To convert degrees per second to kilohertz, multiply by 2.777777778e-06. That factor is the whole relationship: both units measure frequency, so the conversion is a proportion with no offset and no substance-specific constant.
The angular-rate unit of gyroscopes, servos and camera pans. Thousands of cycles per second; the AM radio and audio-sampling range.
Rotational and angular are not interchangeable. One revolution per second is 1 Hz but 6.283 rad/s, because a revolution is 2π radians. Motor plates give rpm, control loops want rad/s, and the factor between them is not 60. Below the calculator there is a step table for the values people look up most, and a second table putting real frequency figures into kilohertz so the number you get has something to be compared against.
The formula
degrees per second- The amount you are converting, in degrees per second
2.77777777778e-06- The exact number of kilohertz in one degree per second
kilohertz- The converted result
How it works, step by step
- Enter the value in degrees per second.
- It is multiplied by 2.77777777778e-06, the exact factor between the two units.
- The answer is shown in kilohertz, with the reverse conversion beneath it.
- Check the reference table if you want a figure of comparable size.
Worked examples
A resting heart: 421 °/s in kilohertz
At 421 °/s (a resting heart), the same quantity in kilohertz is 421 × 2.77778e-06 = 0.00116944 kHz. One degree per second is 2.77778e-06 kilohertz, so the numbers shrink as expected.
An idling engine: 4790 °/s in kilohertz
At 4790 °/s (an idling engine), the same quantity in kilohertz is 4790 × 2.77778e-06 = 0.0133056 kHz. One degree per second is 2.77778e-06 kilohertz, so the numbers shrink as expected.
How to read your score
Frequently asked questions
How many kilohertz are in one degree per second?
Exactly 2.77777777778e-06. Every figure on this page is that one number multiplied by your input, so the only rounding is at the display step.
What is the formula to convert degrees per second to kilohertz?
kilohertz = degrees per second × 2.77777777778e-06. Reversed, degrees per second = kilohertz ÷ 2.77777777778e-06, which is the same as multiplying by 360,000.
Which is the bigger unit, the degree per second or the kilohertz?
The kilohertz. One degree per second is only 2.77778e-06 of a kilohertz, so it takes 360,000 degrees per second to make one kilohertz.
What does this quantity actually measure?
Both units measure frequency. That is why a single factor is enough: there is no temperature offset and no material property involved, unlike conversions that cross between different quantities.
What is a degree per second?
The angular-rate unit of gyroscopes, servos and camera pans.
What is a kilohertz?
Thousands of cycles per second; the AM radio and audio-sampling range.
Why does my answer differ from another converter?
Almost always because the other tool rounded the factor before multiplying. This page keeps full double precision through the calculation and rounds only for display, and it prints the factor it used so you can see where any difference came from.
Degrees Per Second to kilohertz reference tables
| Degrees Per Second | Kilohertz |
|---|---|
| 0.5 °/s | 1.38889e-06 kHz |
| 1 °/s | 2.77778e-06 kHz |
| 2 °/s | 5.55556e-06 kHz |
| 3 °/s | 8.33333e-06 kHz |
| 5 °/s | 1.38889e-05 kHz |
| 10 °/s | 2.77778e-05 kHz |
| 20 °/s | 5.55556e-05 kHz |
| 25 °/s | 6.94444e-05 kHz |
| 50 °/s | 0.000138889 kHz |
| 75 °/s | 0.000208333 kHz |
| 100 °/s | 0.000277778 kHz |
| 250 °/s | 0.000694444 kHz |
| 500 °/s | 0.00138889 kHz |
| 1000 °/s | 0.00277778 kHz |
| 5000 °/s | 0.0138889 kHz |
Exact factor: 1 degree per second = 2.77777777778e-06 kilohertz.
| Quantity | °/s | kHz |
|---|---|---|
| A resting heart | 421.2 °/s | 0.00117 kHz |
| An idling engine | 4788 °/s | 0.0133 kHz |
| Mains electricity | 1.8e+04 °/s | 0.05 kHz |
| Middle A | 1.584e+05 °/s | 0.44 kHz |
| An AM radio station | 3.6e+08 °/s | 1000 kHz |
| A Wi-Fi channel | 8.64e+11 °/s | 2.4e+06 kHz |
Published reference values, converted with the same factor this page uses.