Suppose a figure skater has gone into a spin with her arms extended, and she pulls them inward while re-distributing her mass to reduce her moment of inertia by 1.9 times, how much more rapidly does she spin?

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Suppose a figure skater has gone into a spin with her arms extended, and she pulls them inward while re-distributing her mass to reduce her moment of inertia by 1.9 times, how much more rapidly does she spin? 

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Step 1

During a rotational motion of an object, the object possesses an angular momentum.

And if there is no net external torque acting on this rotational system, then according to the law of conservation of angular momentum, the total angular momentum of the rotating body remains constant.

This angular momentum of an object is given in terms of its angular velocity as

L=IωI is the moment of inertia of the objectω is its angular velocity

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