Convert Degrees per Second to RPM (°/s to rpm)
1 degree per second (°/s) = 0.1666666667 revolutions per minute (rpm). 1 rpm = 6 °/s. Example: 15 °/s = 15 × 0.1666666667 = 2.5 rpm.
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1 °/s = 0.1666666667 rpm
Type in either box. Scientific notation works: 1.5e-3.
Converting a list? Use the bulk degree per second to revolution per minute converter to paste a column from Excel.
How to Convert Degree per Second to RPM
- 1 °/s = 0.1666666667 rpm
- 1 rpm = 6 °/s
- Example: convert 15 °/s to rpm: 15 °/s = 15 × 0.1666666667 rpm = 2.5 rpm
Formula
rpm = °/s × 0.1666666666667
or rpm = °/s ÷ 6
Derivation from SI units:
- 360°/s is one revolution per second, so 1 °/s = 1/360 Hz.
- 1 rpm = 1/60 revolution per second = 1/60 Hz.
- 1 °/s = 0.002777777777778 Hz ÷ 0.01666666666667 Hz per rpm = 0.1666666666667 rpm
Both units are defined exactly, so the factor is exact. Degree per Second definition: degree per second; RPM definition: revolution per minute.
Worked examples
- A reading of 30 °/s converts to 5 rpm.
30 °/s × 0.1666666667 = 5 rpm - A value of 250 °/s is 41.66666667 rpm.
250 °/s × 0.1666666667 = 41.66666667 rpm
Degree per Second to RPM conversion table
| Degrees per Second (°/s) | RPM |
|---|---|
| 1 °/s | 0.1666666667 rpm |
| 6 °/s | 1 rpm |
| 15 °/s | 2.5 rpm |
| 30 °/s | 5 rpm |
| 90 °/s | 15 rpm |
| 180 °/s | 30 rpm |
| 250 °/s | 41.66666667 rpm |
| 360 °/s | 60 rpm |
| 500 °/s | 83.33333333 rpm |
| 2000 °/s | 333.3333333 rpm |
Where it's used
Degrees per Second are used for gyroscopes and IMU sensors (±250 to ±2000 dps), while revolutions per minute appear in engine and motor speeds. 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 minute | 0.1666666667 rpm |
| 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 kilohertz | 0.000002777777778 kHz |
| degree per second to radian per second | 0.01745329252 rad/s |
| degree per second to revolution per second | 0.002777777778 rps |
| 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 minute are in 1 degree per second?
1 °/s = 0.1666666667 rpm.
How do I convert degrees per second to revolutions per minute?
Multiply the value in °/s by 0.1666666667, or divide it by 6. For example, 15 °/s × 0.1666666667 = 2.5 rpm.
Is the °/s to rpm 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). Convert Degrees per Second to RPM (°/s to rpm). Retrieved October 25, 2026, from https://scientificconverters.com/frequency/degrees-per-second-to-rpm/
IEEE
Scientific Converters, "Convert Degrees per Second to RPM (°/s to rpm)," scientificconverters.com. Accessed: Oct. 25, 2026. [Online]. Available: https://scientificconverters.com/frequency/degrees-per-second-to-rpm/