Millihertz is 0.001 hertz units.
Millihertz to Radians per second Converter — mHz to rad/s
Convert Millihertz (mHz) to Radians per second (rad/s) using the exact conversion factor (1 millihertz = 0.0062831853 radians per second). See the formula, worked examples, and conversion table.
Millihertz 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 0.001 / 0.1591549431.
Frequency uses hertz as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Millihertz to Radians per second
Millihertz 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: Millihertz is 0.001 hertz units, and angular frequency converted by one revolution equals 2*pi radians.
Formula
radians per second = millihertz × 0.00628318530718
This factor comes from each unit's defined relationship to the category's base unit: 1 millihertz equals 0.001 base units, and 1 radians per second equals 0.159154943092 base units, so dividing one by the other gives the direct millihertz-to-radians per second factor of 0.00628318530718.
Simple example
1 mHz × 0.006283185307 = 0.0062831853 rad/s
1 millihertz = 0.0062831853 radians per second.
Real-world example
1,000 mHz × 0.006283185307 = 6.283185307 rad/s
1,000 millihertz = 6.283185307 radians per second.
Conversion table
| Millihertz (mHz) | Radians per second (rad/s) |
|---|---|
| 60 mHz | 0.3769911184 rad/s |
| 600 mHz | 3.769911184 rad/s |
| 1,000 mHz | 6.283185307 rad/s |
| 3,000 mHz | 18.84955592 rad/s |
| 6,000 mHz | 37.69911184 rad/s |
| 10,000 mHz | 62.83185307 rad/s |
Reverse conversion: Radians per second to Millihertz
0.0062831853 rad/s × 159.1549431 = 0.9999999989 mHz
0.0062831853 radians per second = 0.9999999989 millihertz.
millihertz = radians per second × 159.154943092
For a page dedicated to this direction, see Radians per second to Millihertz.
Understanding the Millihertz (mHz)
Millihertz is 0.001 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 millihertz?
1 millihertz equals 0.0062831853 radians per second, using the exact defined conversion factor rather than an estimate.
How do I convert millihertz to radians per second?
Multiply the millihertz value by 0.006283185307. The converter above does this instantly to whatever precision you set.
How do I convert radians per second back to millihertz?
Use the reverse factor: 1 radians per second equals 159.1549431 millihertz. You can also use the swap control in the converter above to flip the direction instantly.
What is a millihertz?
Millihertz (mHz) is a unit of frequency.
What is a radians per second?
Radians per second (rad/s) is a unit of frequency.
Is the millihertz to radians per second conversion exact?
Yes. Both millihertz and radians per second are defined by fixed standards rather than physical artifacts, so the factor of 0.006283185307 used above is exact to as many digits as you choose to display.