Gigahertz to Radians per Second Conversion (GHz to rad/s)

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:

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

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

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

References

National Institute of Standards and Technology, NIST Guide to the SI, Chapter 6: Rules and Style Conventions for Printing and Using Units, https://www.nist.gov/pml/special-publication-811/nist-guide-si-chapter-6-rules-and-style-conventions-printing-and-using