Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 3 - Section 3.5 - Velocities - 3.5 Problem Set - Page 164: 8


6 cm/sec

Work Step by Step

We know that if point $P$ is a point on a circle of radius $r$, and $P$ moves in a distance $s$ on the circumference of the circle in an amount of time $t$, then the linear velocity, $v$, of $P$ is calculated as $v=\frac{s}{t}$. We are given that $s=12$ cm and $t=2$ sec. Therefore, $v=\frac{12cm}{2sec}=\frac{12cm\div2}{2sec\div2}=\frac{6cm}{1sec}=6$ cm/sec.
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