## College Physics (4th Edition)

$v = \omega~r$
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, $v = \omega~r$.