Microhertz is 0.000001 hertz units.
Microhertz to Radians per second Converter — uHz to rad/s
Convert Microhertz (uHz) to Radians per second (rad/s) using the exact conversion factor (1 microhertz = 0.0000062832 radians per second). See the formula, worked examples, and conversion table.
Microhertz 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-6 / 0.1591549431.
Frequency uses hertz as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Microhertz to Radians per second
Microhertz 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: Microhertz is 0.000001 hertz units, and angular frequency converted by one revolution equals 2*pi radians.
Formula
radians per second = microhertz × 0.00000628318530718
This factor comes from each unit's defined relationship to the category's base unit: 1 microhertz equals 0.000001 base units, and 1 radians per second equals 0.159154943092 base units, so dividing one by the other gives the direct microhertz-to-radians per second factor of 0.00000628318530718.
Simple example
1 uHz × 0.000006283185307 = 0.0000062832 rad/s
1 microhertz = 0.0000062832 radians per second.
Real-world example
1,000 uHz × 0.000006283185307 = 0.0062831853 rad/s
1,000 microhertz = 0.0062831853 radians per second.
Conversion table
| Microhertz (uHz) | Radians per second (rad/s) |
|---|---|
| 60 uHz | 0.0003769911 rad/s |
| 600 uHz | 0.0037699112 rad/s |
| 1,000 uHz | 0.0062831853 rad/s |
| 3,000 uHz | 0.0188495559 rad/s |
| 6,000 uHz | 0.0376991118 rad/s |
| 10,000 uHz | 0.0628318531 rad/s |
Reverse conversion: Radians per second to Microhertz
0.0000062832 rad/s × 159154.9431 = 1.000002338 uHz
0.0000062832 radians per second = 1.000002338 microhertz.
microhertz = radians per second × 159154.943092
For a page dedicated to this direction, see Radians per second to Microhertz.
Understanding the Microhertz (uHz)
Microhertz is 0.000001 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 microhertz?
1 microhertz equals 0.0000062832 radians per second, using the exact defined conversion factor rather than an estimate.
How do I convert microhertz to radians per second?
Multiply the microhertz value by 0.000006283185307. The converter above does this instantly to whatever precision you set.
How do I convert radians per second back to microhertz?
Use the reverse factor: 1 radians per second equals 159,154.9431 microhertz. You can also use the swap control in the converter above to flip the direction instantly.
What is a microhertz?
Microhertz (uHz) is a unit of frequency.
What is a radians per second?
Radians per second (rad/s) is a unit of frequency.
Is the microhertz to radians per second conversion exact?
Yes. Both microhertz and radians per second are defined by fixed standards rather than physical artifacts, so the factor of 0.000006283185307 used above is exact to as many digits as you choose to display.