Angular frequency converted by one revolution equals 2*pi radians.
Radians per second to Millihertz Converter — rad/s to mHz
Convert Radians per second (rad/s) to Millihertz (mHz) using the exact conversion factor (1 radians per second = 159.1549431 millihertz). See the formula, worked examples, and conversion table.
Radians per second to Millihertz 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.
Millihertz is 0.001 hertz units.
Result = input x 0.1591549431 / 0.001.
Frequency uses hertz as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Radians per second to Millihertz
Radians per second and Millihertz 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 millihertz is 0.001 hertz units.
Formula
millihertz = radians per second × 159.154943092
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 millihertz equals 0.001 base units, so dividing one by the other gives the direct radians per second-to-millihertz factor of 159.154943092.
Simple example
1 rad/s × 159.1549431 = 159.1549431 mHz
1 radians per second = 159.1549431 millihertz.
Real-world example
1,000 rad/s × 159.1549431 = 159,154.9431 mHz
1,000 radians per second = 159,154.9431 millihertz.
Conversion table
| Radians per second (rad/s) | Millihertz (mHz) |
|---|---|
| 60 rad/s | 9,549.296586 mHz |
| 600 rad/s | 95,492.96586 mHz |
| 1,000 rad/s | 159,154.9431 mHz |
| 3,000 rad/s | 477,464.8293 mHz |
| 6,000 rad/s | 954,929.6586 mHz |
| 10,000 rad/s | 1,591,549.431 mHz |
Reverse conversion: Millihertz to Radians per second
159.1549431 mHz × 0.006283185307 = 1 rad/s
159.1549431 millihertz = 1 radians per second.
radians per second = millihertz × 0.00628318530718
For a page dedicated to this direction, see Millihertz to Radians per second.
Understanding the Radians per second (rad/s)
Angular frequency converted by one revolution equals 2*pi radians.
Understanding the Millihertz (mHz)
Millihertz is 0.001 hertz units.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many millihertz are in 1 radians per second?
1 radians per second equals 159.1549431 millihertz, using the exact defined conversion factor rather than an estimate.
How do I convert radians per second to millihertz?
Multiply the radians per second value by 159.1549431. The converter above does this instantly to whatever precision you set.
How do I convert millihertz back to radians per second?
Use the reverse factor: 1 millihertz equals 0.0062831853 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 millihertz?
Millihertz (mHz) is a unit of frequency.
Is the radians per second to millihertz conversion exact?
Yes. Both radians per second and millihertz are defined by fixed standards rather than physical artifacts, so the factor of 159.1549431 used above is exact to as many digits as you choose to display.