Convert Radians per Second to Gigahertz (rad/s to GHz)
1 radian per second (rad/s) = 1.591549431 × 10⁻¹⁰ gigahertz (GHz). 1 GHz = 6283185307 rad/s. Example: 15 rad/s = 15 × 1.591549431 × 10⁻¹⁰ = 2.387324146 × 10⁻⁹ GHz.
Also searched as radians per second to GHz, radians per second in GHz, radians per second into gigahertz, rad/s to GHz, rad/s in gigahertz, rad/s into gigahertz, radian per second to gigahertz, rad/s to gigahertz converter and how many gigahertz in a radian per second.
1 rad/s = 1.591549431e-10 GHz
Type in either box. Scientific notation works: 1.5e-3.
Converting a list? Use the bulk radian per second to gigahertz converter to paste a column from Excel.
How to Convert Radian per Second to Gigahertz
- 1 rad/s = 1.591549431 × 10⁻¹⁰ GHz
- 1 GHz = 6283185307 rad/s
- Example: convert 15 rad/s to GHz: 15 rad/s = 15 × 1.591549431 × 10⁻¹⁰ GHz = 2.387324146 × 10⁻⁹ GHz
Formula
GHz = rad/s × 1.591549430919 × 10⁻¹⁰
or GHz = rad/s ÷ 6283185307.18
Derivation from SI units:
- ω = 2πf, so 1 rad/s = 1/(2π) Hz ≈ 0.159155 Hz.
- 1 GHz = 10⁹ Hz.
- 1 rad/s = 0.1591549430919 Hz ÷ 1000000000 Hz per GHz = 1.591549430919 × 10⁻¹⁰ GHz
Both units are defined exactly, so the factor is exact. Radian per Second definition: radian per second; Gigahertz definition: gigahertz.
Worked examples
- A reading of 6.28318 rad/s converts to 9.999991553 × 10⁻¹⁰ GHz.
6.28318 rad/s × 1.591549431 × 10⁻¹⁰ = 9.999991553 × 10⁻¹⁰ GHz - A value of 100 rad/s is 1.591549431 × 10⁻⁸ GHz.
100 rad/s × 1.591549431 × 10⁻¹⁰ = 1.591549431 × 10⁻⁸ GHz
Radian per Second to Gigahertz conversion table
| Radians per Second (rad/s) | Gigahertz (GHz) |
|---|---|
| 1 rad/s | 1.591549431 × 10⁻¹⁰ GHz |
| 2 rad/s | 3.183098862 × 10⁻¹⁰ GHz |
| 3.14159 rad/s | 4.999995777 × 10⁻¹⁰ GHz |
| 6.28318 rad/s | 9.999991553 × 10⁻¹⁰ GHz |
| 10 rad/s | 1.591549431 × 10⁻⁹ GHz |
| 50 rad/s | 7.957747155 × 10⁻⁹ GHz |
| 100 rad/s | 1.591549431 × 10⁻⁸ GHz |
| 314.159 rad/s | 4.999995777 × 10⁻⁸ GHz |
| 376.991 rad/s | 5.999998115 × 10⁻⁸ GHz |
| 1000 rad/s | 1.591549431 × 10⁻⁷ GHz |
Where it's used
Radians per Second are used for angular velocity in physics and dynamics, while gigahertz appear in CPU and GPU clock speeds. Both measure frequency and rotational speed, so the conversion is a fixed factor.
Radian per Second to other frequency units
| Conversion | 1 rad/s equals |
|---|---|
| radian per second to gigahertz | 1.591549431 × 10⁻¹⁰ GHz |
| radian per second to hertz | 0.1591549431 Hz |
| radian per second to megahertz | 1.591549431 × 10⁻⁷ MHz |
| radian per second to revolution per minute | 9.549296586 rpm |
| radian per second to kilohertz | 0.0001591549431 kHz |
| radian per second to revolution per second | 0.1591549431 rps |
| radian per second to degree per second | 57.29577951 °/s |
| radian per second to beat per minute | 9.549296586 bpm |
Show 1 more units
| radian per second to terahertz | 1.591549431 × 10⁻¹³ THz |
|---|
Frequently asked questions
How many gigahertz are in 1 radian per second?
1 rad/s = 1.591549431 × 10⁻¹⁰ GHz.
How do I convert radians per second to gigahertz?
Multiply the value in rad/s by 1.591549431 × 10⁻¹⁰, or divide it by 6283185307. For example, 15 rad/s × 1.591549431 × 10⁻¹⁰ = 2.387324146 × 10⁻⁹ GHz.
Is the rad/s to GHz 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 Radians per Second to Gigahertz (rad/s to GHz). Retrieved October 25, 2026, from https://scientificconverters.com/frequency/radians-per-second-to-gigahertz/
IEEE
Scientific Converters, "Convert Radians per Second to Gigahertz (rad/s to GHz)," scientificconverters.com. Accessed: Oct. 25, 2026. [Online]. Available: https://scientificconverters.com/frequency/radians-per-second-to-gigahertz/