A torque of 36.2 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 9.7 rad/s. After 5.90 s the directed force is removed, and the wheel comes to rest 59.4 s later.

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Chapter1: Units, Trigonometry. And Vectors
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A torque of 36.2 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 9.7 rad/s. After 5.90 s the directed force is removed, and the wheel comes to rest 59.4 s later.
 
(a) What is the wheel's moment of inertia (in kg · m2)?
 
(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?
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