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 375-mile trip in a typical midsize car produces about 4.67 x 109 J of energy. How fast would a 39.9-kg flywheel with a radius of 0.560 m have to rotate to store this much energy? Give your answer in rev/min.

Explanation / Answer

I = ½m*r² = .6.256 kgm²

E = ½Iw² w = [2E/I] = [2*1.4E9/6.256]

w =38638 rad/sec

rpm = w*[60/2] = 550543

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