Degrees per Second to Revolutions per Second (°/s to rps)
1 degree per second (°/s) = 0.002777777778 revolutions per second (rps). 1 rps = 360 °/s. Example: 15 °/s = 15 × 0.002777777778 = 0.04166666667 rps.
Also searched as degrees per second to rps, degrees per second in rps, degrees per second into revolutions per second, °/s to rps, °/s in revolutions per second, °/s into revolution per second, degree per second to revolution per second, °/s to revolutions per second converter and how many revolutions per second in a degree per second.
1 °/s = 0.002777777778 rps
Type in either box. Scientific notation works: 1.5e-3.
Converting a list? Use the bulk degree per second to revolution per second converter to paste a column from Excel.
How to Convert Degree per Second to Revolution per Second
- 1 °/s = 0.002777777778 rps
- 1 rps = 360 °/s
- Example: convert 15 °/s to rps: 15 °/s = 15 × 0.002777777778 rps = 0.04166666667 rps
Formula
rps = °/s ÷ 360
Derivation from SI units:
- 360°/s is one revolution per second, so 1 °/s = 1/360 Hz.
- 1 rev/s = 1 Hz.
- 1 °/s = 0.002777777777778 Hz ÷ 1 Hz per rps = 0.002777777777778 rps
Both units are defined exactly, so the factor is exact. Degree per Second definition: degree per second; Revolution per Second definition: revolution per second.
Worked examples
- A reading of 30 °/s converts to 0.08333333333 rps.
30 °/s × 0.002777777778 = 0.08333333333 rps - A value of 250 °/s is 0.6944444444 rps.
250 °/s × 0.002777777778 = 0.6944444444 rps
Degree per Second to Revolution per Second conversion table
| Degrees per Second (°/s) | Revolutions per Second (rps) |
|---|---|
| 1 °/s | 0.002777777778 rps |
| 6 °/s | 0.01666666667 rps |
| 15 °/s | 0.04166666667 rps |
| 30 °/s | 0.08333333333 rps |
| 90 °/s | 0.25 rps |
| 180 °/s | 0.5 rps |
| 250 °/s | 0.6944444444 rps |
| 360 °/s | 1 rps |
| 500 °/s | 1.388888889 rps |
| 2000 °/s | 5.555555556 rps |
Where it's used
Degrees per Second are used for gyroscopes and IMU sensors (±250 to ±2000 dps), while revolutions per second appear in turbines and centrifuges. Both measure frequency and rotational speed, so the conversion is a fixed factor.
Degree per Second to other frequency units
| Conversion | 1 °/s equals |
|---|---|
| degree per second to revolution per second | 0.002777777778 rps |
| degree per second to hertz | 0.002777777778 Hz |
| degree per second to megahertz | 2.777777778 × 10⁻⁹ MHz |
| degree per second to gigahertz | 2.777777778 × 10⁻¹² GHz |
| degree per second to revolution per minute | 0.1666666667 rpm |
| degree per second to kilohertz | 0.000002777777778 kHz |
| degree per second to radian per second | 0.01745329252 rad/s |
| degree per second to beat per minute | 0.1666666667 bpm |
Show 1 more units
| degree per second to terahertz | 2.777777778 × 10⁻¹⁵ THz |
|---|
Frequently asked questions
How many revolutions per second are in 1 degree per second?
1 °/s = 0.002777777778 rps.
How do I convert degrees per second to revolutions per second?
Multiply the value in °/s by 0.002777777778, or divide it by 360. For example, 15 °/s × 0.002777777778 = 0.04166666667 rps.
Is the °/s to rps 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). Degrees per Second to Revolutions per Second (°/s to rps). Retrieved October 25, 2026, from https://scientificconverters.com/frequency/degrees-per-second-to-revolutions-per-second/
IEEE
Scientific Converters, "Degrees per Second to Revolutions per Second (°/s to rps)," scientificconverters.com. Accessed: Oct. 25, 2026. [Online]. Available: https://scientificconverters.com/frequency/degrees-per-second-to-revolutions-per-second/