Use this radians-per-second to rpm-angular converter to change a radian per second measurement into its revolution per minute 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 minute?
Revolution per Minute (rpm) is a angular velocity unit.
Radians Per Second to Rpm Angular Converter formula
To convert radians per second to revolutions per minute, use the formula below.
1 rad/s = 9.54929658551 rpm. This relationship is the conversion factor used by the calculator.
How to convert radians-per-second to rpm-angular
Start with the radian per second value, apply the formula, and round the result only after the calculation is complete.
Example: 10 rad/s = 95.4929658551 rpm.
- 1 rad/s = 9.5492965855 rpm
- 10 rad/s = 95.4929658551 rpm
- 100 rad/s = 954.929658551 rpm
Manual conversion steps
- Write down the value in radians per second.
- Use the conversion formula: revolutions per minute = radians per second x 9.54929658551.
- Calculate the result in revolutions per minute.
- 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 rpm-angular 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 minute when you need equivalent measurements in another unit.
Common mistakes when converting radians-per-second to rpm-angular
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 rpm-angular is not the same as rpm-angular to radians-per-second.
- Avoid rounding too early. Keep the full result during the calculation, then round the final answer.
Radians Per Second to Rpm Angular conversion table
| Radian per Second | Revolution per Minute |
|---|---|
| 1 rad/s | 9.5492965855 rpm |
| 5 rad/s | 47.7464829276 rpm |
| 10 rad/s | 95.4929658551 rpm |
| 25 rad/s | 238.732414638 rpm |
| 50 rad/s | 477.464829276 rpm |
| 100 rad/s | 954.929658551 rpm |
How to convert rpm-angular to radians-per-second
To reverse the conversion, switch the two units in the calculator or open the reverse conversion page: rpm-angular to radians-per-second.
Reversing the units is useful when you already have a value in revolutions per minute and need the equivalent value in radians per second.
How to use this radians-per-second to rpm-angular 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 Minute.
- 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 rpm-angular?
The formula is: revolutions per minute = radians per second x 9.54929658551.
How do I convert radians-per-second to rpm-angular by hand?
Write down the value in radians per second, apply the formula, and round the final result in revolutions per minute.
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.