a cat with mass 4.5 kg is sitting on top of a turntable of mass 20 kg and radius

Question

a cat with mass 4.5 kg is sitting on top of a turntable of mass 20 kg and radius 1.4 m. Both the cat and the turntable are initially at rest, and the cat is located 0.6 m from the center of the turntable. If the cat starts to walk forward in a circle of constant radius with a (linear) velocity of 4 m/s, the turntable will start to rotate the opposite way to conserve angular momentum. Calculate the magnitude of the angular velocity of the turntable in rotations per minute (rpm). You can assume that the turntable is a solid disk.

Explanation / Answer

By conservation of momentum: m(V-wr)r=Iw=MR^2/2w w=0.8 /s=5.07 rpm(rounding )

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