Linear Speed
The linear speed of a point on a rotating object depends on its distance from the center of rotation. The angular speed is the angle that an object moves through in a certain amount of time. The angular speed has units of radians per second (rad/s). There are 2π radians in a full circle. At a distance r from the center of the rotation, a point on the object has a linear speed equal to the angular speed multiplied by the distance r. The units of linear speed are meters per second, m/s.
linear speed = angular speed x radius of the rotation
v = ωr
v = linear speed (m/s)
ω = angular speed (radians/s)
r = radius of the rotation (m)
if ω is in revolutions per second then it should be devided by \[\frac{2\pi radians}{1 rev} \]
\[\omega = x\, \: rev/s \times \left ( \frac{2 \pi radians}{1\: rev} \right ) = y \: radians/s \]
