Calculate angular velocity from angular displacement and time interval.
One full rotation = 2π ≈ 6.283185 rad
Time must be greater than zero
Angular Velocity
6.2832
rad/s
Frequency
1.0000
rev/s (Hz)
Rotational Speed
60.00
RPM
Angular velocity measures how quickly an object rotates around a fixed axis. It is usually expressed in radians per second.
For uniform rotation, angular velocity is the angular displacement divided by the time taken. A larger angular displacement in the same time means a larger angular velocity.
Angular velocity is widely used in rotating machinery, wheels, motors, turbines, robotics, and general rotational dynamics.
A wheel completes 3 full rotations in 6 seconds. What is its angular velocity?
Angular displacement:
Angular velocity:
Convert to RPM:
Angular velocity measures rotation rate, while linear velocity measures straight-line speed. They are related by v = ωr for a point at radius r.
Radians are the standard angular unit in physics because they make rotational formulas simpler and more natural.
Yes. The sign can represent direction of rotation, depending on the chosen sign convention.
Frequency counts complete revolutions per second, while angular velocity counts radians per second. They are related by ω = 2πf.
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