Radians per second to Revolutions per minute
Convert radians per second to revolutions per minute (rad/s to rpm). 1 rad/s = 9.54929658551 rpm. Use the calculator, formula and conversion table.
How to convert radians per second to revolutions per minute
Multiply the amount in radians per second by 9.54929658551 to get revolutions per minute. The displayed factor and results are rounded to 12 significant digits.
rpm = rad/s × 9.54929658551Worked example
1 rad/s = 9.54929658551 rpm. 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.
Radians per second to Revolutions per minute table
| Radians per second (rad/s) | Revolutions per minute (rpm) |
|---|---|
| 0 | 0 |
| 1 | 9.54929658551 |
| 5 | 47.7464829276 |
| 10 | 95.4929658551 |
| 25 | 238.732414638 |
| 100 | 954.929658551 |
| 1,000 | 9,549.29658551 |
About this conversion
What is the formula for radians per second to revolutions per minute?
rpm = rad/s × 9.54929658551. Multiply the amount in radians per second by 9.54929658551 to get revolutions per minute. The displayed factor and results are rounded to 12 significant digits.
How do I convert back to radians per second?
Use the revolutions per minute to radians per second 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.