Angular frequency converted by one revolution equals 2*pi radians.
Radians per second to Gigahertz Converter — rad/s to GHz
Convert Radians per second (rad/s) to Gigahertz (GHz) using the exact conversion factor (1 radians per second = 1.591549e-10 gigahertz). See the formula, worked examples, and conversion table.
Radians per second to Gigahertz converter
Converter
Scientific Units Converter
Convert SI derived units, scientific notation-friendly units, atomic units, and lab measurements.
Context values
Some unit families need one extra value for a physically accurate result.
Gigahertz is 1000000000 hertz units.
Result = input x 0.1591549431 / 1e+9.
Frequency units are compatible.
Reserved above the conversion cards and below the converter.
About Converting Radians per second to Gigahertz
Radians per second and Gigahertz are both scientific-measurement units, spanning everything from atomic and laboratory scales to astronomical distances — the kind of conversion that comes up constantly in physics, chemistry, and astronomy when a result needs to move between conventions used in different subfields. Specifically: Angular frequency converted by one revolution equals 2*pi radians, and gigahertz is 1000000000 hertz units.
Formula
gigahertz = radians per second × 1.591549e-10
This factor comes from each unit's defined relationship to the category's base unit: 1 radians per second equals 0.159154943092 base units, and 1 gigahertz equals 1000000000 base units, so dividing one by the other gives the direct radians per second-to-gigahertz factor of 1.591549e-10.
Simple example
1 rad/s × 1.591549e-10 = 1.591549e-10 GHz
1 radians per second = 1.591549e-10 gigahertz.
Real-world example
10 rad/s × 1.591549e-10 = 1.591549e-9 GHz
10 radians per second = 1.591549e-9 gigahertz.
Conversion table
| Radians per second (rad/s) | Gigahertz (GHz) |
|---|---|
| 0.001 rad/s | 1.591549e-13 GHz |
| 0.01 rad/s | 1.591549e-12 GHz |
| 1 rad/s | 1.591549e-10 GHz |
| 10 rad/s | 1.591549e-9 GHz |
| 100 rad/s | 1.591549e-8 GHz |
| 1,000 rad/s | 1.591549e-7 GHz |
Reverse conversion: Gigahertz to Radians per second
1.591549e-10 GHz × 6283185307 = 0.9999997292 rad/s
1.591549e-10 gigahertz = 0.9999997292 radians per second.
radians per second = gigahertz × 6283185307.18
For a page dedicated to this direction, see Gigahertz to Radians per second.
Understanding the Radians per second (rad/s)
Angular frequency converted by one revolution equals 2*pi radians.
Understanding the Gigahertz (GHz)
Gigahertz is 1000000000 hertz units.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many gigahertz are in 1 radians per second?
1 radians per second equals 1.591549e-10 gigahertz, using the exact defined conversion factor rather than an estimate.
How do I convert radians per second to gigahertz?
Multiply the radians per second value by 1.591549e-10. The converter above does this instantly to whatever precision you set.
How do I convert gigahertz back to radians per second?
Use the reverse factor: 1 gigahertz equals 6,283,185,307 radians per second. You can also use the swap control in the converter above to flip the direction instantly.
What is a radians per second?
Radians per second (rad/s) is a unit of scientific units.
What is a gigahertz?
Gigahertz (GHz) is a unit of scientific units.
Is the radians per second to gigahertz conversion exact?
Yes. Both radians per second and gigahertz are defined by fixed standards rather than physical artifacts, so the factor of 1.591549e-10 used above is exact to as many digits as you choose to display.
Why does this category span everything from atomic to astronomical scales?
Scientific work spans an enormous range of physical scales, from atomic distances (measured in angstroms or atomic mass units) to interstellar distances (measured in astronomical units or parsecs), so this category groups SI-derived and scale-specific units that researchers commonly need to convert between within their field.