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Q.

A ballet dancer is rotating about his own vertical axis at an angular velocity 100 rpm on smooth horizontal floor. The ballet dancer folds himself close to his axis of rotation by which is moment of inertia decreases to half of initial moment of inertia then his final angular velocity is

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a

50rpm

b

100rpm

c

150rpm

d

200rpm

answer is D.

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Detailed Solution

I1ω1=I2ω2;I1n1=I2n2⇒n2=200rpm
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A ballet dancer is rotating about his own vertical axis at an angular velocity 100 rpm on smooth horizontal floor. The ballet dancer folds himself close to his axis of rotation by which is moment of inertia decreases to half of initial moment of inertia then his final angular velocity is