# Radians per Second to Degrees per Second Converter

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

**Results in Degrees per Second:**

Do you want to convert degrees per second to radians per second?

## How to Convert Radians per Second to Degrees per Second

To convert a measurement in radians per second to a measurement in degrees per second, multiply the frequency by the following conversion ratio: 57.29578 degrees per second/radian per second.

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

degrees per second = radians per second × 57.29578

The frequency in degrees per second is equal to the frequency in 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.

### How Many Degrees per Second Are in One Radian per Second?

There are **57.29578** degrees per second in one radian per second, which is why we use this value in the formula above.

1 rad/s = 57.29578 °/s

Radians per second and degrees per second 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 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.

Learn more about degrees per second.

## 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

## More Radian per Second & Degree per Second 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 revolutions per minute
- hertz to degrees per second
- kilohertz to degrees per second
- megahertz to degrees per second
- gigahertz to degrees per second
- terahertz to degrees per second
- cycles per second to degrees per second
- revolutions per minute to degrees per second