A torque of 36.5 N · m is applied to an initially motionless wheel which rotates around a fixed axis. This torque is the result of a directed force combined with a friction force. As a result of the applied torque the angular speed of the wheel increases from 0 to 10.5 rad/s.After 5.90 s the directed force is removed, and the wheel comes to rest 59.8 s later.

(a) What is the wheel's moment of inertia (in kg · m ² )?

(b) What is the magnitude of the torque caused by friction (in N · m)?

(c) From the time the directed force is initially applied, how many revolutions does the wheel go through?