Use this radians-per-second to revolutions-per-second converter to change a radian per second measurement into its revolution per second equivalent. Enter a number in the calculator above and the result updates instantly.
Angular velocity conversions are useful for motors, rotating machinery, wheels, turbines, robotics, physics, and motion analysis.
What is a radian per second?
Radian per Second (rad/s) is a angular velocity unit.
What is a revolution per second?
Revolution per Second (rps) is a angular velocity unit.
Radians Per Second to Revolutions Per Second Converter formula
To convert radians per second to revolutions per second, use the formula below.
1 rps = 6.28318530718 rad/s. This relationship is the conversion factor used by the calculator.
How to convert radians-per-second to revolutions-per-second
Start with the radian per second value, apply the formula, and round the result only after the calculation is complete.
Example: 10 rad/s = 1.5915494309 rps.
- 1 rad/s = 0.1591549431 rps
- 10 rad/s = 1.5915494309 rps
- 100 rad/s = 15.9154943092 rps
Manual conversion steps
- Write down the value in radians per second.
- Use the conversion formula: revolutions per second = radians per second / 6.28318530718.
- Calculate the result in revolutions per second.
- Round the answer to the number of decimal places you need.
For quick checking, the converter above performs the same calculation automatically.
Common radians-per-second to revolutions-per-second use cases
This conversion is useful in practical situations where measurements need to move between different unit systems or audiences.
- Convert radians per second to revolutions per second when you need equivalent measurements in another unit.
Common mistakes when converting radians-per-second to revolutions-per-second
These are the most common issues to watch for when doing this conversion by hand.
- Do not mix up the direction of the conversion. radians-per-second to revolutions-per-second is not the same as revolutions-per-second to radians-per-second.
- Avoid rounding too early. Keep the full result during the calculation, then round the final answer.
Radians Per Second to Revolutions Per Second conversion table
| Radian per Second | Revolution per Second |
|---|---|
| 1 rad/s | 0.1591549431 rps |
| 5 rad/s | 0.7957747155 rps |
| 10 rad/s | 1.5915494309 rps |
| 25 rad/s | 3.9788735773 rps |
| 50 rad/s | 7.9577471546 rps |
| 100 rad/s | 15.9154943092 rps |
How to convert revolutions-per-second to radians-per-second
To reverse the conversion, switch the two units in the calculator or open the reverse conversion page: revolutions-per-second to radians-per-second.
Reversing the units is useful when you already have a value in revolutions per second and need the equivalent value in radians per second.
How to use this radians-per-second to revolutions-per-second converter
- Enter the number you want to convert in the value field.
- Confirm that the from unit is Radian per Second and the to unit is Revolution per Second.
- Read the converted result in the result box.
- Use the copy button if you want to paste the answer elsewhere.
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FAQ
What is the formula for radians-per-second to revolutions-per-second?
The formula is: revolutions per second = radians per second / 6.28318530718.
How do I convert radians-per-second to revolutions-per-second by hand?
Write down the value in radians per second, apply the formula, and round the final result in revolutions per second.
How accurate is this converter?
The converter uses standard conversion factors and shows rounded results for readability.
Can I reverse the conversion?
Yes. Use the swap button in the converter or open the related reverse conversion page.
Why do results sometimes have many decimal places?
Some unit conversions do not produce short decimal values. Keep more decimal places for technical work, and round the answer for everyday use.