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Angular Velocity Calculator

Convert rotational speed in RPM to angular velocity in radians per second and degrees per second using ω = 2π × RPM / 60.

Angular velocity
31.4159rad/s
Degrees per second
1800.00 °/s

Formula: ω = 2π × RPM / 60

About Angular Velocity Calculator

Angular Velocity Calculator is a free online calculator that gives you an instant, accurate result as you type. Convert rotational speed in RPM to angular velocity in radians per second and degrees per second using ω = 2π × RPM / 60.

The calculation uses the standard formula ω = 2π × RPM / 60 and updates live with every change to the inputs. Everything runs client-side in your browser — fast, private, and free to use as often as you like.

A record player spinning at 33⅓ RPM has an angular velocity of about 3.49 rad/s, while a car engine at 3000 RPM turns at 314 rad/s.

Frequently Asked Questions

Is Angular Velocity Calculator free to use?

Yes. Angular Velocity Calculator is completely free, with no sign-up, no downloads, and no usage limits. You can use it as many times as you like on any device with a web browser.

How accurate is this calculator?

The calculator applies the standard formula (ω = 2π × RPM / 60) with full floating-point precision and rounds only the displayed result. For most practical purposes the results are exact.