Convert Radians per Second to Kilohertz (rad/s to kHz)
1 radian per second (rad/s) = 0.0001591549431 kilohertz (kHz). 1 kHz = 6283.185307 rad/s. Example: 15 rad/s = 15 × 0.0001591549431 = 0.002387324146 kHz.
Also searched as radians per second to kHz, radians per second in kHz, radians per second into kilohertz, rad/s to kHz, rad/s in kilohertz, rad/s into kilohertz, radian per second to kilohertz, rad/s to kilohertz converter and how many kilohertz in a radian per second.
1 rad/s = 0.0001591549431 kHz
Type in either box. Scientific notation works: 1.5e-3.
Converting a list? Use the bulk radian per second to kilohertz converter to paste a column from Excel.
How to Convert Radian per Second to Kilohertz
- 1 rad/s = 0.0001591549431 kHz
- 1 kHz = 6283.185307 rad/s
- Example: convert 15 rad/s to kHz: 15 rad/s = 15 × 0.0001591549431 kHz = 0.002387324146 kHz
Formula
kHz = rad/s × 0.0001591549430919
or kHz = rad/s ÷ 6283.18530718
Derivation from SI units:
- ω = 2πf, so 1 rad/s = 1/(2π) Hz ≈ 0.159155 Hz.
- 1 kHz = 10³ Hz.
- 1 rad/s = 0.1591549430919 Hz ÷ 1000 Hz per kHz = 0.0001591549430919 kHz
Both units are defined exactly, so the factor is exact. Radian per Second definition: radian per second; Kilohertz definition: kilohertz.
Worked examples
- A reading of 6.28318 rad/s converts to 0.0009999991553 kHz.
6.28318 rad/s × 0.0001591549431 = 0.0009999991553 kHz - A value of 100 rad/s is 0.01591549431 kHz.
100 rad/s × 0.0001591549431 = 0.01591549431 kHz
Radian per Second to Kilohertz conversion table
| Radians per Second (rad/s) | Kilohertz (kHz) |
|---|---|
| 1 rad/s | 0.0001591549431 kHz |
| 2 rad/s | 0.0003183098862 kHz |
| 3.14159 rad/s | 0.0004999995777 kHz |
| 6.28318 rad/s | 0.0009999991553 kHz |
| 10 rad/s | 0.001591549431 kHz |
| 50 rad/s | 0.007957747155 kHz |
| 100 rad/s | 0.01591549431 kHz |
| 314.159 rad/s | 0.04999995777 kHz |
| 376.991 rad/s | 0.05999998115 kHz |
| 1000 rad/s | 0.1591549431 kHz |
Where it's used
Radians per Second are used for angular velocity in physics and dynamics, while kilohertz appear in audio sample rates. Both measure frequency and rotational speed, so the conversion is a fixed factor.
Radian per Second to other frequency units
| Conversion | 1 rad/s equals |
|---|---|
| radian per second to kilohertz | 0.0001591549431 kHz |
| radian per second to hertz | 0.1591549431 Hz |
| radian per second to megahertz | 1.591549431 × 10⁻⁷ MHz |
| radian per second to gigahertz | 1.591549431 × 10⁻¹⁰ GHz |
| radian per second to revolution per minute | 9.549296586 rpm |
| radian per second to revolution per second | 0.1591549431 rps |
| radian per second to degree per second | 57.29577951 °/s |
| radian per second to beat per minute | 9.549296586 bpm |
Show 1 more units
| radian per second to terahertz | 1.591549431 × 10⁻¹³ THz |
|---|
Frequently asked questions
How many kilohertz are in 1 radian per second?
1 rad/s = 0.0001591549431 kHz.
How do I convert radians per second to kilohertz?
Multiply the value in rad/s by 0.0001591549431, or divide it by 6283.185307. For example, 15 rad/s × 0.0001591549431 = 0.002387324146 kHz.
Is the rad/s to kHz conversion exact?
Yes. Both units are defined exactly, so the ratio is exact; its decimal form does not terminate and is shown here to 10 significant figures (more with the precision selector).
Sources
- The International System of Units (SI), 9th edition (SI Brochure), Bureau International des Poids et Mesures , Table 7 (SI prefixes); hertz, Table 4.
Last reviewed: . Factors are stored exactly and computed with 50-digit decimal arithmetic. See how we verify conversion factors.
Cite this page
APA
Scientific Converters. (2026, October 15). Convert Radians per Second to Kilohertz (rad/s to kHz). Retrieved October 25, 2026, from https://scientificconverters.com/frequency/radians-per-second-to-kilohertz/
IEEE
Scientific Converters, "Convert Radians per Second to Kilohertz (rad/s to kHz)," scientificconverters.com. Accessed: Oct. 25, 2026. [Online]. Available: https://scientificconverters.com/frequency/radians-per-second-to-kilohertz/