# Radians Per Second to Hertz Conversion

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

**Results in Hertz:**

## How to Convert Radians Per Second to Hertz

To convert a radian per second measurement to a hertz measurement, multiply the frequency by the conversion ratio. One radian per second is equal to 0.159155 hertz, so use this simple formula to convert:

The frequency in hertz is equal to the radians per second multiplied by 0.159155.

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

The following formula can also be used to convert the angular frequency in radians per second to frequency in hertz:

In other words, the frequency ƒ in hertz is equal to the angular frequency ω in radians per second divided by 2 times pi.

Radians per second and hertz 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]}

## Hertz

Hertz is formally defined as the frequency equalling one cycle per second.^{[2]}

The hertz is the SI derived unit for frequency in the metric system. Hertz can be abbreviated as *Hz*, for example 1 hertz can be written as 1 Hz.

Frequency in hertz can be expressed using the formula:
Hz = CyclesTime_{s}

## Radian Per Second to Hertz Conversion Table

Radians Per Second | Hertz |
---|---|

1 rad/s | 0.159155 Hz |

2 rad/s | 0.31831 Hz |

3 rad/s | 0.477465 Hz |

4 rad/s | 0.63662 Hz |

5 rad/s | 0.795775 Hz |

6 rad/s | 0.95493 Hz |

7 rad/s | 1.1141 Hz |

8 rad/s | 1.2732 Hz |

9 rad/s | 1.4324 Hz |

10 rad/s | 1.5915 Hz |

11 rad/s | 1.7507 Hz |

12 rad/s | 1.9099 Hz |

13 rad/s | 2.069 Hz |

14 rad/s | 2.2282 Hz |

15 rad/s | 2.3873 Hz |

16 rad/s | 2.5465 Hz |

17 rad/s | 2.7056 Hz |

18 rad/s | 2.8648 Hz |

19 rad/s | 3.0239 Hz |

20 rad/s | 3.1831 Hz |

21 rad/s | 3.3423 Hz |

22 rad/s | 3.5014 Hz |

23 rad/s | 3.6606 Hz |

24 rad/s | 3.8197 Hz |

25 rad/s | 3.9789 Hz |

26 rad/s | 4.138 Hz |

27 rad/s | 4.2972 Hz |

28 rad/s | 4.4563 Hz |

29 rad/s | 4.6155 Hz |

30 rad/s | 4.7746 Hz |

31 rad/s | 4.9338 Hz |

32 rad/s | 5.093 Hz |

33 rad/s | 5.2521 Hz |

34 rad/s | 5.4113 Hz |

35 rad/s | 5.5704 Hz |

36 rad/s | 5.7296 Hz |

37 rad/s | 5.8887 Hz |

38 rad/s | 6.0479 Hz |

39 rad/s | 6.207 Hz |

40 rad/s | 6.3662 Hz |

## 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
- National Institute of Standards and Technology, SI Units - Time, https://www.nist.gov/pml/weights-and-measures/si-units-time