The combination of an applied force and a friction force produces a constant total torque of t = N ? m on a wheel rotating about a fixed axis. The applied force acts for t1 = s. During this time, the angular speed of the wheel increases from wi = to wf = rad/s. The applied force is then removed, and the wheel comes to rest in tr = s. Find
(a) the moment of inertia of the wheel,
(b) the magnitude of the torque due to friction, and
(c) the total number of revolutions of the wheel during the entire interval of 66.0 s.