# Convert revolutions per minute [rpm] to radians per second [rad/s] and vice-versa

## Online converter

Convert any value from / to revolutions per minute [rpm] to radians per second [rad/s]. Fill one of the following fields, values will be converted and updated automatically.

rpm

## Explanation

$$rpm$$ stands for revolutions per minute. The aim is to convert $$N$$ (expressed in $$rpm$$) to $$\omega$$ (expressed in $$rad.s^{-1}$$). If $$N$$ revolutions are performed in one minute, $$\frac {N}{60}$$ revolutions are performed in one second. As one revolution is equal to $$2\pi$$ radians, the conversion can be done thanks to the following formula:

$$\omega_{ (rad.s^{-1}) } = \frac {2\pi}{60}.N_{(rpm)}$$

and vice-versa:

$$N_{(rpm)} = \frac {60}{2\pi}.\omega_{(rad.s^{-1})}$$