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:

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1 GHz = 6,283,185,306.8596 rad/s

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

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.

1 GHz = 6,283,185,306.8596 rad/s

Gigahertz and radians per second are both units used to measure frequency. Keep reading to learn more about each unit of measure.

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.

Learn more about gigahertz.

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.

Radians per second can be abbreviated as rad/s; for example, 1 radian per second can be written as 1 rad/s.

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.

Learn more about radians per second.

Gigahertz to Radian per Second Conversion Table

Table showing various gigahertz measurements converted to radians per second.
Gigahertz Radians Per Second
0.000000001 GHz 6.2832 rad/s
0.000000002 GHz 12.57 rad/s
0.000000003 GHz 18.85 rad/s
0.000000004 GHz 25.13 rad/s
0.000000005 GHz 31.42 rad/s
0.000000006 GHz 37.7 rad/s
0.000000007 GHz 43.98 rad/s
0.000000008 GHz 50.27 rad/s
0.000000009 GHz 56.55 rad/s
0.0000000001 GHz 0.628319 rad/s
0.000000001 GHz 6.2832 rad/s
0.00000001 GHz 62.83 rad/s
0.0000001 GHz 628.32 rad/s
0.000001 GHz 6,283 rad/s
0.00001 GHz 62,832 rad/s
0.0001 GHz 628,319 rad/s
0.001 GHz 6,283,185 rad/s
0.01 GHz 62,831,853 rad/s
0.1 GHz 628,318,531 rad/s
1 GHz 6,283,185,307 rad/s


  1. National Institute of Standards and Technology, NIST Guide to the SI, Chapter 6: Rules and Style Conventions for Printing and Using Units,

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