Circular Motion - Angular Velocity
Circular Motion - Angular Velocity
\[\omega = \frac{\theta}{t}\]
Variables
omega = angular velocity (rad/s)
theta = angular displacement (rad)
t = time elapsed (s)
Description
What is this formula?
This equation calculates the angular velocity of an object rotating around a fixed axis.
When to use it
Use this formula when analyzing rotational motion and the angular displacement over a known time interval.
Example
If a wheel rotates through 6.28 rad in 2 s:
omega = 6.28 / 2 = 3.14 rad/s
Applications
Rotational mechanics, motors, turbines, robotics, mechanical engineering, and physics education.
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