Gigahertz to Radians Per Second Conversion

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

Results in Radians Per Second:
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1 GHz = 6,283,185,306.8596 rad/s

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. One gigahertz is equal to 6,283,185,306.8596 radians per second, so 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 and radians per second are both units used to measure frequency. Keep reading to learn more about each unit of measure.


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

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.

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

In formal expressions, the slash, or solidus (/), is used to separate units used to indicate division in an expression.[1]

Gigahertz to Radian Per Second Conversion Table

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,