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 233-mile trip in a typical midsize car produces about 3.34 x 109 J of energy. How fast would a 15.9-kg flywheel with a radius of 0.467 m have to rotate to store this much energy? Give your answer in rev/min.

Explanation / Answer

KE = 0.5 I2

I (fly wheel) = mr^2/2 = ( 15.9)(0.467)^2/ 2= 1.7338 kgm^2 apprx

plugging thye value in equation,

3.34 x 10^9 = 0.5( 1.733)2

= 4.716 x 10^4 rev /sec apprx 282 .97 rev / min apprx

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