Gigahertz to Radians per Second Converter
Convert gigahertz (GHz) to radians per second (rad/s), with the formula, a conversion table and exact factors.
Change the values and press Calculate to work out your own figures.
Enter a frequency, choose its unit and the unit you want. The answer is exact until it is shown, and the same value appears in every other unit.
Show the working
- 1 GHz = 6283185307.18 rad/s
- 1 × 6283185307.18 = 6283185307.18 rad/s
How to convert gigahertz to radians per second
1 GHz = 6,283,185,307.18 rad/s, so multiply by 6,283,185,307.18 to go from gigahertz to radians per second. Going the other way, 1 rad/s = 1.59154943092 × 10⁻¹⁰ GHz.
rad/s = GHz × 6,283,185,307.18 GHz = rad/s × 1.59154943092
Worked example:
1 GHz = 6283185307.18 rad/s 5 × 6283185307.18 = 31415926535.9 rad/s
Gigahertz to radians per second table
| Gigahertz | Radians per Second |
|---|---|
| 1 GHz | 6,283,185,307.18 rad/s |
| 2 GHz | 12,566,370,614.4 rad/s |
| 3 GHz | 18,849,555,921.5 rad/s |
| 4 GHz | 25,132,741,228.7 rad/s |
| 5 GHz | 31,415,926,535.9 rad/s |
| 6 GHz | 37,699,111,843.1 rad/s |
| 7 GHz | 43,982,297,150.3 rad/s |
| 8 GHz | 50,265,482,457.4 rad/s |
| 9 GHz | 56,548,667,764.6 rad/s |
| 10 GHz | 62,831,853,071.8 rad/s |
| 15 GHz | 94,247,779,607.7 rad/s |
| 20 GHz | 125,663,706,144 rad/s |
| 25 GHz | 157,079,632,679 rad/s |
| 30 GHz | 188,495,559,215 rad/s |
| 40 GHz | 251,327,412,287 rad/s |
| 50 GHz | 314,159,265,359 rad/s |
| 75 GHz | 471,238,898,038 rad/s |
| 100 GHz | 628,318,530,718 rad/s |
| 250 GHz | 1,570,796,326,790 rad/s |
| 500 GHz | 3,141,592,653,590 rad/s |
| 1000 GHz | 6,283,185,307,180 rad/s |
About the units
- Gigahertz (GHz)
- Gigahertz, a metric unit. Definition: BIPM SI Brochure, 9th edition (SI units, prefixes and units accepted for use with the SI).
- Radians per Second (rad/s)
- Radians per second, a metric unit. Involves π, which no fraction equals exactly; this converter uses π to 50 significant digits, far beyond the 12 digits shown. Definition: BIPM SI Brochure, 9th edition (SI units, prefixes and units accepted for use with the SI).