# Degrees Per Second to Radians Per Second Conversion

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

**Results in Radians Per Second:**

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

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

Since one degree per second is equal to 0.017453 radians per second, you can use this simple formula to convert:

The frequency in radians per second is equal to the degrees per second multiplied by 0.017453.

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

Degrees per second and radians per second are both units used to measure frequency. Keep reading to learn more about each unit of measure.

## 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.

In formal expressions, the slash, or solidus (/), is used to separate units used to indicate division in an expression.^{[1]}

## 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.

## Degree Per Second to Radian Per Second Conversion Table

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

1 °/s | 0.017453 rad/s |

2 °/s | 0.034907 rad/s |

3 °/s | 0.05236 rad/s |

4 °/s | 0.069813 rad/s |

5 °/s | 0.087266 rad/s |

6 °/s | 0.10472 rad/s |

7 °/s | 0.122173 rad/s |

8 °/s | 0.139626 rad/s |

9 °/s | 0.15708 rad/s |

10 °/s | 0.174533 rad/s |

11 °/s | 0.191986 rad/s |

12 °/s | 0.20944 rad/s |

13 °/s | 0.226893 rad/s |

14 °/s | 0.244346 rad/s |

15 °/s | 0.261799 rad/s |

16 °/s | 0.279253 rad/s |

17 °/s | 0.296706 rad/s |

18 °/s | 0.314159 rad/s |

19 °/s | 0.331613 rad/s |

20 °/s | 0.349066 rad/s |

21 °/s | 0.366519 rad/s |

22 °/s | 0.383972 rad/s |

23 °/s | 0.401426 rad/s |

24 °/s | 0.418879 rad/s |

25 °/s | 0.436332 rad/s |

26 °/s | 0.453786 rad/s |

27 °/s | 0.471239 rad/s |

28 °/s | 0.488692 rad/s |

29 °/s | 0.506145 rad/s |

30 °/s | 0.523599 rad/s |

31 °/s | 0.541052 rad/s |

32 °/s | 0.558505 rad/s |

33 °/s | 0.575959 rad/s |

34 °/s | 0.593412 rad/s |

35 °/s | 0.610865 rad/s |

36 °/s | 0.628319 rad/s |

37 °/s | 0.645772 rad/s |

38 °/s | 0.663225 rad/s |

39 °/s | 0.680678 rad/s |

40 °/s | 0.698132 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