GATE ME 2024 Set 1 — Question 23
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Theory of Machines & Vibrations → Balancing, Flywheels & Gyroscopes → Flywheels & Governors
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Question
The change in kinetic energy of an engine is , and minimum and maximum shaft speeds are and , respectively. Assume that the torque-time function is purely harmonic. To achieve a coefficient of fluctuation of , the moment of inertia (in ) of the flywheel to be mounted on the engine shaft is
Correct answer
(B) 0.096
Solution
The maximum fluctuation of energy is given by .
First, calculate the mean angular velocity:Given and , we solve for :
First, calculate the mean angular velocity:Given and , we solve for :
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