Rpm to radians per second converter
Convert rpm (rpm) to radians per second (rad/s). 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 rpm to radians per second?
Enter the value in rpm to find the same frequency quantity in radians per second. 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 rpm equals 0.10471975512 rad/s. 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 rpm converts to 1.0471975512 rad/s. For the reverse direction, swap the units and enter 1.0471975512 rad/s; the result is approximately 10 rpm.
FAQ
How do I convert rpm to rad/s?
rad/s = rpm × 0.10471975512
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.
| rpm | radians per second |
|---|---|
| 1 | 0.10472 |
| 5 | 0.523599 |
| 10 | 1.0472 |
| 20 | 2.0944 |
| 30 | 3.14159 |
| 50 | 5.23599 |
| 100 | 10.472 |