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# What is the formula to convert revolutions per minute to radians per second?

The formula to convert **revolutions per minute **() to **radians per second** ( or ) is given by:

where :

- is the angular velocity expressed in revolutions per minute [rpm]
- is the angular velocity expressed in radians per second [rad/s]

**1 rad/s ≈ 9.5492965855 rpm**

**1 rpm = 0.10471975511965977 rad/s**