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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

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

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