Radians per Second to Revolutions per Second (rad/s to rps)
1 radian per second (rad/s) = 0.1591549431 revolutions per second (rps). 1 rps = 6.283185307 rad/s. Example: 15 rad/s = 15 × 0.1591549431 = 2.387324146 rps.
Also searched as radians per second to rps, radians per second in rps, radians per second into revolutions per second, rad/s to rps, rad/s in revolutions per second, rad/s into revolution per second, radian per second to revolution per second, rad/s to revolutions per second converter and how many revolutions per second in a radian per second.
1 rad/s = 0.1591549431 rps
Type in either box. Scientific notation works: 1.5e-3.
Converting a list? Use the bulk radian per second to revolution per second converter to paste a column from Excel.
How to Convert Radian per Second to Revolution per Second
- 1 rad/s = 0.1591549431 rps
- 1 rps = 6.283185307 rad/s
- Example: convert 15 rad/s to rps: 15 rad/s = 15 × 0.1591549431 rps = 2.387324146 rps
Formula
rps = rad/s × 0.1591549430919
or rps = rad/s ÷ 6.28318530718
Derivation from SI units:
- ω = 2πf, so 1 rad/s = 1/(2π) Hz ≈ 0.159155 Hz.
- 1 rev/s = 1 Hz.
- 1 rad/s = 0.1591549430919 Hz ÷ 1 Hz per rps = 0.1591549430919 rps
Both units are defined exactly, so the factor is exact. Radian per Second definition: radian per second; Revolution per Second definition: revolution per second.
Worked examples
- A reading of 6.28318 rad/s converts to 0.9999991553 rps.
6.28318 rad/s × 0.1591549431 = 0.9999991553 rps - A value of 100 rad/s is 15.91549431 rps.
100 rad/s × 0.1591549431 = 15.91549431 rps
Radian per Second to Revolution per Second conversion table
| Radians per Second (rad/s) | Revolutions per Second (rps) |
|---|---|
| 1 rad/s | 0.1591549431 rps |
| 2 rad/s | 0.3183098862 rps |
| 3.14159 rad/s | 0.4999995777 rps |
| 6.28318 rad/s | 0.9999991553 rps |
| 10 rad/s | 1.591549431 rps |
| 50 rad/s | 7.957747155 rps |
| 100 rad/s | 15.91549431 rps |
| 314.159 rad/s | 49.99995777 rps |
| 376.991 rad/s | 59.99998115 rps |
| 1000 rad/s | 159.1549431 rps |
Where it's used
Radians per Second are used for angular velocity in physics and dynamics, while revolutions per second appear in turbines and centrifuges. Both measure frequency and rotational speed, so the conversion is a fixed factor.
Radian per Second to other frequency units
| Conversion | 1 rad/s equals |
|---|---|
| radian per second to revolution per second | 0.1591549431 rps |
| radian per second to hertz | 0.1591549431 Hz |
| radian per second to megahertz | 1.591549431 × 10⁻⁷ MHz |
| radian per second to gigahertz | 1.591549431 × 10⁻¹⁰ GHz |
| radian per second to revolution per minute | 9.549296586 rpm |
| radian per second to kilohertz | 0.0001591549431 kHz |
| radian per second to degree per second | 57.29577951 °/s |
| radian per second to beat per minute | 9.549296586 bpm |
Show 1 more units
| radian per second to terahertz | 1.591549431 × 10⁻¹³ THz |
|---|
Frequently asked questions
How many revolutions per second are in 1 radian per second?
1 rad/s = 0.1591549431 rps.
How do I convert radians per second to revolutions per second?
Multiply the value in rad/s by 0.1591549431, or divide it by 6.283185307. For example, 15 rad/s × 0.1591549431 = 2.387324146 rps.
Is the rad/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). Radians per Second to Revolutions per Second (rad/s to rps). Retrieved October 25, 2026, from https://scientificconverters.com/frequency/radians-per-second-to-revolutions-per-second/
IEEE
Scientific Converters, "Radians per Second to Revolutions per Second (rad/s to rps)," scientificconverters.com. Accessed: Oct. 25, 2026. [Online]. Available: https://scientificconverters.com/frequency/radians-per-second-to-revolutions-per-second/