Radians per Second to Revolutions per Minute Converter
Convert radians per second (rad/s) to revolutions per minute (rpm), with the formula, a conversion table and exact factors.
Change the values and press Calculate to work out your own figures.
Enter a frequency, choose its unit and the unit you want. The answer is exact until it is shown, and the same value appears in every other unit.
Show the working
- 1 rad/s = 9.54929658551 rpm
- 1 × 9.54929658551 = 9.54929658551 rpm
How to convert radians per second to revolutions per minute
1 rad/s = 9.54929658551 rpm, so multiply by 9.54929658551 to go from radians per second to revolutions per minute. Going the other way, 1 rpm = 0.10471975512 rad/s.
rpm = rad/s × 9.54929658551 rad/s = rpm × 0.10471975512
Worked example:
1 rad/s = 9.54929658551 rpm 5 × 9.54929658551 = 47.7464829276 rpm
Radians per Second to revolutions per minute table
| Radians per Second | Revolutions per Minute |
|---|---|
| 1 rad/s | 9.54929658551 rpm |
| 2 rad/s | 19.098593171 rpm |
| 3 rad/s | 28.6478897565 rpm |
| 4 rad/s | 38.1971863421 rpm |
| 5 rad/s | 47.7464829276 rpm |
| 6 rad/s | 57.2957795131 rpm |
| 7 rad/s | 66.8450760986 rpm |
| 8 rad/s | 76.3943726841 rpm |
| 9 rad/s | 85.9436692696 rpm |
| 10 rad/s | 95.4929658551 rpm |
| 15 rad/s | 143.239448783 rpm |
| 20 rad/s | 190.98593171 rpm |
| 25 rad/s | 238.732414638 rpm |
| 30 rad/s | 286.478897565 rpm |
| 40 rad/s | 381.971863421 rpm |
| 50 rad/s | 477.464829276 rpm |
| 75 rad/s | 716.197243914 rpm |
| 100 rad/s | 954.929658551 rpm |
| 250 rad/s | 2,387.32414638 rpm |
| 500 rad/s | 4,774.64829276 rpm |
| 1000 rad/s | 9,549.29658551 rpm |
About the units
- Radians per Second (rad/s)
- Radians per second, a metric unit. Involves π, which no fraction equals exactly; this converter uses π to 50 significant digits, far beyond the 12 digits shown. Definition: BIPM SI Brochure, 9th edition (SI units, prefixes and units accepted for use with the SI).
- Revolutions per Minute (rpm)
- Revolutions per minute, a specialised unit. Definition: NIST SP 811 Appendix B.8, factors for units listed alphabetically.