# Convert Hertz to Radians Per Second

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

**Results in Radians Per Second:**

## How to Convert Hertz to Radians Per Second

To convert a hertz measurement to a radian per second measurement, multiply the frequency by the conversion ratio. One hertz is equal to 6.283185 radians per second, so use this simple formula to convert:

The frequency in radians per second is equal to the hertz multiplied by 6.283185.

**For example,**here's how to convert 5 hertz to radians per second 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 angular frequency ω in radians per second is equal to 2 times pi times the frequency ƒ in hertz.

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

## Hertz

Hertz is formally defined as the frequency equalling one cycle per second.

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}

## 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.

## Hertz Measurements and Equivalent Radian Per Second Conversions

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

1 Hz | 6.2832 rad/s |

2 Hz | 12.57 rad/s |

3 Hz | 18.85 rad/s |

4 Hz | 25.13 rad/s |

5 Hz | 31.42 rad/s |

6 Hz | 37.7 rad/s |

7 Hz | 43.98 rad/s |

8 Hz | 50.27 rad/s |

9 Hz | 56.55 rad/s |

10 Hz | 62.83 rad/s |

11 Hz | 69.12 rad/s |

12 Hz | 75.4 rad/s |

13 Hz | 81.68 rad/s |

14 Hz | 87.96 rad/s |

15 Hz | 94.25 rad/s |

16 Hz | 100.53 rad/s |

17 Hz | 106.81 rad/s |

18 Hz | 113.1 rad/s |

19 Hz | 119.38 rad/s |

20 Hz | 125.66 rad/s |

21 Hz | 131.95 rad/s |

22 Hz | 138.23 rad/s |

23 Hz | 144.51 rad/s |

24 Hz | 150.8 rad/s |

25 Hz | 157.08 rad/s |

26 Hz | 163.36 rad/s |

27 Hz | 169.65 rad/s |

28 Hz | 175.93 rad/s |

29 Hz | 182.21 rad/s |

30 Hz | 188.5 rad/s |

31 Hz | 194.78 rad/s |

32 Hz | 201.06 rad/s |

33 Hz | 207.35 rad/s |

34 Hz | 213.63 rad/s |

35 Hz | 219.91 rad/s |

36 Hz | 226.19 rad/s |

37 Hz | 232.48 rad/s |

38 Hz | 238.76 rad/s |

39 Hz | 245.04 rad/s |

40 Hz | 251.33 rad/s |

## More Hertz Frequency Conversions

**Frequency**

- Convert to Kilohertz
- 1 Hz is equal to 0.001 kilohertz
- Convert to Megahertz
- 1 Hz is equal to 1.0E-6 megahertz
- Convert to Gigahertz
- 1 Hz is equal to 1.0E-9 gigahertz
- Convert to Terahertz
- 1 Hz is equal to 1.0E-12 terahertz

**Angular Frequency**

- Convert to Cycles Per Second
- 1 Hz is equal to 1 cycles per second
- Convert to Revolutions Per Minute
- 1 Hz is equal to 60 revolutions per minute
- Convert to Degrees Per Second
- 1 Hz is equal to 360 degrees per second