Convert RPM to rad/s
Input the number of rpm you want to convert to radians per second.
How to Convert RPM to Radians per Second
The revolutions per minute and radians per second are both units of frequency. 1 radians per second equals 9.5492965853 rpm. This means to convert rpm to radians per second, you divide by 9.5492965853.
Formula
Step-by-Step Example
Convert 5 RPM to radians per second:
We need to convert rpm to radians per second
Since 1 rad/s = 9.5492965853 RPM, divide by 9.5492965853
5 ÷ 9.5492965853 = 0.5235987756
5 RPM = 0.5235987756 rad/s
Revolutions per Minute to Radians per Second Conversion Table
Quick reference table for common revolutions per minute to radians per second conversions. Click any value for detailed calculation.
| RPM (RPM) | Radians per Second (rad/s) |
|---|---|
| 1 RPM | 0.1047197551 rad/s |
| 2 RPM | 0.2094395102 rad/s |
| 5 RPM | 0.5235987756 rad/s |
| 10 RPM | 1.0471975512 rad/s |
| 15 RPM | 1.5707963268 rad/s |
| 20 RPM | 2.0943951024 rad/s |
| 25 RPM | 2.617993878 rad/s |
| 50 RPM | 5.2359877561 rad/s |
| 100 RPM | 10.471975512 rad/s |
About These Units
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.
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.
Frequently Asked Questions
How do I convert rpm to radians per second?
To convert rpm to radians per second, divide the value by 9.5492965853. For example, 10 RPM = 1.0471975512 rad/s.
How many radians per second are in 1 revolutions per minute?
1 revolutions per minute equals 0.1047197551 radians per second.
What is the formula for rpm to radians per second?
The formula is: rad/s = RPM ÷ 9.5492965853.