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AP® Physics C: Mechanics

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Angular Speed of a Ballet Dancer

APPHMC-8JVMDE

A ballet dancer is spinning with her arms spread out with an angular speed of $ \omega $. The moment of inertia of the dancer in this state is $I_1$. She slowly pulls her arms inward such that her moment of inertia changes to $I_2$.

The angular speed of the ballet dancer in this state is now

A

$ \omega $

B

$ \cfrac {I_2}{I_1} \omega $

C

$ \cfrac {I_1^2 }{I_2^2}\omega $

D

$ \cfrac {I_2^2}{I_1^2}\omega $

E

$ \cfrac {I_1}{I_2}\omega $