?
a) 4.98% b) 9.07% c) 13.53% d) 18.89%
Answer: a) 4.98%
33. An aircraft has a yaw stiffness coefficient (Cnβ) of 0.15 per degree and a yaw damping coefficient
(Cnr) of -0.3 per radian. What is the undamped natural frequency of the dutch roll mode if the yaw
radius of gyration is 1.5 meters?
a) 2.45 rad/s b) 2.83 rad/s c) 3.16 rad/s d) 3.46 rad/s
Answer: c) 3.16 rad/s
34. The short period mode of an aircraft has a damping ratio of 0.5 and a natural frequency of 4.5
rad/s. What is its time to half amplitude?
a) 0.205 s b) 0.257 s c) 0.308 s d) 0.359 s
Answer: c) 0.308 s
35. An aircraft's rudder effectiveness (Cnδr) is 0.1 per degree. How many degrees of rudder
deflection are needed to generate a yawing moment coefficient of 0.25?
a) 15° b) 20° c) 25° d) 30°
Answer: c) 25°
36. The phugoid mode of an aircraft has a damping ratio of 0.06 and a natural frequency of 0.15
rad/s. What is its time to half amplitude?
a) 51.3 s b) 77.0 s c) 102.6 s d) 128.3 s
Answer: b) 77.0 s
37. An aircraft has a roll-yaw coupling coefficient (Cnp) of -0.08 per radian. If the roll rate is 20 deg/s,
what is the resulting yawing moment coefficient?
a) -0.0140 b) -0.0175 c) -0.0210 d) -0.0245
Answer: a) -0.0140
38. The dutch roll mode of an aircraft has a frequency of 1.8 Hz and a damping ratio of 0.2. What is
its time to double amplitude?
a) 1.54 s b) 3.08 s c) 4.62 s d) 6.16 s
Answer: b) 3.08 s
39. An aircraft's elevator control power (Cmδe) is -1.8 per radian. What elevator deflection (in
degrees) is required to produce a pitching moment coefficient of -0.3?
a) 7.64° b) 8.59° c) 9.55° d) 10.50°
Answer: c) 9.55°
40. The spiral mode of an aircraft has a time constant of 30 seconds. What percentage of the initial
perturbation remains after 2 minutes?
a) 1.83% b) 3.35% c) 4.98% d) 6.74%
Answer: c) 4.98%
41. An aircraft has a lift-curve slope (CLα) of 6.0 per radian. What is the change in lift coefficient for a
4° decrease in angle of attack?
a) -0.314 b) -0.349 c) -0.384 d) -0.419
Answer: c) -0.384
42. The short period mode of an aircraft has a natural frequency of 5 rad/s and a damping ratio of
0.6. What is its damped frequency?
a) 3.0 rad/s b) 3.5 rad/s c) 4.0 rad/s d) 4.5 rad/s
Answer: c) 4.0 rad/s
43. An aircraft has a roll damping coefficient (Clp) of -0.6 per radian. What steady-state roll rate (in
deg/s) will be achieved with a constant rolling moment coefficient of 0.08?
a) 38.2°/s b) 45.8°/s c) 53.4°/s d) 61.0°/s
Answer: c) 53.4°/s
44. The phugoid mode of an aircraft has a period of 50 seconds and a damping ratio of 0.1. What is
its time to half amplitude?
a) 69.3 s b) 110.3 s c) 138.6 s d) 173.3 s
Answer: b) 110.3 s
The phugoid mode of an aircraft has a period of 40 seconds and a damping ratio of 0.08. What is its
time to double amplitude?
a) 69.3 s b) 138.6 s c) 207.9 s d) 277.2 s
Answer: b) 138.6 s
29. An aircraft's aileron effectiveness (Clδa) is 0.18 per degree. What aileron deflection (in degrees) is
required to maintain a steady roll rate of 45 deg/s if the roll damping coefficient (Clp) is -0.5 per
radian?
a) 5.73° b) 7.16° c) 8.59° d) 10.02°
Answer: c) 8.59°
30. The dutch roll mode of an aircraft has a natural frequency of 3 rad/s and a damping ratio of 0.3.
What is its time period?
a) 1.57 s b) 2.09 s c) 2.61 s d) 3.14 s
Answer: b) 2.09 s
31. An aircraft has a pitch stiffness coefficient (Cmα) of -1.2 per radian and a pitch damping
coefficient (Cmq) of -18 per radian. What is the undamped natural frequency of the short period
mode if the pitch radius of gyration is 1.2 meters?
a) 3.16 rad/s b) 4.08 rad/s c) 5.00 rad/s d) 5.92 rad/s
Answer: b) 4.08 rad/s
32. The roll subsidence mode of an aircraft has a time constant of 0.4 seconds. What percentage of
the initial roll rate remains after 1.2 seconds?
a) 4.98% b) 9.07% c) 13.53% d) 18.89%
Answer: a) 4.98%
33. An aircraft has a yaw stiffness coefficient (Cnβ) of 0.15 per degree and a yaw damping coefficient
(Cnr) of -0.3 per radian. What is the undamped natural frequency of the dutch roll mode if the yaw
radius of gyration is 1.5 meters?
a) 2.45 rad/s b) 2.83 rad/s c) 3.16 rad/s d) 3.46 rad/s
Answer: c) 3.16 rad/s
34. The short period mode of an aircraft has a damping ratio of 0.5 and a natural frequency of 4.5
rad/s. What is its time to half amplitude?
a) 0.205 s b) 0.257 s c) 0.308 s d) 0.359 s
Answer: c) 0.308 s
35. An aircraft's rudder effectiveness (Cnδr) is 0.1 per degree. How many degrees of rudder
deflection are needed to generate a yawing moment coefficient of 0.25?
a) 15° b) 20° c) 25° d) 30°
Answer: c) 25°
36. The phugoid mode of an aircraft has a damping ratio of 0.06 and a natural frequency of 0.15
rad/s. What is its time to half amplitude?
a) 51.3 s b) 77.0 s c) 102.6 s d) 128.3 s
Answer: b) 77.0 s
37. An aircraft has a roll-yaw coupling coefficient (Cnp) of -0.08 per radian. If the roll rate is 20 deg/s,
what is the resulting yawing moment coefficient?
a) -0.0140 b) -0.0175 c) -0.0210 d) -0.0245
Answer: a) -0.0140
38. The dutch roll mode of an aircraft has a frequency of 1.8 Hz and a damping ratio of 0.2. What is
its time to double amplitude?
a) 1.54 s b) 3.08 s c) 4.62 s d) 6.16 s
Answer: b) 3.08 s
39. An aircraft's elevator control power (Cmδe) is -1.8 per radian. What elevator deflection (in
degrees) is required to produce a pitching moment coefficient of -0.3?
a) 7.64° b) 8.59° c) 9.55° d) 10.50°
Answer: c) 9.55°
40. The spiral mode of an aircraft has a time constant of 30 seconds. What percentage of the initial
perturbation remains after 2 minutes?
a) 1.83% b) 3.35% c) 4.98% d) 6.74%
Answer: c) 4.98%
41. An aircraft has a lift-curve slope (CLα) of 6.0 per radian. What is the change in lift coefficient for a
4° decrease in angle of attack?
a) -0.314 b) -0.349 c) -0.384 d) -0.419
Answer: c) -0.384
42. The short period mode of an aircraft has a natural frequency of 5 rad/s and a damping ratio of
0.6. What is its damped frequency?
a) 3.0 rad/s b) 3.5 rad/s c) 4.0 rad/s d) 4.5 rad/s
Answer: c) 4.0 rad/s
43. An aircraft has a roll damping coefficient (Clp) of -0.6 per radian. What steady-state roll rate (in
deg/s) will be achieved with a constant rolling moment coefficient of 0.08?
a) 38.2°/s b) 45.8°/s c) 53.4°/s d) 61.0°/s
Answer: c) 53.4°/s
44. The phugoid mode of an aircraft has a period of 50 seconds and a damping ratio of 0.1. What is
its time to half amplitude?
a) 69.3 s b) 110.3 s c) 138.6 s d) 173.3 s
Answer: b) 110.3 s
The phugoid mode of an aircraft has a period of 40 seconds and a damping ratio of 0.08. What is its
time to double amplitude?
a) 69.3 s b) 138.6 s c) 207.9 s d) 277.2 s
Answer: b) 138.6 s
29. An aircraft's aileron effectiveness (Clδa) is 0.18 per degree. What aileron deflection (in degrees) is
required to maintain a steady roll rate of 45 deg/s if the roll damping coefficient (Clp) is -0.5 per
radian?
a) 5.73° b) 7.16° c) 8.59° d) 10.02°
Answer: c) 8.59°
30. The dutch roll mode of an aircraft has a natural frequency of 3 rad/s and a damping ratio of 0.3.
What is its time period?
a) 1.57 s b) 2.09 s c) 2.61 s d) 3.14 s
Answer: b) 2.09 s
31. An aircraft has a pitch stiffness coefficient (Cmα) of -1.2 per radian and a pitch damping
coefficient (Cmq) of -18 per radian. What is the undamped natural frequency of the short period
mode if the pitch radius of gyration is 1.2 meters?
a) 3.16 rad/s b) 4.08 rad/s c) 5.00 rad/s d) 5.92 rad/s
Answer: b) 4.08 rad/s
32. The roll subsidence mode of an aircraft has a time constant of 0.4 seconds. What percentage of
the initial roll rate remains after 1.2 seconds?
a) 4.98% b) 9.07% c) 13.53% d) 18.89%
Answer: a) 4.98%
33. An aircraft has a yaw stiffness coefficient (Cnβ) of 0.15 per degree and a yaw damping coefficient
(Cnr) of -0.3 per radian. What is the undamped natural frequency of the dutch roll mode if the yaw
radius of gyration is 1.5 meters?
a) 2.45 rad/s b) 2.83 rad/s c) 3.16 rad/s d) 3.46 rad/s
Answer: c) 3.16 rad/s
34. The short period mode of an aircraft has a damping ratio of 0.5 and a natural frequency of 4.5
rad/s. What is its time to half amplitude?
a) 0.205 s b) 0.257 s c) 0.308 s d) 0.359 s
Answer: c) 0.308 s
35. An aircraft's rudder effectiveness (Cnδr) is 0.1 per degree. How many degrees of rudder
deflection are needed to generate a yawing moment coefficient of 0.25?
a) 15° b) 20° c) 25° d) 30°
Answer: c) 25°
36. The phugoid mode of an aircraft has a damping ratio of 0.06 and a natural frequency of 0.15
rad/s. What is its time to half amplitude?
a) 51.3 s b) 77.0 s c) 102.6 s d) 128.3 s
Answer: b) 77.0 s
37. An aircraft has a roll-yaw coupling coefficient (Cnp) of -0.08 per radian. If the roll rate is 20 deg/s,
what is the resulting yawing moment coefficient?
a) -0.0140 b) -0.0175 c) -0.0210 d) -0.0245
Answer: a) -0.0140
38. The dutch roll mode of an aircraft has a frequency of 1.8 Hz and a damping ratio of 0.2. What is
its time to double amplitude?
a) 1.54 s b) 3.08 s c) 4.62 s d) 6.16 s
Answer: b) 3.08 s
39. An aircraft's elevator control power (Cmδe) is -1.8 per radian. What elevator deflection (in
degrees) is required to produce a pitching moment coefficient of -0.3?
a) 7.64° b) 8.59° c) 9.55° d) 10.50°
Answer: c) 9.55°
40. The spiral mode of an aircraft has a time constant of 30 seconds. What percentage of the initial
perturbation remains after 2 minutes?
a) 1.83% b) 3.35% c) 4.98% d) 6.74%
Answer: c) 4.98%
41. An aircraft has a lift-curve slope (CLα) of 6.0 per radian. What is the change in lift coefficient for a
4° decrease in angle of attack?
a) -0.314 b) -0.349 c) -0.384 d) -0.419
Answer: c) -0.384
42. The short period mode of an aircraft has a natural frequency of 5 rad/s and a damping ratio of
0.6. What is its damped frequency?
a) 3.0 rad/s b) 3.5 rad/s c) 4.0 rad/s d) 4.5 rad/s
Answer: c) 4.0 rad/s
43. An aircraft has a roll damping coefficient (Clp) of -0.6 per radian. What steady-state roll rate (in
deg/s) will be achieved with a constant rolling moment coefficient of 0.08?
a) 38.2°/s b) 45.8°/s c) 53.4°/s d) 61.0°/s
Answer: c) 53.4°/s
44. The phugoid mode of an aircraft has a period of 50 seconds and a damping ratio of 0.1. What is
its time to half amplitude?
a) 69.3 s b) 110.3 s c) 138.6 s d) 173.3 s
Answer: b) 110.3 s
The phugoid mode of an aircraft has a period of 40 seconds and a damping ratio of 0.08. What is its
time to double amplitude?
a) 69.3 s b) 138.6 s c) 207.9 s d) 277.2 s
Answer: b) 138.6 s
29. An aircraft's aileron effectiveness (Clδa) is 0.18 per degree. What aileron deflection (in degrees) is
required to maintain a steady roll rate of 45 deg/s if the roll damping coefficient (Clp) is -0.5 per
radian?
a) 5.73° b) 7.16° c) 8.59° d) 10.02°
Answer: c) 8.59°
30. The dutch roll mode of an aircraft has a natural frequency of 3 rad/s and a damping ratio of 0.3.
What is its time period?
a) 1.57 s b) 2.09 s c) 2.61 s d) 3.14 s
Answer: b) 2.09 s
31. An aircraft has a pitch stiffness coefficient (Cmα) of -1.2 per radian and a pitch damping
coefficient (Cmq) of -18 per radian. What is the undamped natural frequency of the short period
mode if the pitch radius of gyration is 1.2 meters?
a) 3.16 rad/s b) 4.08 rad/s c) 5.00 rad/s d) 5.92 rad/s
Answer: b) 4.08 rad/s
32. The roll subsidence mode of an aircraft has a time constant of 0.4 seconds. What percentage of
the initial roll rate remains after 1.2 seconds?
a) 4.98% b) 9.07% c) 13.53% d) 18.89%
Answer: a) 4.98%
33. An aircraft has a yaw stiffness coefficient (Cnβ) of 0.15 per degree and a yaw damping coefficient
(Cnr) of -0.3 per radian. What is the undamped natural frequency of the dutch roll mode if the yaw
radius of gyration is 1.5 meters?
a) 2.45 rad/s b) 2.83 rad/s c) 3.16 rad/s d) 3.46 rad/s
Answer: c) 3.16 rad/s
34. The short period mode of an aircraft has a damping ratio of 0.5 and a natural frequency of 4.5
rad/s. What is its time to half amplitude?
a) 0.205 s b) 0.257 s c) 0.308 s d) 0.359 s
Answer: c) 0.308 s
35. An aircraft's rudder effectiveness (Cnδr) is 0.1 per degree. How many degrees of rudder
deflection are needed to generate a yawing moment coefficient of 0.25?
a) 15° b) 20° c) 25° d) 30°
Answer: c) 25°
36. The phugoid mode of an aircraft has a damping ratio of 0.06 and a natural frequency of 0.15
rad/s. What is its time to half amplitude?
a) 51.3 s b) 77.0 s c) 102.6 s d) 128.3 s
Answer: b) 77.0 s
37. An aircraft has a roll-yaw coupling coefficient (Cnp) of -0.08 per radian. If the roll rate is 20 deg/s,
what is the resulting yawing moment coefficient?
a) -0.0140 b) -0.0175 c) -0.0210 d) -0.0245
Answer: a) -0.0140
38. The dutch roll mode of an aircraft has a frequency of 1.8 Hz and a damping ratio of 0.2. What is
its time to double amplitude?
a) 1.54 s b) 3.08 s c) 4.62 s d) 6.16 s
Answer: b) 3.08 s
39. An aircraft's elevator control power (Cmδe) is -1.8 per radian. What elevator deflection (in
degrees) is required to produce a pitching moment coefficient of -0.3?
a) 7.64° b) 8.59° c) 9.55° d) 10.50°
Answer: c) 9.55°
40. The spiral mode of an aircraft has a time constant of 30 seconds. What percentage of the initial
perturbation remains after 2 minutes?
a) 1.83% b) 3.35% c) 4.98% d) 6.74%
Answer: c) 4.98%
41. An aircraft has a lift-curve slope (CLα) of 6.0 per radian. What is the change in lift coefficient for a
4° decrease in angle of attack?
a) -0.314 b) -0.349 c) -0.384 d) -0.419
Answer: c) -0.384
42. The short period mode of an aircraft has a natural frequency of 5 rad/s and a damping ratio of
0.6. What is its damped frequency?
a) 3.0 rad/s b) 3.5 rad/s c) 4.0 rad/s d) 4.5 rad/s
Answer: c) 4.0 rad/s
43. An aircraft has a roll damping coefficient (Clp) of -0.6 per radian. What steady-state roll rate (in
deg/s) will be achieved with a constant rolling moment coefficient of 0.08?
a) 38.2°/s b) 45.8°/s c) 53.4°/s d) 61.0°/s
Answer: c) 53.4°/s
44. The phugoid mode of an aircraft has a period of 50 seconds and a damping ratio of 0.1. What is
its time to half amplitude?
a) 69.3 s b) 110.3 s c) 138.6 s d) 173.3 s
Answer: b) 110.3 s
The phugoid mode of an aircraft has a period of 40 seconds and a damping ratio of 0.08. What is its
time to double amplitude?
a) 69.3 s b) 138.6 s c) 207.9 s d) 277.2 s
Answer: b) 138.6 s
29. An aircraft's aileron effectiveness (Clδa) is 0.18 per degree. What aileron deflection (in degrees) is
required to maintain a steady roll rate of 45 deg/s if the roll damping coefficient (Clp) is -0.5 per
radian?
a) 5.73° b) 7.16° c) 8.59° d) 10.02°
Answer: c) 8.59°
30. The dutch roll mode of an aircraft has a natural frequency of 3 rad/s and a damping ratio of 0.3.
What is its time period?
a) 1.57 s b) 2.09 s c) 2.61 s d) 3.14 s
Answer: b) 2.09 s
31. An aircraft has a pitch stiffness coefficient (Cmα) of -1.2 per radian and a pitch damping
coefficient (Cmq) of -18 per radian. What is the undamped natural frequency of the short period
mode if the pitch radius of gyration is 1.2 meters?
a) 3.16 rad/s b) 4.08 rad/s c) 5.00 rad/s d) 5.92 rad/s
Answer: b) 4.08 rad/s
32. The roll subsidence mode of an aircraft has a time constant of 0.4 seconds. What percentage of
the initial roll rate remains after 1.2 seconds?
a) 4.98% b) 9.07% c) 13.53% d) 18.89%
Answer: a) 4.98%
33. An aircraft has a yaw stiffness coefficient (Cnβ) of 0.15 per degree and a yaw damping coefficient
(Cnr) of -0.3 per radian. What is the undamped natural frequency of the dutch roll mode if the yaw
radius of gyration is 1.5 meters?
a) 2.45 rad/s b) 2.83 rad/s c) 3.16 rad/s d) 3.46 rad/s
Answer: c) 3.16 rad/s
34. The short period mode of an aircraft has a damping ratio of 0.5 and a natural frequency of 4.5
rad/s. What is its time to half amplitude?
a) 0.205 s b) 0.257 s c) 0.308 s d) 0.359 s
Answer: c) 0.308 s
35. An aircraft's rudder effectiveness (Cnδr) is 0.1 per degree. How many degrees of rudder
deflection are needed to generate a yawing moment coefficient of 0.25?
a) 15° b) 20° c) 25° d) 30°
Answer: c) 25°
36. The phugoid mode of an aircraft has a damping ratio of 0.06 and a natural frequency of 0.15
rad/s. What is its time to half amplitude?
a) 51.3 s b) 77.0 s c) 102.6 s d) 128.3 s
Answer: b) 77.0 s
37. An aircraft has a roll-yaw coupling coefficient (Cnp) of -0.08 per radian. If the roll rate is 20 deg/s,
what is the resulting yawing moment coefficient?
a) -0.0140 b) -0.0175 c) -0.0210 d) -0.0245
Answer: a) -0.0140
38. The dutch roll mode of an aircraft has a frequency of 1.8 Hz and a damping ratio of 0.2. What is
its time to double amplitude?
a) 1.54 s b) 3.08 s c) 4.62 s d) 6.16 s
Answer: b) 3.08 s
39. An aircraft's elevator control power (Cmδe) is -1.8 per radian. What elevator deflection (in
degrees) is required to produce a pitching moment coefficient of -0.3?
a) 7.64° b) 8.59° c) 9.55° d) 10.50°
Answer: c) 9.55°
40. The spiral mode of an aircraft has a time constant of 30 seconds. What percentage of the initial
perturbation remains after 2 minutes?
a) 1.83% b) 3.35% c) 4.98% d) 6.74%
Answer: c) 4.98%
41. An aircraft has a lift-curve slope (CLα) of 6.0 per radian. What is the change in lift coefficient for a
4° decrease in angle of attack?
a) -0.314 b) -0.349 c) -0.384 d) -0.419
Answer: c) -0.384
42. The short period mode of an aircraft has a natural frequency of 5 rad/s and a damping ratio of
0.6. What is its damped frequency?
a) 3.0 rad/s b) 3.5 rad/s c) 4.0 rad/s d) 4.5 rad/s
Answer: c) 4.0 rad/s
43. An aircraft has a roll damping coefficient (Clp) of -0.6 per radian. What steady-state roll rate (in
deg/s) will be achieved with a constant rolling moment coefficient of 0.08?
a) 38.2°/s b) 45.8°/s c) 53.4°/s d) 61.0°/s
Answer: c) 53.4°/s
44. The phugoid mode of an aircraft has a period of 50 seconds and a damping ratio of 0.1. What is
its time to half amplitude?
a) 69.3 s b) 110.3 s c) 138.6 s d) 173.3 s
Answer: b) 110.3 s
The phugoid mode of an aircraft has a period of 40 seconds and a damping ratio of 0.08. What is its
time to double amplitude?
a) 69.3 s b) 138.6 s c) 207.9 s d) 277.2 s
Answer: b) 138.6 s
29. An aircraft's aileron effectiveness (Clδa) is 0.18 per degree. What aileron deflection (in degrees) is
required to maintain a steady roll rate of 45 deg/s if the roll damping coefficient (Clp) is -0.5 per
radian?
a) 5.73° b) 7.16° c) 8.59° d) 10.02°
Answer: c) 8.59°
30. The dutch roll mode of an aircraft has a natural frequency of 3 rad/s and a damping ratio of 0.3.
What is its time period?
a) 1.57 s b) 2.09 s c) 2.61 s d) 3.14 s
Answer: b) 2.09 s
31. An aircraft has a pitch stiffness coefficient (Cmα) of -1.2 per radian and a pitch damping
coefficient (Cmq) of -18 per radian. What is the undamped natural frequency of the short period
mode if the pitch radius of gyration is 1.2 meters?
a) 3.16 rad/s b) 4.08 rad/s c) 5.00 rad/s d) 5.92 rad/s
Answer: b) 4.08 rad/s
32. The roll subsidence mode of an aircraft has a time constant of 0.4 seconds. What percentage of
the initial roll rate remains after 1.2 seconds?
a) 4.98% b) 9.07% c) 13.53% d) 18.89%
Answer: a) 4.98%
33. An aircraft has a yaw stiffness coefficient (Cnβ) of 0.15 per degree and a yaw damping coefficient
(Cnr) of -0.3 per radian. What is the undamped natural frequency of the dutch roll mode if the yaw
radius of gyration is 1.5 meters?
a) 2.45 rad/s b) 2.83 rad/s c) 3.16 rad/s d) 3.46 rad/s
Answer: c) 3.16 rad/s
34. The short period mode of an aircraft has a damping ratio of 0.5 and a natural frequency of 4.5
rad/s. What is its time to half amplitude?
a) 0.205 s b) 0.257 s c) 0.308 s d) 0.359 s
Answer: c) 0.308 s
35. An aircraft's rudder effectiveness (Cnδr) is 0.1 per degree. How many degrees of rudder
deflection are needed to generate a yawing moment coefficient of 0.25?
a) 15° b) 20° c) 25° d) 30°
Answer: c) 25°
36. The phugoid mode of an aircraft has a damping ratio of 0.06 and a natural frequency of 0.15
rad/s. What is its time to half amplitude?
a) 51.3 s b) 77.0 s c) 102.6 s d) 128.3 s
Answer: b) 77.0 s
37. An aircraft has a roll-yaw coupling coefficient (Cnp) of -0.08 per radian. If the roll rate is 20 deg/s,
what is the resulting yawing moment coefficient?
a) -0.0140 b) -0.0175 c) -0.0210 d) -0.0245
Answer: a) -0.0140
38. The dutch roll mode of an aircraft has a frequency of 1.8 Hz and a damping ratio of 0.2. What is
its time to double amplitude?
a) 1.54 s b) 3.08 s c) 4.62 s d) 6.16 s
Answer: b) 3.08 s
39. An aircraft's elevator control power (Cmδe) is -1.8 per radian. What elevator deflection (in
degrees) is required to produce a pitching moment coefficient of -0.3?
a) 7.64° b) 8.59° c) 9.55° d) 10.50°
Answer: c) 9.55°
40. The spiral mode of an aircraft has a time constant of 30 seconds. What percentage of the initial
perturbation remains after 2 minutes?
a) 1.83% b) 3.35% c) 4.98% d) 6.74%
Answer: c) 4.98%
41. An aircraft has a lift-curve slope (CLα) of 6.0 per radian. What is the change in lift coefficient for a
4° decrease in angle of attack?
a) -0.314 b) -0.349 c) -0.384 d) -0.419
Answer: c) -0.384
42. The short period mode of an aircraft has a natural frequency of 5 rad/s and a damping ratio of
0.6. What is its damped frequency?
a) 3.0 rad/s b) 3.5 rad/s c) 4.0 rad/s d) 4.5 rad/s
Answer: c) 4.0 rad/s
43. An aircraft has a roll damping coefficient (Clp) of -0.6 per radian. What steady-state roll rate (in
deg/s) will be achieved with a constant rolling moment coefficient of 0.08?
a) 38.2°/s b) 45.8°/s c) 53.4°/s d) 61.0°/s
Answer: c) 53.4°/s
44. The phugoid mode of an aircraft has a period of 50 seconds and a damping ratio of 0.1. What is
its time to half amplitude?
a) 69.3 s b) 110.3 s c) 138.6 s d) 173.3 s
Answer: b) 110.3 s
The phugoid mode of an aircraft has a period of 40 seconds and a damping ratio of 0.08. What is its
time to double amplitude?
a) 69.3 s b) 138.6 s c) 207.9 s d) 277.2 s
Answer: b) 138.6 s
29. An aircraft's aileron effectiveness (Clδa) is 0.18 per degree. What aileron deflection (in degrees) is
required to maintain a steady roll rate of 45 deg/s if the roll damping coefficient (Clp) is -0.5 per
radian?
a) 5.73° b) 7.16° c) 8.59° d) 10.02°
Answer: c) 8.59°
30. The dutch roll mode of an aircraft has a natural frequency of 3 rad/s and a damping ratio of 0.3.
What is its time period?
a) 1.57 s b) 2.09 s c) 2.61 s d) 3.14 s
Answer: b) 2.09 s
31. An aircraft has a pitch stiffness coefficient (Cmα) of -1.2 per radian and a pitch damping
coefficient (Cmq) of -18 per radian. What is the undamped natural frequency of the short period
mode if the pitch radius of gyration is 1.2 meters?
a) 3.16 rad/s b) 4.08 rad/s c) 5.00 rad/s d) 5.92 rad/s
Answer: b) 4.08 rad/s
32. The roll subsidence mode of an aircraft has a time constant of 0.4 seconds. What percentage of
the initial roll rate remains after 1.2 seconds?
a) 4.98% b) 9.07% c) 13.53% d) 18.89%
Answer: a) 4.98%
33. An aircraft has a yaw stiffness coefficient (Cnβ) of 0.15 per degree and a yaw damping coefficient
(Cnr) of -0.3 per radian. What is the undamped natural frequency of the dutch roll mode if the yaw
radius of gyration is 1.5 meters?
a) 2.45 rad/s b) 2.83 rad/s c) 3.16 rad/s d) 3.46 rad/s
Answer: c) 3.16 rad/s
34. The short period mode of an aircraft has a damping ratio of 0.5 and a natural frequency of 4.5
rad/s. What is its time to half amplitude?
a) 0.205 s b) 0.257 s c) 0.308 s d) 0.359 s
Answer: c) 0.308 s
35. An aircraft's rudder effectiveness (Cnδr) is 0.1 per degree. How many degrees of rudder
deflection are needed to generate a yawing moment coefficient of 0.25?
a) 15° b) 20° c) 25° d) 30°
Answer: c) 25°
36. The phugoid mode of an aircraft has a damping ratio of 0.06 and a natural frequency of 0.15
rad/s. What is its time to half amplitude?
a) 51.3 s b) 77.0 s c) 102.6 s d) 128.3 s
Answer: b) 77.0 s
37. An aircraft has a roll-yaw coupling coefficient (Cnp) of -0.08 per radian. If the roll rate is 20 deg/s,
what is the resulting yawing moment coefficient?
a) -0.0140 b) -0.0175 c) -0.0210 d) -0.0245
Answer: a) -0.0140
38. The dutch roll mode of an aircraft has a frequency of 1.8 Hz and a damping ratio of 0.2. What is
its time to double amplitude?
a) 1.54 s b) 3.08 s c) 4.62 s d) 6.16 s
Answer: b) 3.08 s
39. An aircraft's elevator control power (Cmδe) is -1.8 per radian. What elevator deflection (in
degrees) is required to produce a pitching moment coefficient of -0.3?
a) 7.64° b) 8.59° c) 9.55° d) 10.50°
Answer: c) 9.55°
40. The spiral mode of an aircraft has a time constant of 30 seconds. What percentage of the initial
perturbation remains after 2 minutes?
a) 1.83% b) 3.35% c) 4.98% d) 6.74%
Answer: c) 4.98%
41. An aircraft has a lift-curve slope (CLα) of 6.0 per radian. What is the change in lift coefficient for a
4° decrease in angle of attack?
a) -0.314 b) -0.349 c) -0.384 d) -0.419
Answer: c) -0.384
42. The short period mode of an aircraft has a natural frequency of 5 rad/s and a damping ratio of
0.6. What is its damped frequency?
a) 3.0 rad/s b) 3.5 rad/s c) 4.0 rad/s d) 4.5 rad/s
Answer: c) 4.0 rad/s
43. An aircraft has a roll damping coefficient (Clp) of -0.6 per radian. What steady-state roll rate (in
deg/s) will be achieved with a constant rolling moment coefficient of 0.08?
a) 38.2°/s b) 45.8°/s c) 53.4°/s d) 61.0°/s
Answer: c) 53.4°/s
44. The phugoid mode of an aircraft has a period of 50 seconds and a damping ratio of 0.1. What is
its time to half amplitude?
a) 69.3 s b) 110.3 s c) 138.6 s d) 173.3 s
Answer: b) 110.3 s
The phugoid mode of an aircraft has a period of 40 seconds and a damping ratio of 0.08. What is its
time to double amplitude?
a) 69.3 s b) 138.6 s c) 207.9 s d) 277.2 s
Answer: b) 138.6 s
29. An aircraft's aileron effectiveness (Clδa) is 0.18 per degree. What aileron deflection (in degrees) is
required to maintain a steady roll rate of 45 deg/s if the roll damping coefficient (Clp) is -0.5 per
radian?
a) 5.73° b) 7.16° c) 8.59° d) 10.02°
Answer: c) 8.59°
30. The dutch roll mode of an aircraft has a natural frequency of 3 rad/s and a damping ratio of 0.3.
What is its time period?
a) 1.57 s b) 2.09 s c) 2.61 s d) 3.14 s
Answer: b) 2.09 s
31. An aircraft has a pitch stiffness coefficient (Cmα) of -1.2 per radian and a pitch damping
coefficient (Cmq) of -18 per radian. What is the undamped natural frequency of the short period
mode if the pitch radius of gyration is 1.2 meters?
a) 3.16 rad/s b) 4.08 rad/s c) 5.00 rad/s d) 5.92 rad/s
Answer: b) 4.08 rad/s
32. The roll subsidence mode of an aircraft has a time constant of 0.4 seconds. What percentage of
the initial roll rate remains after 1.2 seconds?
a) 4.98% b) 9.07% c) 13.53% d) 18.89%
Answer: a) 4.98%
33. An aircraft has a yaw stiffness coefficient (Cnβ) of 0.15 per degree and a yaw damping coefficient
(Cnr) of -0.3 per radian. What is the undamped natural frequency of the dutch roll mode if the yaw
radius of gyration is 1.5 meters?
a) 2.45 rad/s b) 2.83 rad/s c) 3.16 rad/s d) 3.46 rad/s
Answer: c) 3.16 rad/s
34. The short period mode of an aircraft has a damping ratio of 0.5 and a natural frequency of 4.5
rad/s. What is its time to half amplitude?
a) 0.205 s b) 0.257 s c) 0.308 s d) 0.359 s
Answer: c) 0.308 s
35. An aircraft's rudder effectiveness (Cnδr) is 0.1 per degree. How many degrees of rudder
deflection are needed to generate a yawing moment coefficient of 0.25?
a) 15° b) 20° c) 25° d) 30°
Answer: c) 25°
36. The phugoid mode of an aircraft has a damping ratio of 0.06 and a natural frequency of 0.15
rad/s. What is its time to half amplitude?
a) 51.3 s b) 77.0 s c) 102.6 s d) 128.3 s
Answer: b) 77.0 s
37. An aircraft has a roll-yaw coupling coefficient (Cnp) of -0.08 per radian. If the roll rate is 20 deg/s,
what is the resulting yawing moment coefficient?
a) -0.0140 b) -0.0175 c) -0.0210 d) -0.0245
Answer: a) -0.0140
38. The dutch roll mode of an aircraft has a frequency of 1.8 Hz and a damping ratio of 0.2. What is
its time to double amplitude?
a) 1.54 s b) 3.08 s c) 4.62 s d) 6.16 s
Answer: b) 3.08 s
39. An aircraft's elevator control power (Cmδe) is -1.8 per radian. What elevator deflection (in
degrees) is required to produce a pitching moment coefficient of -0.3?
a) 7.64° b) 8.59° c) 9.55° d) 10.50°
Answer: c) 9.55°
40. The spiral mode of an aircraft has a time constant of 30 seconds. What percentage of the initial
perturbation remains after 2 minutes?
a) 1.83% b) 3.35% c) 4.98% d) 6.74%
Answer: c) 4.98%
41. An aircraft has a lift-curve slope (CLα) of 6.0 per radian. What is the change in lift coefficient for a
4° decrease in angle of attack?
a) -0.314 b) -0.349 c) -0.384 d) -0.419
Answer: c) -0.384
42. The short period mode of an aircraft has a natural frequency of 5 rad/s and a damping ratio of
0.6. What is its damped frequency?
a) 3.0 rad/s b) 3.5 rad/s c) 4.0 rad/s d) 4.5 rad/s
Answer: c) 4.0 rad/s
43. An aircraft has a roll damping coefficient (Clp) of -0.6 per radian. What steady-state roll rate (in
deg/s) will be achieved with a constant rolling moment coefficient of 0.08?
a) 38.2°/s b) 45.8°/s c) 53.4°/s d) 61.0°/s
Answer: c) 53.4°/s
44. The phugoid mode of an aircraft has a period of 50 seconds and a damping ratio of 0.1. What is
its time to half amplitude?
a) 69.3 s b) 110.3 s c) 138.6 s d) 173.3 s
Answer: b) 110.3 s
The phugoid mode of an aircraft has a period of 40 seconds and a damping ratio of 0.08. What is its
time to double amplitude?
a) 69.3 s b) 138.6 s c) 207.9 s d) 277.2 s
Answer: b) 138.6 s
29. An aircraft's aileron effectiveness (Clδa) is 0.18 per degree. What aileron deflection (in degrees) is
required to maintain a steady roll rate of 45 deg/s if the roll damping coefficient (Clp) is -0.5 per
radian?
a) 5.73° b) 7.16° c) 8.59° d) 10.02°
Answer: c) 8.59°
30. The dutch roll mode of an aircraft has a natural frequency of 3 rad/s and a damping ratio of 0.3.
What is its time period?
a) 1.57 s b) 2.09 s c) 2.61 s d) 3.14 s
Answer: b) 2.09 s
31. An aircraft has a pitch stiffness coefficient (Cmα) of -1.2 per radian and a pitch damping
coefficient (Cmq) of -18 per radian. What is the undamped natural frequency of the short period
mode if the pitch radius of gyration is 1.2 meters?
a) 3.16 rad/s b) 4.08 rad/s c) 5.00 rad/s d) 5.92 rad/s
Answer: b) 4.08 rad/s
32. The roll subsidence mode of an aircraft has a time constant of 0.4 seconds. What percentage of
the initial roll rate remains after 1.2 seconds?
a) 4.98% b) 9.07% c) 13.53% d) 18.89%
Answer: a) 4.98%
33. An aircraft has a yaw stiffness coefficient (Cnβ) of 0.15 per degree and a yaw damping coefficient
(Cnr) of -0.3 per radian. What is the undamped natural frequency of the dutch roll mode if the yaw
radius of gyration is 1.5 meters?
a) 2.45 rad/s b) 2.83 rad/s c) 3.16 rad/s d) 3.46 rad/s
Answer: c) 3.16 rad/s
34. The short period mode of an aircraft has a damping ratio of 0.5 and a natural frequency of 4.5
rad/s. What is its time to half amplitude?
a) 0.205 s b) 0.257 s c) 0.308 s d) 0.359 s
Answer: c) 0.308 s
35. An aircraft's rudder effectiveness (Cnδr) is 0.1 per degree. How many degrees of rudder
deflection are needed to generate a yawing moment coefficient of 0.25?
a) 15° b) 20° c) 25° d) 30°
Answer: c) 25°
36. The phugoid mode of an aircraft has a damping ratio of 0.06 and a natural frequency of 0.15
rad/s. What is its time to half amplitude?
a) 51.3 s b) 77.0 s c) 102.6 s d) 128.3 s
Answer: b) 77.0 s
37. An aircraft has a roll-yaw coupling coefficient (Cnp) of -0.08 per radian. If the roll rate is 20 deg/s,
what is the resulting yawing moment coefficient?
a) -0.0140 b) -0.0175 c) -0.0210 d) -0.0245
Answer: a) -0.0140
38. The dutch roll mode of an aircraft has a frequency of 1.8 Hz and a damping ratio of 0.2. What is
its time to double amplitude?
a) 1.54 s b) 3.08 s c) 4.62 s d) 6.16 s
Answer: b) 3.08 s
39. An aircraft's elevator control power (Cmδe) is -1.8 per radian. What elevator deflection (in
degrees) is required to produce a pitching moment coefficient of -0.3?
a) 7.64° b) 8.59° c) 9.55° d) 10.50°
Answer: c) 9.55°
40. The spiral mode of an aircraft has a time constant of 30 seconds. What percentage of the initial
perturbation remains after 2 minutes?
a) 1.83% b) 3.35% c) 4.98% d) 6.74%
Answer: c) 4.98%
41. An aircraft has a lift-curve slope (CLα) of 6.0 per radian. What is the change in lift coefficient for a
4° decrease in angle of attack?
a) -0.314 b) -0.349 c) -0.384 d) -0.419
Answer: c) -0.384
42. The short period mode of an aircraft has a natural frequency of 5 rad/s and a damping ratio of
0.6. What is its damped frequency?
a) 3.0 rad/s b) 3.5 rad/s c) 4.0 rad/s d) 4.5 rad/s
Answer: c) 4.0 rad/s
43. An aircraft has a roll damping coefficient (Clp) of -0.6 per radian. What steady-state roll rate (in
deg/s) will be achieved with a constant rolling moment coefficient of 0.08?
a) 38.2°/s b) 45.8°/s c) 53.4°/s d) 61.0°/s
Answer: c) 53.4°/s
44. The phugoid mode of an aircraft has a period of 50 seconds and a damping ratio of 0.1. What is
its time to half amplitude?
a) 69.3 s b) 110.3 s c) 138.6 s d) 173.3 s
Answer: b) 110.3 s
The phugoid mode of an aircraft has a period of 40 seconds and a damping ratio of 0.08. What is its
time to double amplitude?
a) 69.3 s b) 138.6 s c) 207.9 s d) 277.2 s
Answer: b) 138.6 s
29. An aircraft's aileron effectiveness (Clδa) is 0.18 per degree. What aileron deflection (in degrees) is
required to maintain a steady roll rate of 45 deg/s if the roll damping coefficient (Clp) is -0.5 per
radian?
a) 5.73° b) 7.16° c) 8.59° d) 10.02°
Answer: c) 8.59°
30. The dutch roll mode of an aircraft has a natural frequency of 3 rad/s and a damping ratio of 0.3.
What is its time period?
a) 1.57 s b) 2.09 s c) 2.61 s d) 3.14 s
Answer: b) 2.09 s
31. An aircraft has a pitch stiffness coefficient (Cmα) of -1.2 per radian and a pitch damping
coefficient (Cmq) of -18 per radian. What is the undamped natural frequency of the short period
mode if the pitch radius of gyration is 1.2 meters?
a) 3.16 rad/s b) 4.08 rad/s c) 5.00 rad/s d) 5.92 rad/s
Answer: b) 4.08 rad/s
32. The roll subsidence mode of an aircraft has a time constant of 0.4 seconds. What percentage of
the initial roll rate remains after 1.2 seconds?
a) 4.98% b) 9.07% c) 13.53% d) 18.89%
Answer: a) 4.98%
33. An aircraft has a yaw stiffness coefficient (Cnβ) of 0.15 per degree and a yaw damping coefficient
(Cnr) of -0.3 per radian. What is the undamped natural frequency of the dutch roll mode if the yaw
radius of gyration is 1.5 meters?
a) 2.45 rad/s b) 2.83 rad/s c) 3.16 rad/s d) 3.46 rad/s
Answer: c) 3.16 rad/s
34. The short period mode of an aircraft has a damping ratio of 0.5 and a natural frequency of 4.5
rad/s. What is its time to half amplitude?
a) 0.205 s b) 0.257 s c) 0.308 s d) 0.359 s
Answer: c) 0.308 s
35. An aircraft's rudder effectiveness (Cnδr) is 0.1 per degree. How many degrees of rudder
deflection are needed to generate a yawing moment coefficient of 0.25?
a) 15° b) 20° c) 25° d) 30°
Answer: c) 25°
36. The phugoid mode of an aircraft has a damping ratio of 0.06 and a natural frequency of 0.15
rad/s. What is its time to half amplitude?
a) 51.3 s b) 77.0 s c) 102.6 s d) 128.3 s
Answer: b) 77.0 s
37. An aircraft has a roll-yaw coupling coefficient (Cnp) of -0.08 per radian. If the roll rate is 20 deg/s,
what is the resulting yawing moment coefficient?
a) -0.0140 b) -0.0175 c) -0.0210 d) -0.0245
Answer: a) -0.0140
38. The dutch roll mode of an aircraft has a frequency of 1.8 Hz and a damping ratio of 0.2. What is
its time to double amplitude?
a) 1.54 s b) 3.08 s c) 4.62 s d) 6.16 s
Answer: b) 3.08 s
39. An aircraft's elevator control power (Cmδe) is -1.8 per radian. What elevator deflection (in
degrees) is required to produce a pitching moment coefficient of -0.3?
a) 7.64° b) 8.59° c) 9.55° d) 10.50°
Answer: c) 9.55°
40. The spiral mode of an aircraft has a time constant of 30 seconds. What percentage of the initial
perturbation remains after 2 minutes?
a) 1.83% b) 3.35% c) 4.98% d) 6.74%
Answer: c) 4.98%
41. An aircraft has a lift-curve slope (CLα) of 6.0 per radian. What is the change in lift coefficient for a
4° decrease in angle of attack?
a) -0.314 b) -0.349 c) -0.384 d) -0.419
Answer: c) -0.384
42. The short period mode of an aircraft has a natural frequency of 5 rad/s and a damping ratio of
0.6. What is its damped frequency?
a) 3.0 rad/s b) 3.5 rad/s c) 4.0 rad/s d) 4.5 rad/s
Answer: c) 4.0 rad/s
43. An aircraft has a roll damping coefficient (Clp) of -0.6 per radian. What steady-state roll rate (in
deg/s) will be achieved with a constant rolling moment coefficient of 0.08?
a) 38.2°/s b) 45.8°/s c) 53.4°/s d) 61.0°/s
Answer: c) 53.4°/s
44. The phugoid mode of an aircraft has a period of 50 seconds and a damping ratio of 0.1. What is
its time to half amplitude?
a) 69.3 s b) 110.3 s c) 138.6 s d) 173.3 s
Answer: b) 110.3 s
The phugoid mode of an aircraft has a period of 40 seconds and a damping ratio of 0.08. What is its
time to double amplitude?
a) 69.3 s b) 138.6 s c) 207.9 s d) 277.2 s
Answer: b) 138.6 s
29. An aircraft's aileron effectiveness (Clδa) is 0.18 per degree. What aileron deflection (in degrees) is
required to maintain a steady roll rate of 45 deg/s if the roll damping coefficient (Clp) is -0.5 per
radian?
a) 5.73° b) 7.16° c) 8.59° d) 10.02°
Answer: c) 8.59°
30. The dutch roll mode of an aircraft has a natural frequency of 3 rad/s and a damping ratio of 0.3.
What is its time period?
a) 1.57 s b) 2.09 s c) 2.61 s d) 3.14 s
Answer: b) 2.09 s
31. An aircraft has a pitch stiffness coefficient (Cmα) of -1.2 per radian and a pitch damping
coefficient (Cmq) of -18 per radian. What is the undamped natural frequency of the short period
mode if the pitch radius of gyration is 1.2 meters?
a) 3.16 rad/s b) 4.08 rad/s c) 5.00 rad/s d) 5.92 rad/s
Answer: b) 4.08 rad/s
32. The roll subsidence mode of an aircraft has a time constant of 0.4 seconds. What percentage of
the initial roll rate remains after 1.2 seconds?
a) 4.98% b) 9.07% c) 13.53% d) 18.89%
Answer: a) 4.98%
33. An aircraft has a yaw stiffness coefficient (Cnβ) of 0.15 per degree and a yaw damping coefficient
(Cnr) of -0.3 per radian. What is the undamped natural frequency of the dutch roll mode if the yaw
radius of gyration is 1.5 meters?
a) 2.45 rad/s b) 2.83 rad/s c) 3.16 rad/s d) 3.46 rad/s
Answer: c) 3.16 rad/s
34. The short period mode of an aircraft has a damping ratio of 0.5 and a natural frequency of 4.5
rad/s. What is its time to half amplitude?
a) 0.205 s b) 0.257 s c) 0.308 s d) 0.359 s
Answer: c) 0.308 s
35. An aircraft's rudder effectiveness (Cnδr) is 0.1 per degree. How many degrees of rudder
deflection are needed to generate a yawing moment coefficient of 0.25?
a) 15° b) 20° c) 25° d) 30°
Answer: c) 25°
36. The phugoid mode of an aircraft has a damping ratio of 0.06 and a natural frequency of 0.15
rad/s. What is its time to half amplitude?
a) 51.3 s b) 77.0 s c) 102.6 s d) 128.3 s
Answer: b) 77.0 s
37. An aircraft has a roll-yaw coupling coefficient (Cnp) of -0.08 per radian. If the roll rate is 20 deg/s,
what is the resulting yawing moment coefficient?
a) -0.0140 b) -0.0175 c) -0.0210 d) -0.0245
Answer: a) -0.0140
38. The dutch roll mode of an aircraft has a frequency of 1.8 Hz and a damping ratio of 0.2. What is
its time to double amplitude?
a) 1.54 s b) 3.08 s c) 4.62 s d) 6.16 s
Answer: b) 3.08 s
39. An aircraft's elevator control power (Cmδe) is -1.8 per radian. What elevator deflection (in
degrees) is required to produce a pitching moment coefficient of -0.3?
a) 7.64° b) 8.59° c) 9.55° d) 10.50°
Answer: c) 9.55°
40. The spiral mode of an aircraft has a time constant of 30 seconds. What percentage of the initial
perturbation remains after 2 minutes?
a) 1.83% b) 3.35% c) 4.98% d) 6.74%
Answer: c) 4.98%
41. An aircraft has a lift-curve slope (CLα) of 6.0 per radian. What is the change in lift coefficient for a
4° decrease in angle of attack?
a) -0.314 b) -0.349 c) -0.384 d) -0.419
Answer: c) -0.384
42. The short period mode of an aircraft has a natural frequency of 5 rad/s and a damping ratio of
0.6. What is its damped frequency?
a) 3.0 rad/s b) 3.5 rad/s c) 4.0 rad/s d) 4.5 rad/s
Answer: c) 4.0 rad/s
43. An aircraft has a roll damping coefficient (Clp) of -0.6 per radian. What steady-state roll rate (in
deg/s) will be achieved with a constant rolling moment coefficient of 0.08?
a) 38.2°/s b) 45.8°/s c) 53.4°/s d) 61.0°/s
Answer: c) 53.4°/s
44. The phugoid mode of an aircraft has a period of 50 seconds and a damping ratio of 0.1. What is
its time to half amplitude?
a) 69.3 s b) 110.3 s c) 138.6 s d) 173.3 s
Answer: b) 110.3 s
The phugoid mode of an aircraft has a period of 40 seconds and a damping ratio of 0.08. What is its
time to double amplitude?
a) 69.3 s b) 138.6 s c) 207.9 s d) 277.2 s
Answer: b) 138.6 s
29. An aircraft's aileron effectiveness (Clδa) is 0.18 per degree. What aileron deflection (in degrees) is
required to maintain a steady roll rate of 45 deg/s if the roll damping coefficient (Clp) is -0.5 per
radian?
a) 5.73° b) 7.16° c) 8.59° d) 10.02°
Answer: c) 8.59°
30. The dutch roll mode of an aircraft has a natural frequency of 3 rad/s and a damping ratio of 0.3.
What is its time period?
a) 1.57 s b) 2.09 s c) 2.61 s d) 3.14 s
Answer: b) 2.09 s
31. An aircraft has a pitch stiffness coefficient (Cmα) of -1.2 per radian and a pitch damping
coefficient (Cmq) of -18 per radian. What is the undamped natural frequency of the short period
mode if the pitch radius of gyration is 1.2 meters?
a) 3.16 rad/s b) 4.08 rad/s c) 5.00 rad/s d) 5.92 rad/s
Answer: b) 4.08 rad/s
32. The roll subsidence mode of an aircraft has a time constant of 0.4 seconds. What percentage of
the initial roll rate remains after 1.2 seconds?
a) 4.98% b) 9.07% c) 13.53% d) 18.89%
Answer: a) 4.98%
33. An aircraft has a yaw stiffness coefficient (Cnβ) of 0.15 per degree and a yaw damping coefficient
(Cnr) of -0.3 per radian. What is the undamped natural frequency of the dutch roll mode if the yaw
radius of gyration is 1.5 meters?
a) 2.45 rad/s b) 2.83 rad/s c) 3.16 rad/s d) 3.46 rad/s
Answer: c) 3.16 rad/s
34. The short period mode of an aircraft has a damping ratio of 0.5 and a natural frequency of 4.5
rad/s. What is its time to half amplitude?
a) 0.205 s b) 0.257 s c) 0.308 s d) 0.359 s
Answer: c) 0.308 s
35. An aircraft's rudder effectiveness (Cnδr) is 0.1 per degree. How many degrees of rudder
deflection are needed to generate a yawing moment coefficient of 0.25?
a) 15° b) 20° c) 25° d) 30°
Answer: c) 25°
36. The phugoid mode of an aircraft has a damping ratio of 0.06 and a natural frequency of 0.15
rad/s. What is its time to half amplitude?
a) 51.3 s b) 77.0 s c) 102.6 s d) 128.3 s
Answer: b) 77.0 s
37. An aircraft has a roll-yaw coupling coefficient (Cnp) of -0.08 per radian. If the roll rate is 20 deg/s,
what is the resulting yawing moment coefficient?
a) -0.0140 b) -0.0175 c) -0.0210 d) -0.0245
Answer: a) -0.0140
38. The dutch roll mode of an aircraft has a frequency of 1.8 Hz and a damping ratio of 0.2. What is
its time to double amplitude?
a) 1.54 s b) 3.08 s c) 4.62 s d) 6.16 s
Answer: b) 3.08 s
39. An aircraft's elevator control power (Cmδe) is -1.8 per radian. What elevator deflection (in
degrees) is required to produce a pitching moment coefficient of -0.3?
a) 7.64° b) 8.59° c) 9.55° d) 10.50°
Answer: c) 9.55°
40. The spiral mode of an aircraft has a time constant of 30 seconds. What percentage of the initial
perturbation remains after 2 minutes?
a) 1.83% b) 3.35% c) 4.98% d) 6.74%
Answer: c) 4.98%
41. An aircraft has a lift-curve slope (CLα) of 6.0 per radian. What is the change in lift coefficient for a
4° decrease in angle of attack?
a) -0.314 b) -0.349 c) -0.384 d) -0.419
Answer: c) -0.384
42. The short period mode of an aircraft has a natural frequency of 5 rad/s and a damping ratio of
0.6. What is its damped frequency?
a) 3.0 rad/s b) 3.5 rad/s c) 4.0 rad/s d) 4.5 rad/s
Answer: c) 4.0 rad/s
43. An aircraft has a roll damping coefficient (Clp) of -0.6 per radian. What steady-state roll rate (in
deg/s) will be achieved with a constant rolling moment coefficient of 0.08?
a) 38.2°/s b) 45.8°/s c) 53.4°/s d) 61.0°/s
Answer: c) 53.4°/s
44. The phugoid mode of an aircraft has a period of 50 seconds and a damping ratio of 0.1. What is
its time to half amplitude?
a) 69.3 s b) 110.3 s c) 138.6 s d) 173.3 s
Answer: b) 110.3 s
The phugoid mode of an aircraft has a period of 40 seconds and a damping ratio of 0.08. What is its
time to double amplitude?
a) 69.3 s b) 138.6 s c) 207.9 s d) 277.2 s
Answer: b) 138.6 s
29. An aircraft's aileron effectiveness (Clδa) is 0.18 per degree. What aileron deflection (in degrees) is
required to maintain a steady roll rate of 45 deg/s if the roll damping coefficient (Clp) is -0.5 per
radian?
a) 5.73° b) 7.16° c) 8.59° d) 10.02°
Answer: c) 8.59°
30. The dutch roll mode of an aircraft has a natural frequency of 3 rad/s and a damping ratio of 0.3.
What is its time period?
a) 1.57 s b) 2.09 s c) 2.61 s d) 3.14 s
Answer: b) 2.09 s
31. An aircraft has a pitch stiffness coefficient (Cmα) of -1.2 per radian and a pitch damping
coefficient (Cmq) of -18 per radian. What is the undamped natural frequency of the short period
mode if the pitch radius of gyration is 1.2 meters?
a) 3.16 rad/s b) 4.08 rad/s c) 5.00 rad/s d) 5.92 rad/s
Answer: b) 4.08 rad/s
32. The roll subsidence mode of an aircraft has a time constant of 0.4 seconds. What percentage of
the initial roll rate remains after 1.2 seconds?
a) 4.98% b) 9.07% c) 13.53% d) 18.89%
Answer: a) 4.98%
33. An aircraft has a yaw stiffness coefficient (Cnβ) of 0.15 per degree and a yaw damping coefficient
(Cnr) of -0.3 per radian. What is the undamped natural frequency of the dutch roll mode if the yaw
radius of gyration is 1.5 meters?
a) 2.45 rad/s b) 2.83 rad/s c) 3.16 rad/s d) 3.46 rad/s
Answer: c) 3.16 rad/s
34. The short period mode of an aircraft has a damping ratio of 0.5 and a natural frequency of 4.5
rad/s. What is its time to half amplitude?
a) 0.205 s b) 0.257 s c) 0.308 s d) 0.359 s
Answer: c) 0.308 s
35. An aircraft's rudder effectiveness (Cnδr) is 0.1 per degree. How many degrees of rudder
deflection are needed to generate a yawing moment coefficient of 0.25?
a) 15° b) 20° c) 25° d) 30°
Answer: c) 25°
36. The phugoid mode of an aircraft has a damping ratio of 0.06 and a natural frequency of 0.15
rad/s. What is its time to half amplitude?
a) 51.3 s b) 77.0 s c) 102.6 s d) 128.3 s
Answer: b) 77.0 s
37. An aircraft has a roll-yaw coupling coefficient (Cnp) of -0.08 per radian. If the roll rate is 20 deg/s,
what is the resulting yawing moment coefficient?
a) -0.0140 b) -0.0175 c) -0.0210 d) -0.0245
Answer: a) -0.0140
38. The dutch roll mode of an aircraft has a frequency of 1.8 Hz and a damping ratio of 0.2. What is
its time to double amplitude?
a) 1.54 s b) 3.08 s c) 4.62 s d) 6.16 s
Answer: b) 3.08 s
39. An aircraft's elevator control power (Cmδe) is -1.8 per radian. What elevator deflection (in
degrees) is required to produce a pitching moment coefficient of -0.3?
a) 7.64° b) 8.59° c) 9.55° d) 10.50°
Answer: c) 9.55°
40. The spiral mode of an aircraft has a time constant of 30 seconds. What percentage of the initial
perturbation remains after 2 minutes?
a) 1.83% b) 3.35% c) 4.98% d) 6.74%
Answer: c) 4.98%
41. An aircraft has a lift-curve slope (CLα) of 6.0 per radian. What is the change in lift coefficient for a
4° decrease in angle of attack?
a) -0.314 b) -0.349 c) -0.384 d) -0.419
Answer: c) -0.384
42. The short period mode of an aircraft has a natural frequency of 5 rad/s and a damping ratio of
0.6. What is its damped frequency?
a) 3.0 rad/s b) 3.5 rad/s c) 4.0 rad/s d) 4.5 rad/s
Answer: c) 4.0 rad/s
43. An aircraft has a roll damping coefficient (Clp) of -0.6 per radian. What steady-state roll rate (in
deg/s) will be achieved with a constant rolling moment coefficient of 0.08?
a) 38.2°/s b) 45.8°/s c) 53.4°/s d) 61.0°/s
Answer: c) 53.4°/s
44. The phugoid mode of an aircraft has a period of 50 seconds and a damping ratio of 0.1. What is
its time to half amplitude?
a) 69.3 s b) 110.3 s c) 138.6 s d) 173.3 s
Answer: b) 110.3 s
The phugoid mode of an aircraft has a period of 40 seconds and a damping ratio of 0.08. What is its
time to double amplitude?
a) 69.3 s b) 138.6 s c) 207.9 s d) 277.2 s
Answer: b) 138.6 s
29. An aircraft's aileron effectiveness (Clδa) is 0.18 per degree. What aileron deflection (in degrees) is
required to maintain a steady roll rate of 45 deg/s if the roll damping coefficient (Clp) is -0.5 per
radian?
a) 5.73° b) 7.16° c) 8.59° d) 10.02°
Answer: c) 8.59°
30. The dutch roll mode of an aircraft has a natural frequency of 3 rad/s and a damping ratio of 0.3.
What is its time period?
a) 1.57 s b) 2.09 s c) 2.61 s d) 3.14 s
Answer: b) 2.09 s
31. An aircraft has a pitch stiffness coefficient (Cmα) of -1.2 per radian and a pitch damping
coefficient (Cmq) of -18 per radian. What is the undamped natural frequency of the short period
mode if the pitch radius of gyration is 1.2 meters?
a) 3.16 rad/s b) 4.08 rad/s c) 5.00 rad/s d) 5.92 rad/s
Answer: b) 4.08 rad/s
32. The roll subsidence mode of an aircraft has a time constant of 0.4 seconds. What percentage of
the initial roll rate remains after 1.2 seconds?
a) 4.98% b) 9.07% c) 13.53% d) 18.89%
Answer: a) 4.98%
33. An aircraft has a yaw stiffness coefficient (Cnβ) of 0.15 per degree and a yaw damping coefficient
(Cnr) of -0.3 per radian. What is the undamped natural frequency of the dutch roll mode if the yaw
radius of gyration is 1.5 meters?
a) 2.45 rad/s b) 2.83 rad/s c) 3.16 rad/s d) 3.46 rad/s
Answer: c) 3.16 rad/s
34. The short period mode of an aircraft has a damping ratio of 0.5 and a natural frequency of 4.5
rad/s. What is its time to half amplitude?
a) 0.205 s b) 0.257 s c) 0.308 s d) 0.359 s
Answer: c) 0.308 s
35. An aircraft's rudder effectiveness (Cnδr) is 0.1 per degree. How many degrees of rudder
deflection are needed to generate a yawing moment coefficient of 0.25?
a) 15° b) 20° c) 25° d) 30°
Answer: c) 25°
36. The phugoid mode of an aircraft has a damping ratio of 0.06 and a natural frequency of 0.15
rad/s. What is its time to half amplitude?
a) 51.3 s b) 77.0 s c) 102.6 s d) 128.3 s
Answer: b) 77.0 s
37. An aircraft has a roll-yaw coupling coefficient (Cnp) of -0.08 per radian. If the roll rate is 20 deg/s,
what is the resulting yawing moment coefficient?
a) -0.0140 b) -0.0175 c) -0.0210 d) -0.0245
Answer: a) -0.0140
38. The dutch roll mode of an aircraft has a frequency of 1.8 Hz and a damping ratio of 0.2. What is
its time to double amplitude?
a) 1.54 s b) 3.08 s c) 4.62 s d) 6.16 s
Answer: b) 3.08 s
39. An aircraft's elevator control power (Cmδe) is -1.8 per radian. What elevator deflection (in
degrees) is required to produce a pitching moment coefficient of -0.3?
a) 7.64° b) 8.59° c) 9.55° d) 10.50°
Answer: c) 9.55°
40. The spiral mode of an aircraft has a time constant of 30 seconds. What percentage of the initial
perturbation remains after 2 minutes?
a) 1.83% b) 3.35% c) 4.98% d) 6.74%
Answer: c) 4.98%
41. An aircraft has a lift-curve slope (CLα) of 6.0 per radian. What is the change in lift coefficient for a
4° decrease in angle of attack?
a) -0.314 b) -0.349 c) -0.384 d) -0.419
Answer: c) -0.384
42. The short period mode of an aircraft has a natural frequency of 5 rad/s and a damping ratio of
0.6. What is its damped frequency?
a) 3.0 rad/s b) 3.5 rad/s c) 4.0 rad/s d) 4.5 rad/s
Answer: c) 4.0 rad/s
43. An aircraft has a roll damping coefficient (Clp) of -0.6 per radian. What steady-state roll rate (in
deg/s) will be achieved with a constant rolling moment coefficient of 0.08?
a) 38.2°/s b) 45.8°/s c) 53.4°/s d) 61.0°/s
Answer: c) 53.4°/s
44. The phugoid mode of an aircraft has a period of 50 seconds and a damping ratio of 0.1. What is
its time to half amplitude?
a) 69.3 s b) 110.3 s c) 138.6 s d) 173.3 s
Answer: b) 110.3 s
45. An aircraft's aileron effectiveness (Clδa) is 0.2 per degree. What aileron deflection (in degrees) is
required to maintain a steady roll rate of 60 deg/s if the roll damping coefficient (Clp) is -0.7 per
radian?
a)
