# Kilohertz to Radians per Second Converter

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

**Results in Radians per Second:**

Do you want to convert radians per second to kilohertz?

## How to Convert Kilohertz to Radians per Second

To convert a measurement in kilohertz to a measurement in radians per second, multiply the frequency by the following conversion ratio: 6,283.185307 radians per second/kilohertz.

Since one kilohertz is equal to 6,283.185307 radians per second, you can use this simple formula to convert:

The frequency in radians per second is equal to the frequency in kilohertz multiplied by 6,283.185307.

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

### How Many Radians per Second Are in a Kilohertz?

There are **6,283.185307** radians per second in a kilohertz, which is why we use this value in the formula above.

1 kHZ = 6,283.185307 rad/s

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

## What is a Kilohertz?

Kilohertz is a measure of frequency equal to one thousand cycles per second.

The kilohertz is a multiple of the hertz, which is the SI derived unit for frequency. In the metric system, "kilo" is the prefix for thousands, or 10^{3}. Kilohertz can be abbreviated as *kHZ*; for example, 1 kilohertz can be written as 1 kHZ.

Learn more about kilohertz.

## 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.

## Kilohertz to Radian per Second Conversion Table

Kilohertz | Radians Per Second |
---|---|

0.001 kHZ | 6.2832 rad/s |

0.002 kHZ | 12.57 rad/s |

0.003 kHZ | 18.85 rad/s |

0.004 kHZ | 25.13 rad/s |

0.005 kHZ | 31.42 rad/s |

0.006 kHZ | 37.7 rad/s |

0.007 kHZ | 43.98 rad/s |

0.008 kHZ | 50.27 rad/s |

0.009 kHZ | 56.55 rad/s |

0.01 kHZ | 62.83 rad/s |

0.02 kHZ | 125.66 rad/s |

0.03 kHZ | 188.5 rad/s |

0.04 kHZ | 251.33 rad/s |

0.05 kHZ | 314.16 rad/s |

0.06 kHZ | 376.99 rad/s |

0.07 kHZ | 439.82 rad/s |

0.08 kHZ | 502.65 rad/s |

0.09 kHZ | 565.49 rad/s |

0.1 kHZ | 628.32 rad/s |

0.2 kHZ | 1,257 rad/s |

0.3 kHZ | 1,885 rad/s |

0.4 kHZ | 2,513 rad/s |

0.5 kHZ | 3,142 rad/s |

0.6 kHZ | 3,770 rad/s |

0.7 kHZ | 4,398 rad/s |

0.8 kHZ | 5,027 rad/s |

0.9 kHZ | 5,655 rad/s |

1 kHZ | 6,283 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

## More Kilohertz & Radian per Second Conversions

- kilohertz to hertz
- kilohertz to megahertz
- kilohertz to gigahertz
- kilohertz to terahertz
- kilohertz to cycles per second
- kilohertz to revolutions per minute
- kilohertz to degrees per second
- hertz to radians per second
- megahertz to radians per second
- gigahertz to radians per second
- terahertz to radians per second
- cycles per second to radians per second
- revolutions per minute to radians per second
- degrees per second to radians per second