Angular Velocity Calculator
Enter a rotational speed as RPM or radians per second to convert between RPM, rad/s and deg/s. Add a radius to also get the tangential (linear) speed.
How to use the angular velocity calculator
- Choose whether you are entering RPM or radians per second.
- Type the value, and optionally a radius in metres.
- Read RPM, rad/s, deg/s and tangential speed in m/s.
Examples
Convert 60 RPM
rpm = 60
6.2832 rad/s, 360 deg/s
Add a 0.5 m radius
rpm = 60, radius = 0.5 m
tangential speed = 3.1416 m/s
Frequently asked questions
How do I convert RPM to rad/s?
Multiply RPM by 2 x pi and divide by 60. One revolution is 2 x pi radians and one minute is 60 seconds, so 60 RPM equals 6.2832 rad/s.
How do I convert rad/s to deg/s?
Multiply the angular velocity in rad/s by 180 and divide by pi. A full circle is 2 x pi radians or 360 degrees.
What is tangential speed?
Tangential speed is how fast a point on the rim moves along its path. It equals the angular velocity in rad/s times the radius in metres.
Why does the tool need a radius for linear speed?
Angular velocity alone describes how fast something spins. The linear speed of a point depends on how far that point sits from the axis, which is the radius.
Can I enter radians per second instead of RPM?
Yes. Provide either RPM or radians per second. The tool fills in the other measures, including deg/s and tangential speed when a radius is given.
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