Abus contains a 1500 kg flywheel (a disk that has a 0.600 m radius) and has a total mass of 10,000 kg. (a) calculate the angular velocity the flywheel must have to contain enough energy to take the bus from rest to a speed of 20.0 m/s, assuming 90.0% 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 3.00 m/s at the top of the hill?

H = 19.92 m

Explanation:

Given data:

weight of flywheel 1500 kg

disk radius is 0.6 m

total mass of bus is 10,000 kg

Kinetci energy of wheel is given as

where

I denotes moment of inertia

is angular velocity

from information given in question 90% of K.E( flywheel) = K.E of bus

K.E of bus

substituing all value in above equation

HERE   M = 1500 kg and r = 0 , so

solving for angular velocity

part b

by energy conservation theorem

0.90 Kr = Ke +  Ue

solving for H

H = 19.92 m

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