Radians per second to rpm converter
Convert radians per second (rad/s) to rpm (rpm). Calculate a value, check the formula and compare common measurements.
Result for the values shown.
Calculations run in your browser.
What to enter
| Input | Meaning and units |
|---|---|
| Value | Enter value using the definition in the method and example. |
| From | Select the unit or currency in which the entered number is currently expressed. |
| To | Select the unit or currency you need for the answer. |
Understanding your result
The converted value describes the same frequency quantity in the selected target unit. Display rounding does not add precision to the original measurement.
Common mistakes
- Confusing the source and target units, or overlooking a prefix or case-sensitive symbol.
Check your calculation
- Convert to the target unit and then reverse the direction. Within display rounding, you should recover the original value.
Read the frequency measurement guide · Calculation checks, sources and review limits
How do I convert radians per second to rpm?
Enter the value in radians per second to find the same frequency quantity in rpm. The number changes to match the unit; the underlying quantity stays the same. Check the definitions below when a unit has more than one convention.
Common uses
- Compare cycle rates expressed in different units.
- Translate rotational rates or angular frequency to cycles per second.
How it works
For the displayed direction, 1 rad/s equals 9.54929658551 rpm. The engine converts through the shared frequency base quantity. A revolution or beat is one cycle. Angular frequency in rad/s divides by 2π to obtain cycles per second. The multiplier is derived from the two centralized unit factors. Keep full precision until the final result; displayed answers use up to 12 significant digits.
Worked example
10 rad/s converts to 95.4929658551 rpm. For the reverse direction, swap the units and enter 95.4929658551 rpm; the result is approximately 10 rad/s.
FAQ
How do I convert rad/s to rpm?
rpm = rad/s × 9.54929658551
Which definition is used?
A revolution or beat is one cycle. Angular frequency in rad/s divides by 2π to obtain cycles per second.
Common values
Use “Swap units” above for the reverse conversion. Values below are rounded to six significant digits.
| radians per second | rpm |
|---|---|
| 1 | 9.5493 |
| 5 | 47.7465 |
| 10 | 95.493 |
| 20 | 190.986 |
| 30 | 286.479 |
| 50 | 477.465 |
| 100 | 954.93 |