Revolutions per Second to Degrees per Second (rps to °/s)
1 revolution per second (rps) = 360 degrees per second (°/s). 1 °/s = 0.002777777778 rps. Example: 15 rps = 15 × 360 = 5400 °/s.
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1 rps = 360 °/s
Type in either box. Scientific notation works: 1.5e-3.
Converting a list? Use the bulk revolution per second to degree per second converter to paste a column from Excel.
How to Convert Revolution per Second to Degree per Second
- 1 rps = 360 °/s
- 1 °/s = 0.002777777778 rps
- Example: convert 15 rps to °/s: 15 rps = 15 × 360 °/s = 5400 °/s
Formula
°/s = rps × 360
Derivation from SI units:
- 1 rev/s = 1 Hz.
- 360°/s is one revolution per second, so 1 °/s = 1/360 Hz.
- 1 rps = 1 Hz ÷ 0.002777777777778 Hz per °/s = 360 °/s
Both units are defined exactly, so the factor is exact. Revolution per Second definition: revolution per second; Degree per Second definition: degree per second.
Worked examples
- A reading of 10 rps converts to 3600 °/s.
10 rps × 360 = 3600 °/s - A value of 100 rps is 36000 °/s.
100 rps × 360 = 36000 °/s
Revolution per Second to Degree per Second conversion table
| Revolutions per Second (rps) | Degrees per Second (°/s) |
|---|---|
| 1 rps | 360 °/s |
| 5 rps | 1800 °/s |
| 10 rps | 3600 °/s |
| 25 rps | 9000 °/s |
| 50 rps | 18000 °/s |
| 100 rps | 36000 °/s |
| 200 rps | 72000 °/s |
| 1000 rps | 360000 °/s |
Where it's used
Revolutions per Second are used for turbines and centrifuges, 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.
Revolution per Second to other frequency units
| Conversion | 1 rps equals |
|---|---|
| revolution per second to degree per second | 360 °/s |
| revolution per second to hertz | 1 Hz |
| revolution per second to megahertz | 0.000001 MHz |
| revolution per second to gigahertz | 1 × 10⁻⁹ GHz |
| revolution per second to revolution per minute | 60 rpm |
| revolution per second to kilohertz | 0.001 kHz |
| revolution per second to radian per second | 6.283185307 rad/s |
| revolution per second to beat per minute | 60 bpm |
Show 1 more units
| revolution per second to terahertz | 1 × 10⁻¹² THz |
|---|
Frequently asked questions
How many degrees per second are in 1 revolution per second?
1 rps = 360 °/s.
How do I convert revolutions per second to degrees per second?
Multiply the value in rps by 360. For example, 15 rps × 360 = 5400 °/s.
Is the rps to °/s conversion exact?
Yes. Both units are defined exactly, and 1 rps 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). Revolutions per Second to Degrees per Second (rps to °/s). Retrieved October 25, 2026, from https://scientificconverters.com/frequency/revolutions-per-second-to-degrees-per-second/
IEEE
Scientific Converters, "Revolutions per Second to Degrees per Second (rps to °/s)," scientificconverters.com. Accessed: Oct. 25, 2026. [Online]. Available: https://scientificconverters.com/frequency/revolutions-per-second-to-degrees-per-second/