Afuturistic design for a car is to have a large solid disk-shaped flywheel within the car storing kinetic energy. the uniform flywheel has mass 370 kg with a radius of 0.500 m and can rotate up to 230 rev/s. assuming 1/3 of the stored kinetic energy could be transferred to the linear velocity of the 1600 kg car, find the maximum attainable speed of the car.

The speed of the car is 245.6 m/s.

Explanation:

Given that,

Mass of flywheel = 370 kg

Radius = 0.500 m

Angular velocity = 230 rev/s

Mass of car = 1600 kg

We need to calculate the moment of inertia of the disk

Using formula of moment of inertia

Put the value into the formula

We need to calculate the kinetic energy of the fly wheel

Using formula of kinetic energy

..(I)

We need to calculate the kinetic energy of car

....(II)

We need to calculate the speed of the car

From equation (I) and (II)

Put the value into the formula

Hence, The speed of the car is 245.6 m/s.

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