# Kilohertz to Radians Per Second Conversion

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

**Results in Radians Per Second:**

## How to Convert Kilohertz to Radians Per Second

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

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 kilohertz multiplied by 6,283.185307.

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

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

## 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 10^{3}. Kilohertz can be abbreviated as *kHZ*; for example, 1 kilohertz can be written as 1 kHZ.

## 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]}

## 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