You need to design an industrial turntable that is 55.0 cm in diameter and has a

Question

You need to design an industrial turntable that is 55.0 cm in diameter and has a kinetic energy of0.245 J when turning at 45.5 rpm (rev/min). (a) What must be the moment of inertia of theturntable about the rotation axis?
1 kg · m2

(b) If your workshop makes this turntable in the shape of a uniformsolid disk, what must be its mass?
2 kg
(a) What must be the moment of inertia of theturntable about the rotation axis?
1 kg · m2

(b) If your workshop makes this turntable in the shape of a uniformsolid disk, what must be its mass?
2 kg

Explanation / Answer

K = (1/2) I w2  so...     w = 45.5 rpm = 4.76476rad/s . 0.245 = (1/2) * I * 4.764762 .    I =   0.021583 kg-m2     isthe moment of inertia .    I = (1/2) MR2 .    0.021583  =   (1/2) * M * 0.2752 .    M =   0.5708 kg     is themass .    M =   0.5708 kg     is themass

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