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

## Online converter

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

rps

## Explanation

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

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

and vice-versa:

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