Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 6 - Section 6.1 - Angle Measure - 6.1 Exercises - Page 481: 88

Answer

39.26 miles/hr

Work Step by Step

To solve this problem, we first have to find out the circumference of the circle. Using the formula $C=2\pi r$, we plug in 11 as the radius to get a circumference of $22\pi$. We are making 600 revolutions per second and thus will travel $22\pi\times600$ inches per minute. That's is about 41469 in/min. There are 63360 inches in a mile so that becomes .654 miles/min. That is 39.26 miles/hr.
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