An ice skater is spinning at an angular speed of 3.17 rad/s with a moment of inertia of 27.0 kg•m^2 on the icy surface (frictionless). After pulling in his arms, his angular speed increases to 5.66 rad/s. (A) what is his new inertia now? (B) find his kinetic energy (1) before pulling in his arms, and (2) after pulling in his arms. can you give detailed steps?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter10: Rotational Motion
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Problem 15OQ
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An ice skater is spinning at an angular speed of 3.17 rad/s with a moment of inertia of 27.0 kg•m^2 on the icy surface (frictionless). After pulling in his arms, his angular speed increases to 5.66 rad/s. 
(A) what is his new inertia now? 
(B) find his kinetic energy (1) before pulling in his arms, and (2) after pulling in his arms. 
can you give detailed steps? 

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