GATE ME 2014 Set 4 — Question 48
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Theory of Machines & Vibrations → Balancing, Flywheels & Gyroscopes → Flywheels & Governors
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Question
Torque and angular speed data over one cycle for a shaft carrying a flywheel are shown in the figures. The moment of inertia (in kg.m) of the flywheel is _______
📷 Figure: Torque vs theta and Angular speed vs theta graphs
Correct answer
30 to 32
Solution
From the torque-theta diagram, the work done during the interval is J. From to , the torque is zero, so . Thus, the total work done from to is J. According to the work-energy theorem, this work done equals the change in kinetic energy of the flywheel: . From the angular speed graph, rad/s and rad/s. Substituting the values: kg.m.
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