# Radians Per Second to Degrees Per Second Conversion

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

**Results in Degrees Per Second:**

## How to Convert Radians Per Second to Degrees Per Second

To convert a radian per second measurement to a degree per second measurement, multiply the frequency by the conversion ratio.

Since one radian per second is equal to 57.29578 degrees per second, you can use this simple formula to convert:

The frequency in degrees per second is equal to the radians per second multiplied by 57.29578.

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

Radians per second and degrees per second 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]}

## Degrees Per Second

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

Degrees per second can be abbreviated as *°/s*; for example, 1 degree per second can be written as 1 °/s.

## Radian Per Second to Degree Per Second Conversion Table

Radians Per Second | Degrees Per Second |
---|---|

1 rad/s | 57.3 °/s |

2 rad/s | 114.59 °/s |

3 rad/s | 171.89 °/s |

4 rad/s | 229.18 °/s |

5 rad/s | 286.48 °/s |

6 rad/s | 343.77 °/s |

7 rad/s | 401.07 °/s |

8 rad/s | 458.37 °/s |

9 rad/s | 515.66 °/s |

10 rad/s | 572.96 °/s |

11 rad/s | 630.25 °/s |

12 rad/s | 687.55 °/s |

13 rad/s | 744.85 °/s |

14 rad/s | 802.14 °/s |

15 rad/s | 859.44 °/s |

16 rad/s | 916.73 °/s |

17 rad/s | 974.03 °/s |

18 rad/s | 1,031 °/s |

19 rad/s | 1,089 °/s |

20 rad/s | 1,146 °/s |

21 rad/s | 1,203 °/s |

22 rad/s | 1,261 °/s |

23 rad/s | 1,318 °/s |

24 rad/s | 1,375 °/s |

25 rad/s | 1,432 °/s |

26 rad/s | 1,490 °/s |

27 rad/s | 1,547 °/s |

28 rad/s | 1,604 °/s |

29 rad/s | 1,662 °/s |

30 rad/s | 1,719 °/s |

31 rad/s | 1,776 °/s |

32 rad/s | 1,833 °/s |

33 rad/s | 1,891 °/s |

34 rad/s | 1,948 °/s |

35 rad/s | 2,005 °/s |

36 rad/s | 2,063 °/s |

37 rad/s | 2,120 °/s |

38 rad/s | 2,177 °/s |

39 rad/s | 2,235 °/s |

40 rad/s | 2,292 °/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