# Gigahertz to Radians per Second Converter

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

## Result in Radians per Second:

Do you want to convert radians per second to gigahertz?

## How to Convert Gigahertz to Radians per Second

To convert a measurement in gigahertz to a measurement in radians per second, multiply the frequency by the following conversion ratio: 6,283,185,306.8596 radians per second/gigahertz.

Since one gigahertz is equal to 6,283,185,306.8596 radians per second, you can use this simple formula to convert:

radians per second = gigahertz × 6,283,185,306.8596

The frequency in radians per second is equal to the frequency in gigahertz multiplied by 6,283,185,306.8596.

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

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

There are 6,283,185,306.8596 radians per second in a gigahertz, which is why we use this value in the formula above.

## What Is a Gigahertz?

Gigahertz is a measure of frequency equal to one billion cycles per second.

The gigahertz is a multiple of the hertz, which is the SI derived unit for frequency. In the metric system, "giga" is the prefix for billions, or 109. Gigahertz can be abbreviated as GHz; for example, 1 gigahertz can be written as 1 GHz.

## 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.

## Gigahertz to Radian per Second Conversion Table

Table showing various gigahertz measurements converted to radians per second.