# Radians per Second to Gigahertz Converter

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

## Result in Gigahertz:

Hint: use a scientific notation calculator to convert E notation to decimal

Do you want to convert gigahertz to radians per second?

## How to Convert Radians per Second to Gigahertz

To convert a measurement in radians per second to a measurement in gigahertz, multiply the frequency by the following conversion ratio: 1.5915E-10 gigahertz/radian per second.

Since one radian per second is equal to 1.5915E-10 gigahertz, you can use this simple formula to convert:

gigahertz = radians per second × 1.5915E-10

The frequency in gigahertz is equal to the frequency in radians per second multiplied by 1.5915E-10.

For example, here's how to convert 5,000,000,000 radians per second to gigahertz using the formula above.
gigahertz = (5,000,000,000 rad/s × 1.5915E-10) = 0.795775 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.

## 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.

## Radian per Second to Gigahertz Conversion Table

Table showing various radian per second measurements converted to gigahertz.