Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 8 - Rotational Motion - General Problems - Page 227: 84

Answer

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Work Step by Step

a. Treat the Earth as a uniform sphere. The angular frequency is $2 \pi$ radians per day. $$L=I\omega=\frac{2}{5}MR_{Earth}^2(\frac{2\pi rad}{86400s})=7.1\times10^{33} kg \cdot m^2/s$$ b. Treat the Earth as a point mass. The angular frequency is one revolution per year. $$L=I\omega=MR_{sun-Earth}^2(\frac{2\pi rad}{3.15\times10^7s})=2.7\times10^{40} kg \cdot m^2/s$$
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