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A large 53.5 kg pottery wheel has a radius of 0.66 m and can be considered as a

ID: 1291522 • Letter: A

Question

A large 53.5 kg pottery wheel has a radius of 0.66 m and can be considered as a solid cylinder rotating about an axis through its center. How much work must be done on the pottery wheel to increase the rate at which it is spinning from 81.0 rpm to 140.0 rpm? A large 53.5 kg pottery wheel has a radius of 0.66 m and can be considered as a solid cylinder rotating about an axis through its center. How much work must be done on the pottery wheel to increase the rate at which it is spinning from 81.0 rpm to 140.0 rpm?

Explanation / Answer

wo = (140 Revolutions/Minute)(2p radians/revolution)(1 minute/60 sec) = 14.67 rad/s
w = (81 Revolutions/Minute)(2p radians/revolution)(1 minute/60 sec) = 8.47 rad/s
work done is= 1/2*I*(w12-w22)

=1/2(1/2*53.5 *0.662)(14.672-8.472)=836 Joule

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