Engineering - Electronic Engineering Review Assignment Hydraulic Motors and Circuits

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W2StudyGuide1.docx

MET230: Hydraulics and Pneumatics

Unit 2 Study Guide 1

Question 1

Which of the following statements is true about limited rotation hydraulic motors?

A. They are also called oscillating motors

B. They can rotate in both clockwise and counter clockwise direction

C. They are classified as rotary actuators

D. They rotate through less than one complete cycle

E. All of the above

Answer E. “All of the above”

Question 2

Which of the following statements list the main advantage (s) of gear motors?

A. Long expected life in all weather conditions

B. Highest overall efficiencies

C. Light weight

D. High power and torque at high speed

E. Low cost and from simple design

Answer E. “Low cost and from simple design”

Question 3

A. Volumetric efficiency is the theoretical flow rate the motor should consume, divided by the torque the motor should theoretically deliver.

B. Volumetric efficiency is the theoretical flow rate the motor should consume, divided by the actual power delivered to the motor.

C. Volumetric efficiency is the theoretical flow rate the motor should consume, divided by the actual flow rate consumed by the motor.

D. The volumetric efficiency of a motor can be greater than 1

E. None of the above

Answer C. “Volumetric efficiency is the theoretical flow rate the motor should consume, divided by the actual flow rate consumed by the motor.”

Question 4

Which of the following statements is true about different efficiencies of a hydraulic motor?

A. The overall efficiency of a hydraulic motor is, as in the case of pumps, equals to the product of the volumetric and mechanical efficiencies

B. The mechanical efficiency of a hydraulic motor is the inverse of that of a pump.

C. The volumetric efficiency of a hydraulic motor is the inverse of that of a pump.

D. A, B, and C

E. None of the above

Answer D. “A, B, and C”

Question 5

Which of the following statements is NOT true about different efficiencies of a hydraulic motor?

A. The volumetric efficiency of a hydraulic motor is the inverse of that of a pump.

B. The mechanical efficiency of a hydraulic motor is the inverse of that of a pump.

C. The overall efficiency of a hydraulic motor is, as in the case of pumps, equals to the product of the volumetric and mechanical efficiencies

D. Volumetric, mechanical, and overall efficiency of a motor are always greater the volumetric, mechanical, and overall efficiency of a pump respectively

E. None of the above

Answer D. “Volumetric, mechanical, and overall efficiency of a motor are always greater the volumetric, mechanical, and overall efficiency of a pump respectively.”

Question 6

Which of the following is true about hydraulic motors?

A. A motor uses more flow than it theoretically should

B. A hydraulic motor delivers less torque than it theoretically should

C. Hydraulic motors extract energy from a fluid and convert it to mechanical energy

D. In vane motors, vanes are held in contact with cam ring by springs or by being pressure-loaded

E. All of the above

Answer E. “All of the above”

Question 7

Which of the following is true about hydraulic motors?

A. A motor uses more flow than it theoretically should

B. A hydraulic motor delivers less torque than it theoretically should

C. Hydraulic motors extract energy from a fluid and convert it to mechanical energy

D. In vane motors, vanes are held in contact with cam ring by springs or by being pressure-loaded

E. All of the above

Answer E. “All of the above”

Question 8

Which of the following is true about hydraulic valves?

A. Directional control valves determine the path if a fluid in a given circuit

B. Pilot check valves can permit flow in the normally blocked opposite direction

C. A pressure relief valve is used to limits the maximum pressure in a hydraulic system

D. A pressure reducing valve is used to maintain reduced pressures

E. All of the above

Answer E. “All of the above”

Question 9

Which of the following is one way of actuating a directional control valve?

A. Solenoid actuated

B. Manually actuated

C. Piloted actuated

D. Mechanically actuated

E. All of the above

Answer E. “All of the above”

Question 10

Which of the following is true about hydraulic valves?

A. Directional control valves determine the path of a fluid in a given circuit

B. Pressure control valves protect the system against overpressure

C. Flow control valves control fluid flow rate in hydraulic circuit lines

D. Check valves permit fluid flow in only one direction regardless

E. All of the above

Answer E. “All of the above”

Question 11

Which of the following symbols represent a shuttle valve?

A.

B.

C.

D.

E. None of the above

Answer D.

Question 12

Which of the following symbols represent a two position, four-way directional control valve?

A.

B.

C.

D.

E. None of the above

Answer A.

Question 13

Which of the following is NOT a directional control valve?

A. Check valve

B. Shuttle valve

C. Solenoid actuated, spring return, two-position, three-way valve

D. Counterbalance valve

E. None of the above

Answer D. “Counterbalance valve”

Question 14

Which of the following is NOT a pressure control valve?

A. Pressure relief valve

B. Pressure reducing valve

C. Sequence valve

D. Unloading valve

E. None of the above

Answer E. “None of the above”

Question 15

Which of the following is NOT a flow control valve?

A. Needle valve

B. Non-pressure-compensated valve

C. Pressure compensated valve

D. Servo valve

E. None of the above

Answer D. “Servo valve”

Problem 1

A rotary actuator has the following physical data:

Outer radius of rotor = 0. 5 in

Outer radius of vane = 1.25 in

Width of vane = 1 in

If the torque load is 800 in∙lb, what pressure must be developed to overcome the load?

Solution

Known Data

Outer radius of rotor RR = 0.5 in

Outer radius of vane RV = 1.25 in

Width of vane L = 1 in

Torque T = 800 in∙lb

Unknown (s)

Pressure p?

Needed

Volumetric displacement VD

Formula

Detailed Calculation

First, solve for the volumetric displacement.

Then solve for the pressure that must be developed to overcome the load.

Problem 2

A hydraulic motor has 5-in3 volumetric displacement. If it has a pressure rating of 1800 psi and receives oil from a 10-gpm theoretical flow-rate pump, find the motor

a. Speed

b. Theoretical torque

c. Theoretical horsepower

Solution

Known Data

Volumetric displacement VD = 5 in3

Pressure p = 1800 psi

Theoretical flow rate QT = 10 gpm

Unknown (s)

a. Speed

b. Theoretical torque

c. Theoretical horsepower

Formula

Detailed Calculation

Problem 3

A hydraulic motor has a displacement of 120 cm3 and operates with a pressure of 100 bars and a speed of 2100 rpm. If the actual flow rate consumed by the motor is 0.0045 m3/s and the actual torque delivered by the motor is 180 N∙m, find

a. ηv

b. ηm

c. ηo

d. kW power delivered by the motor

Solution

Known Data

Volumetric displacement VD = 120 cm3 = 0.00012 m3

Pressure p = 100 bars = 10,000,000 Pa (N/m2)

Speed N = 2100 rpm = 35rev/s = 219.91 rad/s

Actual flow rate QA = 0.0045 m3/s

Actual torque TA = 180 N∙m

Unknown (s)

Volumetric efficiency ηV = ?

Mechanical efficiency ηm = ?

Overall efficiency ηo = ?

Formula

Detailed Calculation

Let’s start units conversion

Problem 4

A hydraulic transmission operating at 100-bars pressure has the following characteristics

__________________________________________

Pump motor____

VD = 105 cm3 VD = ?

ηv = 84% ηv = 93%

ηm = 91% ηm = 90%

N = 960 rpm N = 570 rpm__

Find the

a. Displacement of the motor

b. Motor output torque

Solution

Known Data

Pressure p = 100 bars = 10,000,000 Pa (N/m2)

Pump volumetric displacement VDP = 105 cm3 = 0.000105 m3

Pump volumetric efficiency ηVP = 84 % = 0.84

Motor volumetric efficiency ηVM = 93 % = 0.93

Pump mechanical efficiency ηMP = 91 % = 0.91

Motor mechanical efficiency ηMM = 90 % = 0.9

Pump speed NP = 960 rpm = 16 rev/s

Motor speed NM = 570 rpm = 9.5 rev/s = 59.69 rad/s

Unknown (s)

Motor volumetric displacement VDM =?

Motor output Torque Tby motor =?

Formula

Detailed Calculation

Problem 5

A pressure relief valve contains a poppet with a 0.7-in2 area on which system pressure acts. During assembly, a spring with a spring constant of 2200 lb/in is installed in the valve to hold the poppet against its seat. The Adjustment mechanism is then set so that the spring initially compresses 0.16 inches from its free-length condition. In order to pass full pump flow through the valve at the PRV pressure setting, the poppet must move 0.09 inches from its fully closed position. Determine the

a. Cracking pressure

b. Full pump flow pressure (PRV pressure setting)

Solution

Known Data

Poppet area Apoppet = 0.7 in2

Spring constant k = 2200 lb/in

Initial compression Sinitial = 0.16 in

Additional compression Sadditional = 0.09 in

Unknown (s)

a) Overall efficiency ηo?

b) Theoretical torque TT?

Needed

Theoretical flow rate QT?

Volumetric efficiency ηv?

Mechanical efficiency ηm?

Formula

Detailed Calculation

Problem 6

A pressure relief valve has a pressure setting of 2200 psi. Compute the horsepower loss across this valve if it returns all the flow back to the tank from a 23-gpm pump.

Solution

Known Data

Pressure p = 2200 psi

Back flow rate Q = 23 gpm

Unknown (s)

Horsepower loss HP?

Formula

Detailed Calculation

Problem 7

An unloading valve is used to unload the pump of problem 6. If the pump discharge pressure during unloading equals 32 psi, how much hydraulic horsepower is being wasted?

Solution

Known Data

Pump discharge pressure p = 32 psi

Flow rate Q = 23 gpm

Unknown (s)

Horsepower loss HP?

Formula

Detailed Calculation

Problem 8

A 1.5-in diameter sharp-edged orifice is placed in a pipeline to measure flow rate. If the measured pressure drop is 90 psi and the fluid specific gravity is 0.89, find the flow rate in units of gpm.

Solution

Known Data

Diameter D = 1.5 in

Pressure drop ∆p = 90 psi

Specific gravity SG = 0.89

Flow coefficient C = 0.8

Unknown (s)

Volume flow rate Q in gpm?

Needed

Orifice area A?

Formula

Detailed Calculation

Problem 9

The figure in front shows flow versus pressure drops curves for four valves when the fluid has a specific gravity of 0.89. What is the capacity coefficient of the valve identified by curve number 4 at a flow rate of 5 gpm?

Solution

Known Data

Specific gravity SG = 0.88

Flow rate Q = 5 gpm

Unknown (s)

Capacity coefficient CV?

Formula

Detailed Calculation

At a flow rate of 5 gpm the pressure drop for curve 7 is approximately 90 psi.

Hence,

Problem 10

The system shown below has a hydraulic cylinder with a suspended load W. The cylinder piston and the rod diameters are 1.75 in and 0.75 in respectively. The pressure relief valve setting is 700 psi. Determine pressure p2 for a constant cylinder speed if

a. W = 1800 lb

b. W = 0 (load is removed)

Figure for Problem 10

Solution

Known Data

Piston diameter DP = 1.75 in

Rod diameter Dr = 0.75 in

PRV set pressure = p1 = 700 psi

Load W = 1800 lb

Load W = 0 lb

Unknown (s)

Pressure p2?

Needed

Piston area AP?

Rod area Ar?

Formula

Detailed Calculation

Let’s first calculate the areas of the piston and the rod, then their difference.

For constant cylinder speed, the summation of forces on the hydraulic cylinder must equal zero.

Thus, we have

(a) W = 1800 lb

Solving,

(b)

Pressure p2 could have been calculated straight from the following symbolic expression

Obtained by solving the sum of forces acting on the cylinder equals to zero equation

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