51? 51. ssm A flywheel is a solid disk that rotates about an axis that is perpen

Question

51? 51. ssm 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 300-mile trip in a typical midsize car produces about 1.2 X 10^9 J of energy. How fast would a 13-kg flywheel with a radius of 0.30 m have to rotate to store this much energy? Give your answer in rev/min.

Explanation / Answer

KE = 0.5*I*W^2 = 0.5*0.5*M*R^2*w^2

1.2e9 = 0.5*0.5*13*0.3*0.3*W^2

w = 64051.26 rad/s

w = 611954.27 rpm

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