Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 3 - Test - Page 138: 19


$v = 8.13~mi/s$

Work Step by Step

Jupiter orbits through an angle of $2\pi$ radians in 11.86 years. We can find the angular speed: $\omega = \frac{\theta}{t}$ $\omega = \frac{2\pi~rad}{11.86~yrs}$ $\omega = 0.5298~rad/yr$ We can find the linear speed in miles per year: $v = \omega ~r$ $v = (0.5298~rad/yr)(483,800,000~mi)$ $v = 256,300,000~mi/yr$ We can convert the linear speed to units of miles per second: $v = 256,300,000~mi/yr\times \frac{1~yr}{365\cdot 24\cdot 3600~s}$ $v = 8.13~mi/s$
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