user

What is the formula to convert revolutions per minute (rpm) to radians per second (rad/s)?

alphonsio

The formula for converting **revolutions per minute** ( $rpm$ ) into **radians per second** ( $rad.s^{-1}$ ) is given by :

$\omega = \frac{2\pi}{60} \times N$

$\omega_{ rad.s^{-1}} = \frac{2\pi}{60} \times N_{tr/min}$

where :

- $N_{tr/min}$ is the angular velocity expressed in revolutions per minute [rpm]
- $\omega_{ rad.s^{-1}}$ is the angular velocity expressed in radians par seconde [rad/s]

Multiply the speed in **revolutions** per minute by $2\pi$ to obtain **radians** per minute.

Then divide the result by 60 to convert radians per **minute** to radians per **second**.

The following relationships can be deduced:

**1**rad/s =**9.549296585513721**rpm**1**rpm =**0.10471975511965977**rad/s