What is the difference between angular and linear velocity?

Angular velocity measures rotation rate (rad/s), while linear velocity measures displacement rate (m/s). They are related by v = omega * r.

How do I convert RPM to rad/s?

Multiply RPM by 2*pi/60. For example, 60 RPM = 60 * 2*pi/60 = 2*pi = 6.283 rad/s.

Is angular velocity a vector?

Yes. Its direction is along the axis of rotation, determined by the right-hand rule.

Free Angular Velocity Calculator

Calculate angular velocity from angle of rotation and time using omega = theta / t.

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Angle of Rotation

degrees

Time

Angular Velocity

3.1416 rad/s

Revolutions per Minute30.00 RPM

Angular Velocity vs Time

View formula & how it works →

Angular Velocity

Angular velocity quantifies how fast an object rotates.

Formula

omega = theta / t

where theta is the angle in radians and t is time. One full revolution is 2*pi radians.

Example Calculation

A wheel completes one full rotation (360 degrees) in 2 seconds.

01Convert 360° to radians: 360 * pi / 180 = 2*pi rad
02omega = theta / t = 2*pi / 2 = pi rad/s
03omega = 3.1416 rad/s
04RPM = omega * 60 / (2*pi) = 30 RPM

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