A bus contains a 1600 kg flywheel (a disk that has a 0.62 m radius) and has a total mass of 9200 kg.

Randomized Variables
m = 1600 kg
r = 0.62 m
mt = 9200 kg
v1 = 23 m/s
v2 = 2.75 m/s

Part (a) Calculate the angular velocity the flywheel must have to contain enough energy to take the bus from rest to a speed of 23 m/s in rad/s, assuming 90.0% of the rotational kinetic energy can be transformed into translational energy.

Part (b) How high a hill can the bus climb with this stored energy and still have a speed of 2.75 m/s at the top of the hill in m?