To convert degrees per second to radians per second, multiply by 0.01745329252.
The calculation uses 1 °/s = 0.01745329252 rad/s. Results are displayed to at most 10 significant digits. Definitions can be exact while a displayed decimal is rounded. Match the displayed precision to your original measurement.
The formula
value in rad/s = value in °/s × 0.01745329252
°/s- Input unit: degrees per second
rad/s- Output unit: radians per second
How to use this calculator
- Enter a value in °/s.
- Multiply by the stored conversion factor.
- Read the result in rad/s; divide by the same factor to convert back.
Worked examples
Worked conversion
1 °/s × 0.01745329252 ≈ 0.01745329252 rad/s.
Reverse conversion
0.01745329252 rad/s ÷ 0.01745329252 ≈ 1 °/s. Rounding intermediate values can change the last displayed digit.
Frequently asked questions
What factor does this converter use?
It uses 0.01745329252 rad/s per °/s.
Why can another converter show a slightly different answer?
Check the unit convention first (such as US versus Imperial or decimal versus binary), then compare rounding. Measurement uncertainty is separate from the unit conversion.
°/s to rad/s table
| °/s | rad/s (rounded) |
|---|---|
| 0 | 0 |
| 1 | 0.01745329252 |
| 2 | 0.03490658504 |
| 5 | 0.0872664626 |
| 10 | 0.1745329252 |
| 100 | 1.745329252 |
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