Gigahertz to Radians per Second Converter
Enter the frequency in gigahertz below to convert it to radians per second.
Result in Radians per Second:
Do you want to convert radians per second to gigahertz?
On this page:
- Gigahertz to Radians per Second Converter
- How to Convert Gigahertz to Radians per Second
- How Many Radians per Second Are in a Gigahertz?
- What Is a Gigahertz?
- What Are Radians per Second?
- Gigahertz to Radian per Second Conversion Table
- References
- More Gigahertz & Radian per Second Conversions
- Convert from Gigahertz
- Convert to Radians per Second
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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
| 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