Use this degrees-per-second to radians-per-second converter to change a degree 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 degree per second?
Degree per Second (deg/s) is a angular velocity unit.
What is a radian per second?
Radian per Second (rad/s) is a angular velocity unit.
Degrees Per Second to Radians Per Second Converter formula
To convert degrees per second to radians per second, use the formula below.
1 rad/s = 57.2957795131 deg/s. This relationship is the conversion factor used by the calculator.
How to convert degrees-per-second to radians-per-second
Start with the degree per second value, apply the formula, and round the result only after the calculation is complete.
Example: 10 deg/s = 0.1745329252 rad/s.
- 1 deg/s = 0.0174532925 rad/s
- 10 deg/s = 0.1745329252 rad/s
- 100 deg/s = 1.745329252 rad/s
Manual conversion steps
- Write down the value in degrees per second.
- Use the conversion formula: radians per second = degrees per second / 57.2957795131.
- 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 degrees-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 degrees per second to radians per second when you need equivalent measurements in another unit.
Common mistakes when converting degrees-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. degrees-per-second to radians-per-second is not the same as radians-per-second to degrees-per-second.
- Avoid rounding too early. Keep the full result during the calculation, then round the final answer.
Degrees Per Second to Radians Per Second conversion table
| Degree per Second | Radian per Second |
|---|---|
| 1 deg/s | 0.0174532925 rad/s |
| 5 deg/s | 0.0872664626 rad/s |
| 10 deg/s | 0.1745329252 rad/s |
| 25 deg/s | 0.436332313 rad/s |
| 50 deg/s | 0.872664626 rad/s |
| 100 deg/s | 1.745329252 rad/s |
How to convert radians-per-second to degrees-per-second
To reverse the conversion, switch the two units in the calculator or open the reverse conversion page: radians-per-second to degrees-per-second.
Reversing the units is useful when you already have a value in radians per second and need the equivalent value in degrees per second.
How to use this degrees-per-second to radians-per-second converter
- Enter the number you want to convert in the value field.
- Confirm that the from unit is Degree 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 degrees-per-second to radians-per-second?
The formula is: radians per second = degrees per second / 57.2957795131.
How do I convert degrees-per-second to radians-per-second by hand?
Write down the value in degrees 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.