Use this revolutions-per-second to radians-per-second converter to change a revolution per second measurement into its radian 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 revolution per second?
Revolution per Second (rps) is a angular velocity unit.
What is a radian per second?
Radian per Second (rad/s) is a angular velocity unit.
Revolutions Per Second to Radians Per Second Converter formula
To convert revolutions per second to radians 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 revolutions-per-second to radians-per-second
Start with the revolution per second value, apply the formula, and round the result only after the calculation is complete.
Example: 10 rps = 62.8318530718 rad/s.
- 1 rps = 6.2831853072 rad/s
- 10 rps = 62.8318530718 rad/s
- 100 rps = 628.318530718 rad/s
Manual conversion steps
- Write down the value in revolutions per second.
- Use the conversion formula: radians per second = revolutions per second x 6.28318530718.
- Calculate the result in radians 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 revolutions-per-second to radians-per-second use cases
This conversion is useful in practical situations where measurements need to move between different unit systems or audiences.
- Convert revolutions per second to radians per second when you need equivalent measurements in another unit.
Common mistakes when converting revolutions-per-second to radians-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. revolutions-per-second to radians-per-second is not the same as radians-per-second to revolutions-per-second.
- Avoid rounding too early. Keep the full result during the calculation, then round the final answer.
Revolutions Per Second to Radians Per Second conversion table
| Revolution per Second | Radian per Second |
|---|---|
| 1 rps | 6.2831853072 rad/s |
| 5 rps | 31.4159265359 rad/s |
| 10 rps | 62.8318530718 rad/s |
| 25 rps | 157.079632679 rad/s |
| 50 rps | 314.159265359 rad/s |
| 100 rps | 628.318530718 rad/s |
How to convert radians-per-second to revolutions-per-second
To reverse the conversion, switch the two units in the calculator or open the reverse conversion page: radians-per-second to revolutions-per-second.
Reversing the units is useful when you already have a value in radians per second and need the equivalent value in revolutions per second.
How to use this revolutions-per-second to radians-per-second converter
- Enter the number you want to convert in the value field.
- Confirm that the from unit is Revolution per Second and the to unit is Radian 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 revolutions-per-second to radians-per-second?
The formula is: radians per second = revolutions per second x 6.28318530718.
How do I convert revolutions-per-second to radians-per-second by hand?
Write down the value in revolutions per second, apply the formula, and round the final result in radians 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.