Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 1: Functions - Section 1.3 - Trigonometric Functions - Exercises 1.3 - Page 27: 4

Answer

$0.6~rad $ or $34^{\circ}$.

Work Step by Step

Given the wheel diameter of $1m=100cm $, its circumference should be $100\pi cm $, which is the distance a complete turn ($2\pi $) of the wheel will move. Hence, a 30cm travel corresponds to an angle of $\frac{30}{100\pi}\times 2\pi=0.6 rad $ equivalent to about $34^{\circ}$.
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