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

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]

One revolution is equivalent to 2xpi radians

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

Disclaimer

This chatbot (Alphonsio) provides automated responses generated by machine-learning algorithms and relies on the accuracy of the underlying language models. While this Chatbot is programmed to provide accurate and relevant information, its information may not always be exhaustive, accurate, up-to-date or tailored to individual circumstances. It is not a substitute for professional advice or consultation with qualified experts. This chatbots and its responses are intended for informational purposes only and should not be used for commercial or business purposes. The creators of this chatbot are not liable for any damages or losses incurred as a result of using the information provided. By using our website, you acknowledge and agree to these terms. The data you submit to this chatbot is used to improve our algorithms. Under no circumstances should you submit sensitive data such as, but not limited to, personal data or passwords. The data you submit could then be made public.