A figure skater spins at 5.6 rad/sec with a moment of inertia of 67.3 kg?m2. How...

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A figure skater spins at 5.6 rad/sec with a moment of inertia of 67.3 kg?m2. How...

A figure skater spins at 5.6 rad/sec with a moment of inertia of 67.3 kg?m². How fast are they spinning after they change their moment of inertia to 46.2 kg?m² by pulling their hands in closer to their body?

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Answer 1

Answer #1

By Law of Conservation of angular momentum,
$\sum I\omega = 0$

$I_{1}\omega_{1} = I_{2}\omega_{2}$

$\omega_{2} = \frac{5.6*67.3 }{46.2}$

$\omega_{2} = 8.158 rad/s$

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Answer 2

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