# Revs Per Minute To Radians Per Second Conversion

1 rpm = 0.104719755166667 rad/s

Want to convert from radians per second to revs per minute instead?

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## How to convert revs per minute to radians per second (rpm to rad/s)

The formula for converting revs per minute to radians per second is: rad/s = rpm × 0.104719755166667. To calculate the revs per minute value in radians per second first substitute the revs per minute value into the preceding formula, and then perform the calculation. If we wanted to calculate 1 revs per minute in radians per second we follow these steps:

rad/s = rpm × 0.104719755166667

rad/s = 1 × 0.104719755166667

rad/s = 0.104719755166667

In other words, 1 revs per minute is equal to 0.104719755166667 radians per second.

## Example Conversion

Let's take a look at an example. The step-by-step process to convert 6 revs per minute to radians per second is:

- Understand the conversion formula: rad/s = rpm × 0.104719755166667
- Substitute the required value. In this case we substitute 6 for rpm so the formula becomes: rad/s = 6 × 0.104719755166667
- Calculate the result using the provided values. In our example the result is: 6 × 0.104719755166667 = 0.628318531000002 rad/s

In summary, 6 revs per minute is equal to 0.628318531000002 radians per second.

## Converting radians per second to revs per minute

In order to convert the other way around i.e. radians per second to revs per minute, you would use the following formula: rpm = rad/s × 9.54929658122721. To convert radians per second to revs per minute first substitute the radians per second value into the above formula, and then execute the calculation. If we wanted to calculate 1 radians per second in revs per minute we follow these steps:

rpm = rad/s × 9.54929658122721

rpm = 1 × 9.54929658122721

rpm = 9.54929658122721

Or in other words, 1 radians per second is equal to 9.54929658122721 revs per minute.

## Conversion Unit Definitions

### What is a Revs Per Minute?

### What is a Radians Per Second?

## Revs Per Minute To Radians Per Second Conversion Table

Below is a lookup table showing common revs per minute to radians per second conversion values.

Revs Per Minute (rpm) | Radians Per Second (rad/s) |
---|---|

1 rpm | 0.104719755166667 rad/s |

2 rpm | 0.209439510333334 rad/s |

3 rpm | 0.314159265500001 rad/s |

4 rpm | 0.418879020666668 rad/s |

5 rpm | 0.523598775833335 rad/s |

6 rpm | 0.628318531000002 rad/s |

7 rpm | 0.733038286166669 rad/s |

8 rpm | 0.837758041333336 rad/s |

9 rpm | 0.942477796500003 rad/s |

10 rpm | 1.04719755166667 rad/s |

11 rpm | 1.151917306833337 rad/s |

12 rpm | 1.256637062000004 rad/s |

13 rpm | 1.361356817166671 rad/s |

## Other Common Revs Per Minute Conversions

Below is a table of common conversions from revs per minute to other frequency units.

Conversion | Result |
---|---|

1 revs per minute in revs per second | 0.0166666666666667 rps |