# Radians Per Second to Kilohertz Conversion

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

**Results in Kilohertz:**

## How to Convert Radians Per Second to Kilohertz

To convert a radian per second measurement to a kilohertz measurement, multiply the frequency by the conversion ratio. One radian per second is equal to 0.000159 kilohertz, so use this simple formula to convert:

The frequency in kilohertz is equal to the radians per second multiplied by 0.000159.

**For example,**here's how to convert 5,000 radians per second to kilohertz using the formula above.

Radians per second and kilohertz 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]}

## 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.

## Radian Per Second to Kilohertz Conversion Table

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

1 rad/s | 0.000159 kHZ |

2 rad/s | 0.000318 kHZ |

3 rad/s | 0.000477 kHZ |

4 rad/s | 0.000637 kHZ |

5 rad/s | 0.000796 kHZ |

6 rad/s | 0.000955 kHZ |

7 rad/s | 0.001114 kHZ |

8 rad/s | 0.001273 kHZ |

9 rad/s | 0.001432 kHZ |

10 rad/s | 0.001592 kHZ |

20 rad/s | 0.003183 kHZ |

30 rad/s | 0.004775 kHZ |

40 rad/s | 0.006366 kHZ |

50 rad/s | 0.007958 kHZ |

60 rad/s | 0.009549 kHZ |

70 rad/s | 0.011141 kHZ |

80 rad/s | 0.012732 kHZ |

90 rad/s | 0.014324 kHZ |

100 rad/s | 0.015915 kHZ |

200 rad/s | 0.031831 kHZ |

300 rad/s | 0.047746 kHZ |

400 rad/s | 0.063662 kHZ |

500 rad/s | 0.079577 kHZ |

600 rad/s | 0.095493 kHZ |

700 rad/s | 0.111408 kHZ |

800 rad/s | 0.127324 kHZ |

900 rad/s | 0.143239 kHZ |

1,000 rad/s | 0.159155 kHZ |

2,000 rad/s | 0.31831 kHZ |

3,000 rad/s | 0.477465 kHZ |

4,000 rad/s | 0.63662 kHZ |

5,000 rad/s | 0.795775 kHZ |

6,000 rad/s | 0.95493 kHZ |

7,000 rad/s | 1.1141 kHZ |

8,000 rad/s | 1.2732 kHZ |

9,000 rad/s | 1.4324 kHZ |

10,000 rad/s | 1.5915 kHZ |

## 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