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 445-mile trip in a typical midsize car produces about 2.89 x 109 J of energy. How fast would a 8.26-kg flywheel with a radius of 0.331 m have to rotate to store this much energy? Give your answer in rev/min.

Explanation / Answer

to balance energy

Kinetic energy =2.89*10^9

1/2 * I *w^2=2.89 * 10^9

As I =mr^2/2

By substituting the values

we get w=1.13021 * 10^5 rad/s

w=1.07928 * 10^6 rev/min

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