\[v = \omega r\]
Variables
vtangential velocity (m/s)
omegaangular velocity (rad/s)
rradius of rotation (m)
Description
What is this formula?
This equation calculates the tangential velocity of an object moving along a circular path.
When to use it
Use this formula when analyzing rotational systems where angular velocity and radius are known.
Example
If a rotating disk has an angular velocity of 12 rad/s and a radius of 0.5 m:
v = 12 × 0.5 = 6 m/s
Applications
Rotating machinery, wheels, turbines, robotics, mechanical engineering, and circular motion analysis.