A heavy flywheel is accelerated (rotationally) by a motor that provides constant torque and therefore a constant angular acceleration. The flywheel is assumed to be at rest at time t=0 in Parts A and B of this problem. Make sure to calculate the flywheel's angular acceleration. Express your answer in terms of the following:
Part C:
Assume that the motor has accelerated the wheel up to a certain velocity with angular acceleration. At this point, the motor is turned off and a brake is applied that decelerates the wheel. Find the time it will take for the wheel to stop when the brake is applied (i.e., the time the wheel reaches zero angular velocity). Express your answer in terms of the following units.