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You are standing at the edge of a large horizontal turntable in a carnival funhouse. The turntable is set rotating on frictionless bearings, and it rotates freely. As you walk toward the center of the turntable: what happens to the combined angular momentum of you and the turntable? What happens to the rotational speed of the turntable?
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(a)The combined angular momentum is conserved as there is no external torque applied.

(b)Also L=I*(omega), L=angular momentum

I=Moment of interia , omega=angular velocity

as L is constant and as you walk towards the centre the moment of inertia of the combined system decreases, so in order to keep L to be constant omega increases. So angular velocity increases.
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