Revolutions per Minute to Radians per Second Converter
Convert revolutions per minute (rpm) to radians per second (rad/s), 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 rpm = 0.10471975512 rad/s
- 1 × 0.10471975512 = 0.10471975512 rad/s
How to convert revolutions per minute to radians per second
1 rpm = 0.10471975512 rad/s, so multiply by 0.10471975512 to go from revolutions per minute to radians per second. Going the other way, 1 rad/s = 9.54929658551 rpm.
rad/s = rpm × 0.10471975512 rpm = rad/s × 9.54929658551
Worked example:
1 rpm = 0.10471975512 rad/s 5 × 0.10471975512 = 0.523598775598 rad/s
Revolutions per Minute to radians per second table
| Revolutions per Minute | Radians per Second |
|---|---|
| 1 rpm | 0.10471975512 rad/s |
| 2 rpm | 0.209439510239 rad/s |
| 3 rpm | 0.314159265359 rad/s |
| 4 rpm | 0.418879020479 rad/s |
| 5 rpm | 0.523598775598 rad/s |
| 6 rpm | 0.628318530718 rad/s |
| 7 rpm | 0.733038285838 rad/s |
| 8 rpm | 0.837758040957 rad/s |
| 9 rpm | 0.942477796077 rad/s |
| 10 rpm | 1.0471975512 rad/s |
| 15 rpm | 1.57079632679 rad/s |
| 20 rpm | 2.09439510239 rad/s |
| 25 rpm | 2.61799387799 rad/s |
| 30 rpm | 3.14159265359 rad/s |
| 40 rpm | 4.18879020479 rad/s |
| 50 rpm | 5.23598775598 rad/s |
| 75 rpm | 7.85398163397 rad/s |
| 100 rpm | 10.471975512 rad/s |
| 250 rpm | 26.1799387799 rad/s |
| 500 rpm | 52.3598775598 rad/s |
| 1000 rpm | 104.71975512 rad/s |
About the units
- Revolutions per Minute (rpm)
- Revolutions per minute, a specialised unit. Definition: NIST SP 811 Appendix B.8, factors for units listed alphabetically.
- 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).