Radian per second to Revolution per minute Converter
1 radian per second is about 9.549296586 revolutions per minute. Convert radians per second (rad/s) to revolutions per minute (rpm) below: type a value and the result updates as you type.
rad/s to rpm calculator
Result
Radian per second to Revolution per minute conversion
1 rad/s ≈ 9.549296586 rpmone radian per second in revolutions per minute
1 rpm ≈ 0.1047197551 rad/sone revolution per minute in radians per second
Radian per second (rad/s): SI unit of angular velocity: a rotation of one radian every second.
Revolution per minute (rpm): One full turn every minute: 2π/60 rad/s. Used for engines, motors and drives.
Source:SI Brochure, 9th edition (BIPM, 2019)
How to convert radians per second to revolutions per minute
To convert radians per second to revolutions per minute, multiply the number of radians per second by about 9.549296586.
Formula
rpm = rad/s × 9.549296586
The factor is rounded here. The calculator uses the exact value.
Examples
- 5 rad/s = 5 × 9.549296586 ≈ 47.74648293 rpm
- 25 rad/s = 25 × 9.549296586 ≈ 238.7324146 rpm
- 100 rad/s = 100 × 9.549296586 ≈ 954.9296586 rpm
Radian per second to Revolution per minute conversion table
| Radian per second (rad/s) | Revolution per minute (rpm) |
|---|---|
| 0.1 rad/s | 0.9549296586 rpm |
| 0.5 rad/s | 4.774648293 rpm |
| 1 rad/s | 9.549296586 rpm |
| 2 rad/s | 19.09859317 rpm |
| 3 rad/s | 28.64788976 rpm |
| 5 rad/s | 47.74648293 rpm |
| 10 rad/s | 95.49296586 rpm |
| 20 rad/s | 190.9859317 rpm |
| 25 rad/s | 238.7324146 rpm |
| 50 rad/s | 477.4648293 rpm |
| 100 rad/s | 954.9296586 rpm |
| 250 rad/s | 2387.324146 rpm |
| 500 rad/s | 4774.648293 rpm |
| 1000 rad/s | 9549.296586 rpm |
Values rounded to 10 significant digits where needed.
Frequently asked questions
- How many revolutions per minute are in one radian per second?
- One radian per second is about 9.549296586 revolutions per minute.
- How do I convert revolutions per minute to radians per second?
- To convert revolutions per minute to radians per second, multiply the number of revolutions per minute by about 0.1047197551. The formula is rad/s = rpm × 0.1047197551.
- Is this conversion exact?
- Yes. Both units have exact definitions, but the factor has more decimal places than can be shown, so displayed results are rounded. The calculator works with 50 significant digits before rounding.
- Which is larger, a radian per second or a revolution per minute?
- A radian per second is about 9.549296586 times larger than a revolution per minute. In other words, a revolution per minute is about 0.1047197551 of a radian per second.