Use this radians-per-second to degrees-per-second converter to change a radian per second measurement into its degree 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 degree per second?
Degree per Second (deg/s) is a angular velocity unit.
Radians Per Second to Degrees Per Second Converter formula
To convert radians per second to degrees 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 radians-per-second to degrees-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 = 572.957795131 deg/s.
- 1 rad/s = 57.2957795131 deg/s
- 10 rad/s = 572.957795131 deg/s
- 100 rad/s = 5,729.57795131 deg/s
Manual conversion steps
- Write down the value in radians per second.
- Use the conversion formula: degrees per second = radians per second x 57.2957795131.
- Calculate the result in degrees 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 degrees-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 degrees per second when you need equivalent measurements in another unit.
Common mistakes when converting radians-per-second to degrees-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 degrees-per-second is not the same as degrees-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 Degrees Per Second conversion table
| Radian per Second | Degree per Second |
|---|---|
| 1 rad/s | 57.2957795131 deg/s |
| 5 rad/s | 286.478897565 deg/s |
| 10 rad/s | 572.957795131 deg/s |
| 25 rad/s | 1,432.39448783 deg/s |
| 50 rad/s | 2,864.78897565 deg/s |
| 100 rad/s | 5,729.57795131 deg/s |
How to convert degrees-per-second to radians-per-second
To reverse the conversion, switch the two units in the calculator or open the reverse conversion page: degrees-per-second to radians-per-second.
Reversing the units is useful when you already have a value in degrees per second and need the equivalent value in radians per second.
How to use this radians-per-second to degrees-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 Degree 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 degrees-per-second?
The formula is: degrees per second = radians per second x 57.2957795131.
How do I convert radians-per-second to degrees-per-second by hand?
Write down the value in radians per second, apply the formula, and round the final result in degrees 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.