Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 3 - Review Exercises - Page 130: 62

Answer

$s=285.3205253\text{ radians cm}$

Work Step by Step

RECALL: (1) $v=r\omega$ (2) $v=\dfrac{s}{t}$ Substitute the given values of $r$ and $\omega$ into formula (1) above to obtain: \begin{array}{ccc} &v&=&r\omega \\&v&= &(11.46\text{ cm})(4.283\text{ radians per sec}) \\&v&=&49.08318\text{ radians cm per sec}\end{array} Substitute the answer above and the given value of $t$ into formula (2) above to obtain: \begin{array}{ccc} &v &= &\frac{s}{t} \\&49.08318 \text{ radians cm per sec} &=&\dfrac{s}{5.813 \text{ sec}}\end{array} Cross-multiply to otbain: \begin{array}{ccc} &s &= &(49.08318 \text{ radians cm per sec})(5.813 \text{ sec}) \\&s &=&285.3205253\text{ radians cm}\end{array}
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