Angular frequency converted by one revolution equals 2*pi radians.
Radians per second to Microhertz Converter — rad/s to uHz
Convert Radians per second (rad/s) to Microhertz (uHz) using the exact conversion factor (1 radians per second = 159,154.9431 microhertz). See the formula, worked examples, and conversion table.
Radians per second to Microhertz 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.
Microhertz is 0.000001 hertz units.
Result = input x 0.1591549431 / 1e-6.
Frequency uses hertz as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Radians per second to Microhertz
Radians per second and Microhertz 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 microhertz is 0.000001 hertz units.
Formula
microhertz = radians per second × 159154.943092
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 microhertz equals 0.000001 base units, so dividing one by the other gives the direct radians per second-to-microhertz factor of 159154.943092.
Simple example
1 rad/s × 159154.9431 = 159,154.9431 uHz
1 radians per second = 159,154.9431 microhertz.
Real-world example
1,000 rad/s × 159154.9431 = 159,154,943.1 uHz
1,000 radians per second = 159,154,943.1 microhertz.
Conversion table
| Radians per second (rad/s) | Microhertz (uHz) |
|---|---|
| 60 rad/s | 9,549,296.586 uHz |
| 600 rad/s | 95,492,965.86 uHz |
| 1,000 rad/s | 159,154,943.1 uHz |
| 3,000 rad/s | 477,464,829.3 uHz |
| 6,000 rad/s | 954,929,658.6 uHz |
| 10,000 rad/s | 1,591,549,431 uHz |
Reverse conversion: Microhertz to Radians per second
1 uHz × 0.000006283185307 = 0.0000062832 rad/s
1 microhertz = 0.0000062832 radians per second.
radians per second = microhertz × 0.00000628318530718
For a page dedicated to this direction, see Microhertz to Radians per second.
Understanding the Radians per second (rad/s)
Angular frequency converted by one revolution equals 2*pi radians.
Understanding the Microhertz (uHz)
Microhertz is 0.000001 hertz units.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many microhertz are in 1 radians per second?
1 radians per second equals 159,154.9431 microhertz, using the exact defined conversion factor rather than an estimate.
How do I convert radians per second to microhertz?
Multiply the radians per second value by 159154.9431. The converter above does this instantly to whatever precision you set.
How do I convert microhertz back to radians per second?
Use the reverse factor: 1 microhertz equals 0.0000062832 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 microhertz?
Microhertz (uHz) is a unit of frequency.
Is the radians per second to microhertz conversion exact?
Yes. Both radians per second and microhertz are defined by fixed standards rather than physical artifacts, so the factor of 159154.9431 used above is exact to as many digits as you choose to display.