A flywheel in a laboratory apparatus has a moment of inertia of 0.25kg⋅m2. It is initially spinning at 20rads−1 and must be brought to 100rads−1. A motor delivers a constant torque to the flywheel for exactly 50 full revolutions.
(a) Calculate the angular displacement of the flywheel during the time the motor is accelerating it.
(b) Determine the work done on the flywheel by the motor during this process.
(c) Compute the magnitude of the constant torque supplied by the motor.
(d) Calculate the average power delivered by the motor over the interval in which it accelerates the flywheel.