# Revs Per Second To Radians Per Second Conversion

1 rps = 6.28318531 rad/s

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

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

The formula for converting revs per second to radians per second is: rad/s = rps × 6.28318531. To calculate the revs per second value in radians per second first substitute the revs per second value into the preceding formula, and then perform the calculation. If we wanted to calculate 1 revs per second in radians per second we follow these steps:

rad/s = rps × 6.28318531

rad/s = 1 × 6.28318531

rad/s = 6.28318531

In other words, 1 revs per second is equal to 6.28318531 radians per second.

## Example Conversion

Let's take a look at an example. The step-by-step process to convert 7 revs per second to radians per second is:

- Understand the conversion formula: rad/s = rps × 6.28318531
- Substitute the required value. In this case we substitute 7 for rps so the formula becomes: rad/s = 7 × 6.28318531
- Calculate the result using the provided values. In our example the result is: 7 × 6.28318531 = 43.98229717 rad/s

In summary, 7 revs per second is equal to 43.98229717 radians per second.

## Converting radians per second to revs per second

In order to convert the other way around i.e. radians per second to revs per second, you would use the following formula: rps = rad/s × 0.159154943020453. To convert radians per second to revs per second 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 second we follow these steps:

rps = rad/s × 0.159154943020453

rps = 1 × 0.159154943020453

rps = 0.159154943020453

Or in other words, 1 radians per second is equal to 0.159154943020453 revs per second.

## Conversion Unit Definitions

### What is a Revs Per Second?

### What is a Radians Per Second?

## Revs Per Second To Radians Per Second Conversion Table

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

Revs Per Second (rps) | Radians Per Second (rad/s) |
---|---|

1 rps | 6.28318531 rad/s |

2 rps | 12.56637062 rad/s |

3 rps | 18.84955593 rad/s |

4 rps | 25.13274124 rad/s |

5 rps | 31.41592655 rad/s |

6 rps | 37.69911186 rad/s |

7 rps | 43.98229717 rad/s |

8 rps | 50.26548248 rad/s |

9 rps | 56.54866779 rad/s |

10 rps | 62.8318531 rad/s |

11 rps | 69.11503841 rad/s |

12 rps | 75.39822372 rad/s |

13 rps | 81.68140903 rad/s |

## Other Common Revs Per Second Conversions

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

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

1 revs per second in revs per minute | 60 rpm |