(a) What is the new rotational speed of the bench?

College Physics
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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Diane sits on a piano stool that rotates freely. She is holding 2 kg masses in each hand of her outstretched arms. The moment of inertia of Diane, the piano bench and the masses is 7.2 kg x m^2 and the stool is rotating at a constant angular speed of 1.2 rev/s. Diane then brings her arms in close to her body and in doing so changes the moment of inertia to 5.5 kg x m^2.
(a) What is the new rotational speed of the bench?
(b) Calculate the ratio of the new kinetic energy of the rotating system to the original kinetic energy.
(c) What provided the added kinetic energy?

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