Conservation of Angular Momentum an object is rotating. It has an angular moment

Question

Conservation of Angular Momentum an object is rotating. It has an angular momentum defined as the product of the moment of inertia times the angular velocity. As long as no net external torque acts on the object, its angular momentum will stay the same. But what if the moment of inertia changes? In order to keep the same angular momentum, the angular velocity will adjust. Suppose a figure skater is spinning with an initial angular speed of 6.00 rad/s. She then pulls her arms in, reducing her moment of inertia from a value of 2.39 kg m/s to a value of 0.960 kg-m/s. What is her angular speed after pulling in her arms? Submit Answer Tries 0/1o skater is spinning with an initial angular speed of 4.90 rad/s. He then pulls his arms in, reducing his moment of inertia to 0.550 times its original value. What is his Submit Answer Tries 0/10

Explanation / Answer

a)

By Conservation of angular momentum

I1W1=I2W2

6*2.39 =0.96*W2

W2=14.9375 rad/s

b)

By Conservation of angular momentum

I1W1=I2W2

4.9=0.55*W2

W2 =8.91 rad/s

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