Angular frequency converted by one revolution equals 2*pi radians.
Radians per second to Nanohertz Converter — rad/s to nHz
Convert Radians per second (rad/s) to Nanohertz (nHz) using the exact conversion factor (1 radians per second = 159,154,943.1 nanohertz). See the formula, worked examples, and conversion table.
Radians per second to Nanohertz 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.
Nanohertz is 1e-9 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 Nanohertz
Radians per second and Nanohertz 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 nanohertz is 1e-9 hertz units.
Formula
nanohertz = radians per second × 159154943.092
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 nanohertz equals 1e-9 base units, so dividing one by the other gives the direct radians per second-to-nanohertz factor of 159154943.092.
Simple example
1 rad/s × 159154943.1 = 159,154,943.1 nHz
1 radians per second = 159,154,943.1 nanohertz.
Real-world example
10 rad/s × 159154943.1 = 1,591,549,431 nHz
10 radians per second = 1,591,549,431 nanohertz.
Conversion table
| Radians per second (rad/s) | Nanohertz (nHz) |
|---|---|
| 0.001 rad/s | 159,154.9431 nHz |
| 0.01 rad/s | 1,591,549.431 nHz |
| 1 rad/s | 159,154,943.1 nHz |
| 10 rad/s | 1,591,549,431 nHz |
| 100 rad/s | 15,915,494,310 nHz |
| 1,000 rad/s | 159,154,943,100 nHz |
Reverse conversion: Nanohertz to Radians per second
1 nHz × 6.283185e-9 = 6.283185e-9 rad/s
1 nanohertz = 6.283185e-9 radians per second.
radians per second = nanohertz × 6.283185e-9
For a page dedicated to this direction, see Nanohertz to Radians per second.
Understanding the Radians per second (rad/s)
Angular frequency converted by one revolution equals 2*pi radians.
Understanding the Nanohertz (nHz)
Nanohertz is 1e-9 hertz units.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many nanohertz are in 1 radians per second?
1 radians per second equals 159,154,943.1 nanohertz, using the exact defined conversion factor rather than an estimate.
How do I convert radians per second to nanohertz?
Multiply the radians per second value by 159154943.1. The converter above does this instantly to whatever precision you set.
How do I convert nanohertz back to radians per second?
Use the reverse factor: 1 nanohertz equals 6.283185e-9 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 nanohertz?
Nanohertz (nHz) is a unit of scientific units.
Is the radians per second to nanohertz conversion exact?
Yes. Both radians per second and nanohertz are defined by fixed standards rather than physical artifacts, so the factor of 159154943.1 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.