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An experimental bicycle wheel is placed on a test stand so that it is free to turn on its axle. If a constant net torque of 6.00 N · m is applied to the tire for 5.00 s, the angular speed of the tire increases from 0 to 100 rev/min. The external torque is then removed, and the wheel is brought to rest by friction in its bearings in 150 s.

(a) Compute the moment of inertia of the wheel about the rotation axis.
(b) Compute the friction torque.
(c) Compute the total number of revolutions made by the wheel in the 150-s time interval.

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