A person of mass 78 kg stands at the center of a rotating merry-go-round platform of radius 2.9 m and moment of inertia 840 kg⋅m2 . The platform rotates without friction with angular velocity 0.95 rad/s . The person walks radially to the edge of the platform. a) Calculate the angular velocity when the person reaches the edge. b) Calculate the rotational kinetic energy of the system of platform plus person before and after the person's walk.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter10: Rotational Motion
Section: Chapter Questions
Problem 46P: A playground merry-go-round of radius R = 2.00 m has a moment of inertia I = 250 kg m2 and is...
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A person of mass 78 kg stands at the center of a rotating merry-go-round platform of radius 2.9 m and moment of inertia 840 kg⋅m2 . The platform rotates without friction with angular velocity 0.95 rad/s . The person walks radially to the edge of the platform.

a) Calculate the angular velocity when the person reaches the edge.

b) Calculate the rotational kinetic energy of the system of platform plus person before and after the person's walk.

 

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