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 370 mile trip in a typical midsize car produces about 1.60 109 J of energy. How fast would a 12 kg flywheel with a radius of 0.38 m have to rotate in order to store this much energy? Give your answer in rev/min.

Explanation / Answer

1/2 * (1/2 m r^2) * w^2 = KE stored in the flywheel ( assuming its a uniform density disc ) 1.6 x 10^9 = 1/4 . 12. 0.38^2 . w^2 3.693 x 10^9 = w^2 w = 6.077 . 10^4 rad/s = 5.80 10^5 rev/min

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