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 230 mile trip in a typical midsize car produces about 1.50 109 J of energy. How fast would a 13 kg flywheel with a radius of 0.21 m have to rotate in order to store this much energy? Give your answer in rev/min.

Explanation / Answer

we have

rotational KE = 1/2 I2 , I = mr2/2

So,

1/4 mr22 = 1.5 x109

substitute the values

= 102.3 x 103 rad/sec

therefore, the answer is 102.3 x 103 rad/sec

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