# Gigahertz to Radians Per Second Conversion

Enter the frequency in gigahertz below to get the value converted to radians per second. ## How to Convert Gigahertz to Radians Per Second

To convert a gigahertz measurement to a radian per second measurement, multiply the frequency by the conversion ratio.

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 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.
5 GHz = (5 × 6,283,185,306.8596) = 31,415,926,534.298 rad/s

## 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 109. Gigahertz can be abbreviated as GHz; for example, 1 gigahertz can be written as 1 GHz.

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.

In formal expressions, the slash, or solidus (/), is used to separate units used to indicate division in an expression.

## Gigahertz to Radian Per Second Conversion Table

Gigahertz measurements converted to radians per second