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 270 mile trip in a typical midsize car produces about 1.70 109 J of energy. How fast would a 13 kg flywheel with a radius of 0.40 m have to rotate in order to store this much energy? Give your answer in rev/min.

Explanation / Answer

E = (1/2) I w^2

>>>>
w = 2E/I
w = 2E/(0.5*m*R^2)
w = 2*1.70e9/(0.5*13*0.4*0.4)
w = 3269230769.2307692307692307692308 rad/s

f = w/(2*3.14)
f = 3269230769.231*60/(2*3.14) rev/s
f = 3.12 * 10^10 rev/min
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Answer: 3.12 * 10^10 rev/min

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