A flywheel rotating freely at 1800 rev/min CW is subjected to a variable CCW torque which is first applied at time t = 0. The torque produces a CCW angular acceleration a = 4t rad/s2, where t is the time in seconds during which the torque is applied. Determine (a) the time required for the flywheel to reduce its CW angular speed to 900 rev/min, (b) the time required for the flywheel to reverse its direction of rotation, and (c) the total number of revolutions, CW plus CCW, turned by the flywheel during the first 14 seconds of torque application.