Convert Cycles per Minute to Radians per Second
Convert cycles per minute to radians per second by entering a value below.
How to Convert Cycles per Minute to Radians per Second
The cycles per minute and radians per second are both units of frequency. 1 radians per second equals 9.5492965853 cycles per minute. This means to convert cycles per minute to radians per second, you divide by 9.5492965853.
Formula
Step-by-Step Example
Convert 5 CPM to radians per second:
We need to convert cycles per minute to radians per second
Since 1 rad/s = 9.5492965853 CPM, divide by 9.5492965853
5 ÷ 9.5492965853 = 0.5235987756
5 CPM = 0.5235987756 rad/s
Cycles per Minute to Radians per Second Conversion Table
Quick reference table for common cycles per minute to radians per second conversions. Click any value for detailed calculation.
| Cycles per Minute (CPM) | Radians per Second (rad/s) |
|---|---|
| 1 CPM | 0.1047197551 rad/s |
| 2 CPM | 0.2094395102 rad/s |
| 5 CPM | 0.5235987756 rad/s |
| 10 CPM | 1.0471975512 rad/s |
| 15 CPM | 1.5707963268 rad/s |
| 20 CPM | 2.0943951024 rad/s |
| 25 CPM | 2.617993878 rad/s |
| 50 CPM | 5.2359877561 rad/s |
| 100 CPM | 10.471975512 rad/s |
About These Units
Cycles per Minute (CPM)
Cycles per minute (CPM) equals revolutions per minute for oscillating motion. Industrial machinery, ventilators (12-20 CPM for adults), and breathing rates use CPM. Equivalent to RPM but typically for non-rotating oscillations.
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 cycles per minute to radians per second?
To convert cycles per minute to radians per second, divide the value by 9.5492965853. For example, 10 CPM = 1.0471975512 rad/s.
How many radians per second are in 1 cycles per minute?
1 cycles per minute equals 0.1047197551 radians per second.
What is the formula for cycles per minute to radians per second?
The formula is: rad/s = CPM ÷ 9.5492965853.