Convert RPM to Degrees per Second (rpm to °/s)
1 revolution per minute (rpm) = 6 degrees per second (°/s). 1 °/s = 0.1666666667 rpm. Example: 15 rpm = 15 × 6 = 90 °/s.
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1 rpm = 6 °/s
Type in either box. Scientific notation works: 1.5e-3.
Converting a list? Use the bulk revolution per minute to degree per second converter to paste a column from Excel.
How to Convert RPM to Degree per Second
- 1 rpm = 6 °/s
- 1 °/s = 0.1666666667 rpm
- Example: convert 15 rpm to °/s: 15 rpm = 15 × 6 °/s = 90 °/s
Formula
°/s = rpm × 6
Derivation from SI units:
- 1 rpm = 1/60 revolution per second = 1/60 Hz.
- 360°/s is one revolution per second, so 1 °/s = 1/360 Hz.
- 1 rpm = 0.01666666666667 Hz ÷ 0.002777777777778 Hz per °/s = 6 °/s
Both units are defined exactly, so the factor is exact. RPM definition: revolution per minute; Degree per Second definition: degree per second.
Worked examples
- A reading of 750 rpm converts to 4500 °/s.
750 rpm × 6 = 4500 °/s - A value of 1500 rpm is 9000 °/s.
1500 rpm × 6 = 9000 °/s
RPM to Degree per Second conversion table
| RPM | Degrees per Second (°/s) |
|---|---|
| 60 rpm | 360 °/s |
| 100 rpm | 600 °/s |
| 600 rpm | 3600 °/s |
| 750 rpm | 4500 °/s |
| 1000 rpm | 6000 °/s |
| 1450 rpm | 8700 °/s |
| 1500 rpm | 9000 °/s |
| 3000 rpm | 18000 °/s |
| 3600 rpm | 21600 °/s |
| 7200 rpm | 43200 °/s |
Where it's used
RPM are used for engine and motor speeds, 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.
RPM to other frequency units
| Conversion | 1 rpm equals |
|---|---|
| revolution per minute to degree per second | 6 °/s |
| revolution per minute to hertz | 0.01666666667 Hz |
| revolution per minute to megahertz | 1.666666667 × 10⁻⁸ MHz |
| revolution per minute to gigahertz | 1.666666667 × 10⁻¹¹ GHz |
| revolution per minute to kilohertz | 0.00001666666667 kHz |
| revolution per minute to radian per second | 0.1047197551 rad/s |
| revolution per minute to revolution per second | 0.01666666667 rps |
| revolution per minute to beat per minute | 1 bpm |
Show 1 more units
| revolution per minute to terahertz | 1.666666667 × 10⁻¹⁴ THz |
|---|
Frequently asked questions
How many degrees per second are in 1 revolution per minute?
1 rpm = 6 °/s.
How do I convert revolutions per minute to degrees per second?
Multiply the value in rpm by 6. For example, 15 rpm × 6 = 90 °/s.
Is the rpm to °/s 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 RPM to Degrees per Second (rpm to °/s). Retrieved October 25, 2026, from https://scientificconverters.com/frequency/rpm-to-degrees-per-second/
IEEE
Scientific Converters, "Convert RPM to Degrees per Second (rpm to °/s)," scientificconverters.com. Accessed: Oct. 25, 2026. [Online]. Available: https://scientificconverters.com/frequency/rpm-to-degrees-per-second/