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
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.
Nanohertz is 1e-9 hertz units.
Result = input x 0.1591549431 / 1e-9.
Frequency uses hertz as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Radians per second to Nanohertz
Radians per second and Nanohertz 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: 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
1,000 rad/s × 159154943.1 = 159,154,943,100 nHz
1,000 radians per second = 159,154,943,100 nanohertz.
Conversion table
| Radians per second (rad/s) | Nanohertz (nHz) |
|---|---|
| 60 rad/s | 9,549,296,586 nHz |
| 600 rad/s | 95,492,965,860 nHz |
| 1,000 rad/s | 159,154,943,100 nHz |
| 3,000 rad/s | 477,464,829,300 nHz |
| 6,000 rad/s | 954,929,658,600 nHz |
| 10,000 rad/s | 1.591549e+12 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 frequency.
What is a nanohertz?
Nanohertz (nHz) is a unit of frequency.
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.