College Physics (4th Edition)

Published by McGraw-Hill Education
ISBN 10: 0073512141
ISBN 13: 978-0-07351-214-3

Chapter 1 - Problems - Page 22: 65


$v = \omega~r$

Work Step by Step

The linear speed $v$ has units of $m~s^{-1}$ To find linear speed, we need the radius $r$ in units of $m$ To find linear speed, we need the angular frequency $\omega$ in units of $s^{-1}$ The mass is not required since the linear speed does not include units of $kg$ The product $\omega~r$ has units of $m~s^{-1}$ Since there is no dimensionless constant, $v = \omega~r$.
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