A flywheel Is a solid disk that rotates about an axis that is perpendicular to t

Question

A flywheel Is a solid disk that rotates about an axis that is perpendicular to the disk at its center. Rotating flywheels provide a means for storing energy In the form of rotational kinetic energy and are being considered as a possible alternative to batteries in electric cars. The gasoline burned in a 188-mile trip in a typical midsize car produces about 2.91 x 10® J of energy. How fast would a 28.9-kg flywheel with a radius of 0.501 m have to rotate to store this much energy? Give your answer in rev/min.

Explanation / Answer

E = 1/2 I * w^2

I = 1/2 mr^2 = 1/2 * 28.9 * 0.501^2 = 3.627 kg m^2

2.91*10^9 = 1/2 * 3.627 *w^2

w=40058 rad/s = 382525 rev/min

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