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what principle guarentees that a figure skater spins faster when the arms are brought closer to...

what principle guarentees that a figure skater spins faster when the arms are brought closer to the center of the body?
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Answer #1

When a figure skater brings arms closer to the body, she reduced the moment of inertia of some of its mass. This is because moment of inertia depends directly on the square of distance of mass from axis of rotation. As the distance of arms from body reduce, moment of inertia reduces.

Now, In this circular motion, Angular Momentum remains conserved.

Angular Momentum is given by:-

L = I × w where w= angular velocity.

Now, if moment of inertia reduces, angular velocity must increase in order to conserve the angular momentum.

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