# Radians Per Second to Revolutions Per Minute Conversion

Enter the frequency in radians per second below to get the value converted to revolutions per minute.

**Results in Revolutions Per Minute:**

## How to Convert Radians Per Second to Revolutions Per Minute

To convert a radian per second measurement to a revolution per minute measurement, multiply the frequency by the conversion ratio. One radian per second is equal to 9.549297 revolutions per minute, so use this simple formula to convert:

The frequency in revolutions per minute is equal to the radians per second multiplied by 9.549297.

**For example,**here's how to convert 5 radians per second to revolutions per minute using the formula above.

The following formula can also be used to convert the angular frequency in radians per second to the frequency in revolutions per minute:

Thus, the frequency in revolutions per minutes is equal to the angular frequency in radians per second divided by 2π times 60.

**For example,**here's how to convert 5 rad/s to RPM using this formula.

RPM = 0.7957747 × 60

RPM = 47.746483

Radians per second and revolutions per minute are both units used to measure frequency. Keep reading to learn more about each unit of measure.

## Radians Per Second

Radians per second are a measure of angular frequency, or rotational speed, equal to the change in orientation or angle of an object in radians per second.

Radians per second can be abbreviated as *rad/s*; for example, 1 radian per second can be written as 1 rad/s.

In formal expressions, the slash, or solidus (/), is used to separate units used to indicate division in an expression.^{[1]}

## Revolutions Per Minute

Revolutions per minute are a measure of the number of turns, or revolutions, that occur per minute.

Revolutions per minute can be abbreviated as *RPM*, and are also sometimes abbreviated as *rev/min* or *r/min*. For example, 1 revolution per minute can be written as 1 RPM, 1 rev/min, or 1 r/min.

Revolutions per minute can be expressed using the formula:
RPM = RevolutionsTime_{m}

## Radian Per Second to Revolution Per Minute Conversion Table

Radians Per Second | Revolutions Per Minute |
---|---|

1 rad/s | 9.5493 RPM |

2 rad/s | 19.1 RPM |

3 rad/s | 28.65 RPM |

4 rad/s | 38.2 RPM |

5 rad/s | 47.75 RPM |

6 rad/s | 57.3 RPM |

7 rad/s | 66.85 RPM |

8 rad/s | 76.39 RPM |

9 rad/s | 85.94 RPM |

10 rad/s | 95.49 RPM |

11 rad/s | 105.04 RPM |

12 rad/s | 114.59 RPM |

13 rad/s | 124.14 RPM |

14 rad/s | 133.69 RPM |

15 rad/s | 143.24 RPM |

16 rad/s | 152.79 RPM |

17 rad/s | 162.34 RPM |

18 rad/s | 171.89 RPM |

19 rad/s | 181.44 RPM |

20 rad/s | 190.99 RPM |

21 rad/s | 200.54 RPM |

22 rad/s | 210.08 RPM |

23 rad/s | 219.63 RPM |

24 rad/s | 229.18 RPM |

25 rad/s | 238.73 RPM |

26 rad/s | 248.28 RPM |

27 rad/s | 257.83 RPM |

28 rad/s | 267.38 RPM |

29 rad/s | 276.93 RPM |

30 rad/s | 286.48 RPM |

31 rad/s | 296.03 RPM |

32 rad/s | 305.58 RPM |

33 rad/s | 315.13 RPM |

34 rad/s | 324.68 RPM |

35 rad/s | 334.23 RPM |

36 rad/s | 343.77 RPM |

37 rad/s | 353.32 RPM |

38 rad/s | 362.87 RPM |

39 rad/s | 372.42 RPM |

40 rad/s | 381.97 RPM |

## References

- National Institute of Standards and Technology, NIST Guide to the SI, Chapter 6: Rules and Style Conventions for Printing and Using Units, https://www.nist.gov/pml/special-publication-811/nist-guide-si-chapter-6-rules-and-style-conventions-printing-and-using