A bus contains a 1500 kg, 0.600 m radius flywheel (a disk) and has a total mass of 10000 kg.
(a) Calculate the angular velocity the flywheel must have to contain enough energy to take the bus from rest to a speed of 27.0 m/s, assuming 83.0% of the rotational kinetic energy can be transformed into translational energy.
(b) How high a hill can the bus climb with this stored energy and still have a speed of 4.00 m/s at the top of the hill?