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Rotational Work and Kinetic Energy

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If the work required to spin a disk up from 1.0 rad/s to 2.0 rad/s is 100.0 J.
(a) what is the moment of inertia (I) of the disk?

(b) How much additional work would be required to increase its angular speed from 2.0 rad/s to 4.0 rad/s?

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