Angular frequency converted by one revolution equals 2*pi radians.
Radians per second to Kilohertz Converter — rad/s to kHz
Convert Radians per second (rad/s) to Kilohertz (kHz) using the exact conversion factor (1 radians per second = 0.0001591549 kilohertz). See the formula, worked examples, and conversion table.
Radians per second to Kilohertz 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.
Kilohertz is 1000 hertz units.
Result = input x 0.1591549431 / 1000.
Frequency units are compatible.
Reserved above the conversion cards and below the converter.
About Converting Radians per second to Kilohertz
Radians per second and Kilohertz 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: Angular frequency converted by one revolution equals 2*pi radians, and kilohertz is 1000 hertz units.
Formula
kilohertz = radians per second × 0.000159154943092
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 kilohertz equals 1000 base units, so dividing one by the other gives the direct radians per second-to-kilohertz factor of 0.000159154943092.
Simple example
1 rad/s × 0.0001591549431 = 0.0001591549 kHz
1 radians per second = 0.0001591549 kilohertz.
Real-world example
10 rad/s × 0.0001591549431 = 0.0015915494 kHz
10 radians per second = 0.0015915494 kilohertz.
Conversion table
| Radians per second (rad/s) | Kilohertz (kHz) |
|---|---|
| 0.001 rad/s | 1.591549e-7 kHz |
| 0.01 rad/s | 0.0000015915 kHz |
| 1 rad/s | 0.0001591549 kHz |
| 10 rad/s | 0.0015915494 kHz |
| 100 rad/s | 0.0159154943 kHz |
| 1,000 rad/s | 0.1591549431 kHz |
Reverse conversion: Kilohertz to Radians per second
0.0001591549 kHz × 6283.185307 = 0.9999997292 rad/s
0.0001591549 kilohertz = 0.9999997292 radians per second.
radians per second = kilohertz × 6283.18530718
For a page dedicated to this direction, see Kilohertz to Radians per second.
Understanding the Radians per second (rad/s)
Angular frequency converted by one revolution equals 2*pi radians.
Understanding the Kilohertz (kHz)
Kilohertz is 1000 hertz units.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many kilohertz are in 1 radians per second?
1 radians per second equals 0.0001591549 kilohertz, using the exact defined conversion factor rather than an estimate.
How do I convert radians per second to kilohertz?
Multiply the radians per second value by 0.0001591549431. The converter above does this instantly to whatever precision you set.
How do I convert kilohertz back to radians per second?
Use the reverse factor: 1 kilohertz equals 6,283.185307 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 scientific units.
What is a kilohertz?
Kilohertz (kHz) is a unit of scientific units.
Is the radians per second to kilohertz conversion exact?
Yes. Both radians per second and kilohertz are defined by fixed standards rather than physical artifacts, so the factor of 0.0001591549431 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.