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
Scientific Units Converter
Convert SI derived units, scientific notation-friendly units, atomic units, and lab measurements.
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 units are compatible.
Reserved above the conversion cards and below the converter.
About Converting Millihertz to Radians per second
Millihertz and Radians per second are both scientific-measurement units, spanning everything from atomic and laboratory scales to astronomical distances — the kind of conversion that comes up constantly in physics, chemistry, and astronomy when a result needs to move between conventions used in different subfields. 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
10 mHz × 0.006283185307 = 0.0628318531 rad/s
10 millihertz = 0.0628318531 radians per second.
Conversion table
| Millihertz (mHz) | Radians per second (rad/s) |
|---|---|
| 0.001 mHz | 0.0000062832 rad/s |
| 0.01 mHz | 0.0000628319 rad/s |
| 1 mHz | 0.0062831853 rad/s |
| 10 mHz | 0.0628318531 rad/s |
| 100 mHz | 0.6283185307 rad/s |
| 1,000 mHz | 6.283185307 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 scientific units.
What is a radians per second?
Radians per second (rad/s) is a unit of scientific units.
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.
Why does this category span everything from atomic to astronomical scales?
Scientific work spans an enormous range of physical scales, from atomic distances (measured in angstroms or atomic mass units) to interstellar distances (measured in astronomical units or parsecs), so this category groups SI-derived and scale-specific units that researchers commonly need to convert between within their field.