degree per second to radian per second
Convert degree per second (°/s) to radian per second (rad/s). Use an editable angular velocity converter, conversion formula, and reference table.
1 °/s = 0.01745329252 rad/s
Conversion formula
One degree per second equals 0.01745329252 radian per second. Multiply your value in degree per second by this factor to get radian per second. For the reverse conversion, divide by the same factor.
Worked example
To convert 5 degree per second:5 × 0.01745329252 = 0.0872664626 rad/s
Conversion table
| degree per second (°/s) | radian per second (rad/s) |
|---|---|
| 0.01 | 0.0001745329252 |
| 0.1 | 0.001745329252 |
| 1 | 0.01745329252 |
| 2 | 0.03490658504 |
| 5 | 0.0872664626 |
| 10 | 0.1745329252 |
| 25 | 0.436332313 |
| 50 | 0.872664626 |
| 100 | 1.745329252 |
| 1000 | 17.45329252 |
About these measurements
Angular velocity describes rotation per unit time.
The base reference used here is the radian per second. One degree per second is 0.01745329252 base units; one radian per second is 1 base units.
Important distinctions
Compound units must match the quantity and dimension. Temperature intervals use size factors rather than temperature offsets. Calorie and BTU entries use the explicit definitions shown.
Precision
The converter uses stored conversion factors and floating-point arithmetic. Results display up to ten significant digits, switching to scientific notation for very small or large values. Keep the precision of your original measurement when reporting results.
Common questions
How do I convert °/s to rad/s?
Multiply the quantity in °/s by 0.01745329252. You can also type the value into the converter above.
Can I reverse the conversion?
Yes. Use the swap button or open the radian per second to degree per second converter.
Reference
NIST Guide to the SI — conversion factors and prefix conventions. SI prefixes scale units by powers of ten; the dimension-specific notes above describe the assumptions used on this page.
