# Kilohertz to Radians per Second Converter

Enter the frequency in kilohertz below to get the value converted to 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. 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.