Revolutions per minute to Radians per second
Convert revolutions per minute to radians per second (rpm to rad/s). 1 rpm = 0.10471975512 rad/s. Use the calculator, formula and conversion table.
How to convert revolutions per minute to radians per second
Multiply the amount in revolutions per minute by 0.10471975512 to get radians per second. The displayed factor and results are rounded to 12 significant digits.
rad/s = rpm × 0.10471975512Worked example
1 rpm = 0.10471975512 rad/s. Change the amount in the calculator above to use your own value.
Units and assumptions
Uses radians per second. One complete revolution is 2π radians or 360 degrees. This converts angular velocity, rather than treating a radian as a whole cycle. Negative values retain the direction of rotation. Values are rounded to 12 significant figures for display.
Calculator results use floating-point arithmetic and are rounded for display. The reference table below uses up to 12 significant digits.
Revolutions per minute to Radians per second table
| Revolutions per minute (rpm) | Radians per second (rad/s) |
|---|---|
| 0 | 0 |
| 1 | 0.10471975512 |
| 5 | 0.523598775598 |
| 10 | 1.0471975512 |
| 25 | 2.61799387799 |
| 100 | 10.471975512 |
| 1,000 | 104.71975512 |
About this conversion
What is the formula for revolutions per minute to radians per second?
rad/s = rpm × 0.10471975512. Multiply the amount in revolutions per minute by 0.10471975512 to get radians per second. The displayed factor and results are rounded to 12 significant digits.
How do I convert back to revolutions per minute?
Use the radians per second to revolutions per minute calculator to reverse this conversion. You can also use Swap units in the calculator above.
Can I use a different pair of units?
Choose another unit in the calculator, or open the angular velocity converter to browse all supported pairs.