Convert Kilohertz to Degrees per Second (kHz to °/s)
1 kilohertz (kHz) = 360000 degrees per second (°/s). 1 °/s = 0.000002777777778 kHz. Example: 15 kHz = 15 × 360000 = 5400000 °/s.
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1 kHz = 360000 °/s
Type in either box. Scientific notation works: 1.5e-3.
Converting a list? Use the bulk kilohertz to degree per second converter to paste a column from Excel.
How to Convert Kilohertz to Degree per Second
- 1 kHz = 360000 °/s
- 1 °/s = 0.000002777777778 kHz
- Example: convert 15 kHz to °/s: 15 kHz = 15 × 360000 °/s = 5400000 °/s
Formula
°/s = kHz × 360000
Derivation from SI units:
- 1 kHz = 10³ Hz.
- 360°/s is one revolution per second, so 1 °/s = 1/360 Hz.
- 1 kHz = 1000 Hz ÷ 0.002777777777778 Hz per °/s = 360000 °/s
Both units are defined exactly, so the factor is exact. Kilohertz definition: kilohertz; Degree per Second definition: degree per second.
Worked examples
- A reading of 16 kHz converts to 5760000 °/s.
16 kHz × 360000 = 5760000 °/s - A value of 48 kHz is 17280000 °/s.
48 kHz × 360000 = 17280000 °/s
Kilohertz to Degree per Second conversion table
| Kilohertz (kHz) | Degrees per Second (°/s) |
|---|---|
| 1 kHz | 360000 °/s |
| 4 kHz | 1440000 °/s |
| 8 kHz | 2880000 °/s |
| 16 kHz | 5760000 °/s |
| 20 kHz | 7200000 °/s |
| 44.1 kHz | 15876000 °/s |
| 48 kHz | 17280000 °/s |
| 100 kHz | 36000000 °/s |
| 531 kHz | 191160000 °/s |
| 1600 kHz | 576000000 °/s |
Where it's used
Kilohertz are used for audio sample rates, while degrees per second appear in gyroscopes and IMU sensors (±250 to ±2000 dps). Both measure frequency and rotational speed, so the conversion is a fixed factor.
Kilohertz to other frequency units
| Conversion | 1 kHz equals |
|---|---|
| kilohertz to degree per second | 360000 °/s |
| kilohertz to hertz | 1000 Hz |
| kilohertz to megahertz | 0.001 MHz |
| kilohertz to gigahertz | 0.000001 GHz |
| kilohertz to revolution per minute | 60000 rpm |
| kilohertz to radian per second | 6283.185307 rad/s |
| kilohertz to revolution per second | 1000 rps |
| kilohertz to beat per minute | 60000 bpm |
Show 1 more units
| kilohertz to terahertz | 1 × 10⁻⁹ THz |
|---|
Frequently asked questions
How many degrees per second are in 1 kilohertz?
1 kHz = 360000 °/s.
How do I convert kilohertz to degrees per second?
Multiply the value in kHz by 360000. For example, 15 kHz × 360000 = 5400000 °/s.
Is the kHz to °/s conversion exact?
Yes. Both units are defined exactly, and 1 kHz is exactly 360000 °/s.
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 Kilohertz to Degrees per Second (kHz to °/s). Retrieved October 25, 2026, from https://scientificconverters.com/frequency/kilohertz-to-degrees-per-second/
IEEE
Scientific Converters, "Convert Kilohertz to Degrees per Second (kHz to °/s)," scientificconverters.com. Accessed: Oct. 25, 2026. [Online]. Available: https://scientificconverters.com/frequency/kilohertz-to-degrees-per-second/