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