Convert Hertz to Degrees per Second (Hz to °/s)
1 hertz (Hz) = 360 degrees per second (°/s). 1 °/s = 0.002777777778 Hz. Example: 15 Hz = 15 × 360 = 5400 °/s.
Also searched as hertz to °/s, hertz in °/s, hertz into degrees per second, Hz to °/s, Hz in degrees per second, Hz into degree per second, hertz to degree per second, Hz to degrees per second converter and how many degrees per second in a hertz.
1 Hz = 360 °/s
Type in either box. Scientific notation works: 1.5e-3.
Converting a list? Use the bulk hertz to degree per second converter to paste a column from Excel.
How to Convert Hertz to Degree per Second
- 1 Hz = 360 °/s
- 1 °/s = 0.002777777778 Hz
- Example: convert 15 Hz to °/s: 15 Hz = 15 × 360 °/s = 5400 °/s
Formula
°/s = Hz × 360
Derivation from SI units:
- 1 Hz = 1 s⁻¹, one cycle per second.
- 360°/s is one revolution per second, so 1 °/s = 1/360 Hz.
Both units are defined exactly, so the factor is exact. Hertz definition: hertz; Degree per Second definition: degree per second.
Worked examples
- A reading of 50 Hz converts to 18000 °/s.
50 Hz × 360 = 18000 °/s - A value of 440 Hz is 158400 °/s.
440 Hz × 360 = 158400 °/s
Hertz to Degree per Second conversion table
| Hertz (Hz) | Degrees per Second (°/s) |
|---|---|
| 1 Hz | 360 °/s |
| 10 Hz | 3600 °/s |
| 50 Hz | 18000 °/s |
| 60 Hz | 21600 °/s |
| 100 Hz | 36000 °/s |
| 440 Hz | 158400 °/s |
| 1000 Hz | 360000 °/s |
| 20000 Hz | 7200000 °/s |
Where it's used
Hertz are used for mains power (50/60 Hz), 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.
Hertz to other frequency units
| Conversion | 1 Hz equals |
|---|---|
| hertz to degree per second | 360 °/s |
| hertz to megahertz | 0.000001 MHz |
| hertz to gigahertz | 1 × 10⁻⁹ GHz |
| hertz to revolution per minute | 60 rpm |
| hertz to kilohertz | 0.001 kHz |
| hertz to radian per second | 6.283185307 rad/s |
| hertz to revolution per second | 1 rps |
| hertz to beat per minute | 60 bpm |
Show 1 more units
| hertz to terahertz | 1 × 10⁻¹² THz |
|---|
Frequently asked questions
How many degrees per second are in 1 hertz?
1 Hz = 360 °/s.
How do I convert hertz to degrees per second?
Multiply the value in Hz by 360. For example, 15 Hz × 360 = 5400 °/s.
Is the Hz to °/s conversion exact?
Yes. Both units are defined exactly, and 1 Hz is exactly 360 °/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 Hertz to Degrees per Second (Hz to °/s). Retrieved October 25, 2026, from https://scientificconverters.com/frequency/hertz-to-degrees-per-second/
IEEE
Scientific Converters, "Convert Hertz to Degrees per Second (Hz to °/s)," scientificconverters.com. Accessed: Oct. 25, 2026. [Online]. Available: https://scientificconverters.com/frequency/hertz-to-degrees-per-second/