Physics: Principles with Applications (7th Edition)

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

Chapter 33 - Astrophysics and Cosmology - General Problems - Page 982: 43

Answer

$P=1.7\times10^{25}W$.

Work Step by Step

The pulsar’s power output is its daily energy loss, divided by the elapsed time of 86400s. $$P=\frac{\Delta KE}{\Delta t}$$ The rotational kinetic energy is $\frac{1}{2}I\omega^2$. $$P=\frac{\frac{1}{2}I\omega^2(fraction\;lost)}{\Delta t}$$ $$P=\frac{\frac{1}{2}\frac{2}{5}MR^2\omega^2(fraction\;lost)}{\Delta t}$$ $$P=\frac{1}{5}\frac{(1.5)(1.99\times10^{30}kg)(8000m)^2(2\pi\;rad/s)^2(1\times10^{-9})}{86400s}$$ $$P=1.7\times10^{25}W$$
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