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. Over the cycle, the torque is zero for , N-m for and N-m for . The angular speed is rad/s up to , rises linearly to rad/s at , and then falls linearly back to rad/s at . The moment of inertia (in kg.m) of the flywheel is _______



Correct answer
30 to 32
Solution
The flywheel speeds up while the torque is positive and slows down while it is negative.Energy fluctuation. From to the torque is N-m, and in this interval the speed rises from rad/s to rad/s:(Check: the negative part, J, returns the same energy, so the cycle closes.)Moment of inertia.Answer: about kg.m
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