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A ballet dancer spins about a vertical a...

A ballet dancer spins about a vertical axis at 120 rpm with arms outstretched. With her arms folded, the moment of inertia about the axis of rotation decreases by 40%. Calculate the new rate of rotation.

Text Solution

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`n_(1)=120" rpm",n_(2)=?`
`I_(1)omega_(1)=I_(2)omega_(2)`
Let `I_(1)=100` units, then `I_(2)=60` units `100xx120=60xxomega_(2)`
`omega_(2)=200` rpm
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