# Kilohertz to Radians per Second Converter

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

## Result 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:

radians per second = kilohertz × 6,283.185307

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.

## 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 103. Kilohertz can be abbreviated as kHZ; for example, 1 kilohertz can be written as 1 kHZ.

## 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.

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.

## Kilohertz to Radian per Second Conversion Table

Table showing various kilohertz measurements converted to radians per second.

## References

1. 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