Ahigh-speed flywheel in a motor is spinning at 450 rpm when a power failure suddenly occurs. the flywheel has mass 37.0 kg and diameter 73.0 cm. the power is off for 35.0 s and during this time the flywheel slows due to friction in its axle bearings. during the time the power is off, the flywheel makes 180 complete revolutions. for related problemsolving tips and strategies, you may want to view a video tutor solution of rotation with constant angular acceleretion.

a. at what rate is the flywheel spinning when the power comes back on? (rad/s)
b. how long after the beginning of the power failure would it have taken the flywheel to stop if the power had not come back on? (s)
c. how many revolutions would the wheel have made during this time?