# Radians per Second to Revolutions per Minute Converter

Enter the frequency in radians per second below to convert it to revolutions per minute.

## Result in Revolutions per Minute:

Do you want to convert revolutions per minute to radians per second?

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

To convert a measurement in radians per second to a measurement in revolutions per minute, multiply the frequency by the following conversion ratio: 9.549297 revolutions per minute/radian per second.

Since one radian per second is equal to 9.549297 revolutions per minute, you can use this simple formula to convert:

revolutions per minute = radians per second × 9.549297

The frequency in revolutions per minute is equal to the frequency in 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.

### How Many Revolutions per Minute Are in One Radian per Second?

There are **9.549297** revolutions per minute in one radian per second, which is why we use this value in the formula above.

1 rad/s = 9.549297 RPM

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

RPM = 60 × rad/s / 2π

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 = 300 / 2π

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.

## What Are Radians per Second?

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

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

In the expressions of units, the slash, or solidus (/), is used to express a change in one or more units relative to a change in one or more other units.^{[1]} For example, rad/s is expressing a change in angle relative to a change in time.

Learn more about radians per second.

## What Are Revolutions per Minute?

Revolutions per minute are a measure of the number of rotations, turns, or revolutions, that an object makes each 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 = Revolutions / Time in Minutes

Learn more about revolutions per minute.

## 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

## More Radian per Second & Revolution per Minute Conversions

- radians per second to hertz
- radians per second to kilohertz
- radians per second to megahertz
- radians per second to gigahertz
- radians per second to terahertz
- radians per second to cycles per second
- radians per second to degrees per second
- hertz to revolutions per minute
- kilohertz to revolutions per minute
- megahertz to revolutions per minute
- gigahertz to revolutions per minute
- terahertz to revolutions per minute
- cycles per second to revolutions per minute
- degrees per second to revolutions per minute