GATE ME 2021 Set 2 — Question 64
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Theory of Machines & Vibrations → Balancing, Flywheels & Gyroscopes → Flywheels & Governors
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Question
The torque provided by an engine is given by , where is the angle turned by the crank from inner dead center. The mean speed of the engine is and it drives a machine that provides a constant resisting torque. If variation of the speed from the mean speed is not to exceed , the minimum mass moment of inertia of the flywheel should be __________ (round off to the nearest integer).
Correct answer
560 to 580
Solution
1.Find Mean Torque ():
2.Find Maximum Fluctuation of Energy ():
Fluctuation occurs when , i.e., . This happens for .3.Calculate Flywheel Parameters:
Mean angular velocity, Coefficient of fluctuation of speed, . Given variation is , so .
4.Calculate Moment of Inertia ():
Rounding to the nearest integer, .
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