Convert Gigahertz to Radians per Second (GHz to rad/s)
1 gigahertz (GHz) = 6283185307 radians per second (rad/s). 1 rad/s = 1.591549431 × 10⁻¹⁰ GHz. Example: 15 GHz = 15 × 6283185307 = 94247779610 rad/s.
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1 GHz = 6283185307 rad/s
Type in either box. Scientific notation works: 1.5e-3.
Converting a list? Use the bulk gigahertz to radian per second converter to paste a column from Excel.
How to Convert Gigahertz to Radian per Second
- 1 GHz = 6283185307 rad/s
- 1 rad/s = 1.591549431 × 10⁻¹⁰ GHz
- Example: convert 15 GHz to rad/s: 15 GHz = 15 × 6283185307 rad/s = 94247779610 rad/s
Formula
rad/s = GHz × 6283185307.18
Derivation from SI units:
- 1 GHz = 10⁹ Hz.
- ω = 2πf, so 1 rad/s = 1/(2π) Hz ≈ 0.159155 Hz.
- 1 GHz = 1000000000 Hz ÷ 0.1591549430919 Hz per rad/s = 6283185307.18 rad/s
Both units are defined exactly, so the factor is exact. Gigahertz definition: gigahertz; Radian per Second definition: radian per second.
Worked examples
- A reading of 3.5 GHz converts to 21991148580 rad/s.
3.5 GHz × 6283185307 = 21991148580 rad/s - A value of 5.8 GHz is 36442474780 rad/s.
5.8 GHz × 6283185307 = 36442474780 rad/s
Gigahertz to Radian per Second conversion table
| Gigahertz (GHz) | Radians per Second (rad/s) |
|---|---|
| 1 GHz | 6283185307 rad/s |
| 2.4 GHz | 15079644740 rad/s |
| 3 GHz | 18849555920 rad/s |
| 3.5 GHz | 21991148580 rad/s |
| 4 GHz | 25132741230 rad/s |
| 5 GHz | 31415926540 rad/s |
| 5.8 GHz | 36442474780 rad/s |
| 6 GHz | 37699111840 rad/s |
| 28 GHz | 175929188600 rad/s |
| 60 GHz | 376991118400 rad/s |
Where it's used
Gigahertz are used for CPU and GPU clock speeds, while radians per second appear in angular velocity in physics and dynamics. Both measure frequency and rotational speed, so the conversion is a fixed factor.
Gigahertz to other frequency units
| Conversion | 1 GHz equals |
|---|---|
| gigahertz to radian per second | 6283185307 rad/s |
| gigahertz to hertz | 1000000000 Hz |
| gigahertz to megahertz | 1000 MHz |
| gigahertz to revolution per minute | 60000000000 rpm |
| gigahertz to kilohertz | 1000000 kHz |
| gigahertz to revolution per second | 1000000000 rps |
| gigahertz to degree per second | 360000000000 °/s |
| gigahertz to beat per minute | 60000000000 bpm |
Show 1 more units
| gigahertz to terahertz | 0.001 THz |
|---|
Frequently asked questions
How many radians per second are in 1 gigahertz?
1 GHz = 6283185307 rad/s.
How do I convert gigahertz to radians per second?
Multiply the value in GHz by 6283185307. For example, 15 GHz × 6283185307 = 94247779610 rad/s.
Is the GHz to rad/s conversion exact?
Yes. Both units are defined exactly, so the ratio is exact; its decimal form does not terminate and is shown here to 10 significant figures (more with the precision selector).
Sources
- The International System of Units (SI), 9th edition (SI Brochure), Bureau International des Poids et Mesures , Table 7 (SI prefixes); hertz, Table 4.
Last reviewed: . Factors are stored exactly and computed with 50-digit decimal arithmetic. See how we verify conversion factors.
Cite this page
APA
Scientific Converters. (2026, October 15). Convert Gigahertz to Radians per Second (GHz to rad/s). Retrieved October 25, 2026, from https://scientificconverters.com/frequency/gigahertz-to-radians-per-second/
IEEE
Scientific Converters, "Convert Gigahertz to Radians per Second (GHz to rad/s)," scientificconverters.com. Accessed: Oct. 25, 2026. [Online]. Available: https://scientificconverters.com/frequency/gigahertz-to-radians-per-second/