Nanohertz is 1e-9 hertz units.
Nanohertz to Radians per second Converter — nHz to rad/s
Convert Nanohertz (nHz) to Radians per second (rad/s) using the exact conversion factor (1 nanohertz = 6.283185e-9 radians per second). See the formula, worked examples, and conversion table.
Nanohertz to Radians per second converter
Converter
Frequency Converter
Convert hertz, SI frequency prefixes, RPM, beats per minute, and angular frequency.
Context values
Some unit families need one extra value for a physically accurate result.
Angular frequency converted by one revolution equals 2*pi radians.
Result = input x 1e-9 / 0.1591549431.
Frequency uses hertz as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Nanohertz to Radians per second
Nanohertz and Radians per second both describe how fast something cycles or rotates, and the conversion is a routine part of reading a car tachometer or motor spec sheet against a scientific frequency figure. Specifically: Nanohertz is 1e-9 hertz units, and angular frequency converted by one revolution equals 2*pi radians.
Formula
radians per second = nanohertz × 6.283185e-9
This factor comes from each unit's defined relationship to the category's base unit: 1 nanohertz equals 1e-9 base units, and 1 radians per second equals 0.159154943092 base units, so dividing one by the other gives the direct nanohertz-to-radians per second factor of 6.283185e-9.
Simple example
1 nHz × 6.283185e-9 = 6.283185e-9 rad/s
1 nanohertz = 6.283185e-9 radians per second.
Real-world example
1,000 nHz × 6.283185e-9 = 0.0000062832 rad/s
1,000 nanohertz = 0.0000062832 radians per second.
Conversion table
| Nanohertz (nHz) | Radians per second (rad/s) |
|---|---|
| 60 nHz | 3.769911e-7 rad/s |
| 600 nHz | 0.0000037699 rad/s |
| 1,000 nHz | 0.0000062832 rad/s |
| 3,000 nHz | 0.0000188496 rad/s |
| 6,000 nHz | 0.0000376991 rad/s |
| 10,000 nHz | 0.0000628319 rad/s |
Reverse conversion: Radians per second to Nanohertz
6.283185e-9 rad/s × 159154943.1 = 0.9999999511 nHz
6.283185e-9 radians per second = 0.9999999511 nanohertz.
nanohertz = radians per second × 159154943.092
For a page dedicated to this direction, see Radians per second to Nanohertz.
Understanding the Nanohertz (nHz)
Nanohertz is 1e-9 hertz units.
Understanding the Radians per second (rad/s)
Angular frequency converted by one revolution equals 2*pi radians.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many radians per second are in 1 nanohertz?
1 nanohertz equals 6.283185e-9 radians per second, using the exact defined conversion factor rather than an estimate.
How do I convert nanohertz to radians per second?
Multiply the nanohertz value by 6.283185e-9. The converter above does this instantly to whatever precision you set.
How do I convert radians per second back to nanohertz?
Use the reverse factor: 1 radians per second equals 159,154,943.1 nanohertz. You can also use the swap control in the converter above to flip the direction instantly.
What is a nanohertz?
Nanohertz (nHz) is a unit of frequency.
What is a radians per second?
Radians per second (rad/s) is a unit of frequency.
Is the nanohertz to radians per second conversion exact?
Yes. Both nanohertz and radians per second are defined by fixed standards rather than physical artifacts, so the factor of 6.283185e-9 used above is exact to as many digits as you choose to display.