Why does angular speed increase by factor of four with this moment of inertia decreased by a factor of four

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Why does angular speed increase by factor of four with this moment of inertia decreased by a factor of four

[From: ] [author: ] [Date: 12-04-21] [Hit: ]

.but why???thank you!Clearly,......

an ice skater doing a spin pulls in her arms, decreasing her moment of inertia by a factor of four. How does her angular speed change?

It increase by a factor of four...but why???

thank you!

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Angular momentum L = I*w
Clearly, if I decreases by a factor of 4, w must increase by the same factor to conserve L.

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