# Revolutions per Minute to Radians per Second Converter

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

**Results in Radians per Second:**

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

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

To convert a measurement in revolutions per minute to a measurement in radians per second, multiply the frequency by the following conversion ratio: 0.10472 radians per second/revolution per minute.

Since one revolution per minute is equal to 0.10472 radians per second, you can use this simple formula to convert:

radians per second = revolutions per minute × 0.10472

The frequency in radians per second is equal to the frequency in revolutions per minute multiplied by 0.10472.

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

### How Many Radians per Second Are in One Revolution per Minute?

There are **0.10472** radians per second in one revolution per minute, which is why we use this value in the formula above.

1 RPM = 0.10472 rad/s

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

rad/s = RPM / 60 × 2π

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

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

rad/s = 0.083333 × 2π

rad/s = 0.523599

Revolutions per minute and radians per second are both units used to measure frequency of rotation or revolution. Keep reading to learn more about each unit of measure.

## 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.

## 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.

## Revolution per Minute to Radian per Second Conversion Table

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

1 RPM | 0.10472 rad/s |

2 RPM | 0.20944 rad/s |

3 RPM | 0.314159 rad/s |

4 RPM | 0.418879 rad/s |

5 RPM | 0.523599 rad/s |

6 RPM | 0.628319 rad/s |

7 RPM | 0.733038 rad/s |

8 RPM | 0.837758 rad/s |

9 RPM | 0.942478 rad/s |

10 RPM | 1.0472 rad/s |

11 RPM | 1.1519 rad/s |

12 RPM | 1.2566 rad/s |

13 RPM | 1.3614 rad/s |

14 RPM | 1.4661 rad/s |

15 RPM | 1.5708 rad/s |

16 RPM | 1.6755 rad/s |

17 RPM | 1.7802 rad/s |

18 RPM | 1.885 rad/s |

19 RPM | 1.9897 rad/s |

20 RPM | 2.0944 rad/s |

21 RPM | 2.1991 rad/s |

22 RPM | 2.3038 rad/s |

23 RPM | 2.4086 rad/s |

24 RPM | 2.5133 rad/s |

25 RPM | 2.618 rad/s |

26 RPM | 2.7227 rad/s |

27 RPM | 2.8274 rad/s |

28 RPM | 2.9322 rad/s |

29 RPM | 3.0369 rad/s |

30 RPM | 3.1416 rad/s |

31 RPM | 3.2463 rad/s |

32 RPM | 3.351 rad/s |

33 RPM | 3.4558 rad/s |

34 RPM | 3.5605 rad/s |

35 RPM | 3.6652 rad/s |

36 RPM | 3.7699 rad/s |

37 RPM | 3.8746 rad/s |

38 RPM | 3.9794 rad/s |

39 RPM | 4.0841 rad/s |

40 RPM | 4.1888 rad/s |

## 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 Revolution per Minute & Radian per Second Conversions

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