A spinning sphere has rotational kinetic energy given by E = mR²w² where m is the (constant) mass of the sphere, R is the radius of the sphere, and w is its angular speed (measured in radians per second). If the energy remains constant, use differentials to estimate the change in angular speed that corresponds to a 1% decrease in the radius of the sphere.

A spinning sphere has rotational kinetic energy given by E = mR²w² where m is the (constant) mass of the sphere, R is the radius of the sphere, and w is its angular speed (measured in radians per second). If the energy remains constant, use differentials to estimate the change in angular speed that corresponds to a 1% decrease in the radius of the sphere.

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 10P: A wheel 2.00 m in diameter lies in a vertical plane and rotates about its central axis with a...

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