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You need to design an industrial turntable that is 53.5 centimeter in diameter and has a kinetic energy of 0.270 Joule when turning at 48.5 rpm.

(a) Find what must be the moment of inertia of turntable about the rotation axis?

(b) If your workshop makes this turntable in the shape of a uniform solid disk, determine what must be its mass?

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