Convert rad/s to RPM
Type the number of radians per second that you wish to convert to rpm.
How to Convert Radians per Second to RPM
The radians per second and revolutions per minute are both units of frequency. 1 radians per second equals 9.5492965853 rpm. This means to convert radians per second to rpm, you multiply by 9.5492965853.
Formula
Step-by-Step Example
Convert 5 rad/s to rpm:
We need to convert radians per second to rpm
Since 1 rad/s = 9.5492965853 RPM, multiply by 9.5492965853
5 × 9.5492965853 = 47.746482927
5 rad/s = 47.746482927 RPM
Radians per Second to Revolutions per Minute Conversion Table
Quick reference table for common radians per second to revolutions per minute conversions. Click any value for detailed calculation.
| Radians per Second (rad/s) | RPM (RPM) |
|---|---|
| 1 rad/s | 9.5492965853 RPM |
| 2 rad/s | 19.098593171 RPM |
| 5 rad/s | 47.746482927 RPM |
| 10 rad/s | 95.492965853 RPM |
| 15 rad/s | 143.23944878 RPM |
| 20 rad/s | 190.98593171 RPM |
| 25 rad/s | 238.73241463 RPM |
| 50 rad/s | 477.46482927 RPM |
| 100 rad/s | 954.92965853 RPM |
About These Units
Radians per Second (rad/s)
Radians per second (rad/s) is the SI unit of angular velocity. One complete rotation equals 2π radians per second (6.28 rad/s). Used in physics, robotics, and engineering calculations. Angular velocity ω relates to frequency f by ω = 2πf.
Revolutions per Minute (RPM)
Revolutions per minute (RPM) measures rotational speed. Car engines idle at 600-1000 RPM, redline at 5000-9000 RPM. Hard drives spin at 5400-15000 RPM. Washing machines spin at 400-1800 RPM. One RPM equals 1/60 Hz.
Frequently Asked Questions
How do I convert radians per second to rpm?
To convert radians per second to rpm, multiply the value by 9.5492965853. For example, 10 rad/s = 95.492965853 RPM.
How many rpm are in 1 radians per second?
1 radians per second equals 9.5492965853 rpm.
What is the formula for radians per second to rpm?
The formula is: RPM = rad/s × 9.5492965853.