Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 12 - Section 12.6 - Radian Measure - Exercise - Page 418: 29

Answer

$25.8\;cm$.

Work Step by Step

Diameter $d=15.2\; cm$. Turning angle $θ=3.40\;rad$. We know that the radius $r=\frac{d}{2}$. $r=\frac{15.2 \;cm}{2}$ Simplify. $r=7.6\; cm$ The formula is $s=rθ$. Where s is the distance travelled by a point on the surface of the wheel. Plug all values. $s=(7.6\; cm)(3.40)$ Simplify and correct to one decimal place. $s=25.8\;cm$.
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