Aheavy flywheel is accelerated (rotationally) by a motor that provides constant torque and therefore a constant angular acceleration α. the flywheel is assumed to be at rest at time t=0 in parts a and b of this problem.
part a: find the time t1 it takes to accelerate the flywheel to ω1 if the angular acceleration is α.
part b: find the angle θ1 through which the flywheel will have turned during the time it takes for it to accelerate from rest up to angular velocity ω1.
part c: assume that the motor has accelerated the wheel up to an angular velocity ω1 with angular acceleration α in time t1. at this point, the motor is turned off and a brake is applied that decelerates the wheel with a constant angular acceleration of −5α. find t2, the time it will take the wheel to stop after the brake is applied (that is, the time for the wheel to reach zero angular velocity).