a-figure-skater-is-spinning-at-a-rate-of-12-revs-with-her-arms-extended-outwards

Question

A figure skater has her arms extended outwards at her sides, while spinning at a rate of 1.2 rev/s. If she pulls her arms close to her body, the rotation speed will increase to 1.8 rev/s.

(a) Why does the rotation speed increase?

(b) Express her final moment of inertia in terms of her initial moment of inertia.

Accepted Answer

(a) The skater's angular speed increases due to a decrease in the moment of inertia; (b) The moment of inertia has decreased by a factor of 0.67

Answer

(a) The skater's angular speed increases due to a decrease in the moment of inertia; (b) The moment of inertia has decreased by a factor of 0.57

Answer

(a) The skater's angular speed increases due to an increase in the moment of inertia; (b) The moment of inertia has increased by a factor of 0.67

Answer

(a) The skater's angular speed increases due to an increase in the moment of inertia; (b) The rotational speed has increased by a factor of 0.57

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