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
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.
Kilohertz is 1000 hertz units.
Result = input x 0.1591549431 / 1000.
Frequency uses hertz as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Radians per second to Kilohertz
Radians per second and Kilohertz 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 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
1,000 rad/s × 0.0001591549431 = 0.1591549431 kHz
1,000 radians per second = 0.1591549431 kilohertz.
Conversion table
| Radians per second (rad/s) | Kilohertz (kHz) |
|---|---|
| 60 rad/s | 0.0095492966 kHz |
| 600 rad/s | 0.0954929659 kHz |
| 1,000 rad/s | 0.1591549431 kHz |
| 3,000 rad/s | 0.4774648293 kHz |
| 6,000 rad/s | 0.9549296586 kHz |
| 10,000 rad/s | 1.591549431 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 frequency.
What is a kilohertz?
Kilohertz (kHz) is a unit of frequency.
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.