Revolutions per second to Radians per second
Convert revolutions per second to radians per second (rev/s to rad/s). 1 rev/s = 6.28318530718 rad/s. Use the calculator, formula and conversion table.
How to convert revolutions per second to radians per second
Multiply the amount in revolutions per second by 6.28318530718 to get radians per second. The displayed factor and results are rounded to 12 significant digits.
rad/s = rev/s × 6.28318530718Worked example
1 rev/s = 6.28318530718 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 second to Radians per second table
| Revolutions per second (rev/s) | Radians per second (rad/s) |
|---|---|
| 0 | 0 |
| 1 | 6.28318530718 |
| 5 | 31.4159265359 |
| 10 | 62.8318530718 |
| 25 | 157.079632679 |
| 100 | 628.318530718 |
| 1,000 | 6,283.18530718 |
About this conversion
What is the formula for revolutions per second to radians per second?
rad/s = rev/s × 6.28318530718. Multiply the amount in revolutions per second by 6.28318530718 to get radians per second. The displayed factor and results are rounded to 12 significant digits.
How do I convert back to revolutions per second?
Use the radians per second to revolutions 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.