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 472-mile trip in a typical midsize car produces about 4.33 x 109 J of energy. How fast would a 22.9-kg flywheel with a radius of 0.582 m have to rotate to store this much energy? Give your answer in rev/min.

Explanation / Answer

I for disc = mR^2 /2

= 22.9 * 0.582 *0.582 /2 = 3.8783

energy = 1/2 I W^2

4.33 x 10^9 = 0.5*3.8783 * W^2

W = 47253.41 radians/sec

= 451236.89 rev/min

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