Degree per second squared to Radian per second squared Converter
1 degree per second squared is about 0.01745329252 radians per second squared. Convert degrees per second squared (°/s²) to radians per second squared (rad/s²) below: type a value and the result updates as you type.
°/s² to rad/s² calculator
Result
Degree per second squared to Radian per second squared conversion
1 °/s² ≈ 0.01745329252 rad/s²one degree per second squared in radians per second squared
1 rad/s² ≈ 57.29577951 °/s²one radian per second squared in degrees per second squared
Degree per second squared (°/s²): One degree per second every second: π/180 rad/s².
Radian per second squared (rad/s²): SI unit of angular acceleration: a change in angular speed of one radian per second every second.
Source:SI Brochure, 9th edition (BIPM, 2019)
How to convert degrees per second squared to radians per second squared
To convert degrees per second squared to radians per second squared, multiply the number of degrees per second squared by about 0.01745329252.
Formula
rad/s² = °/s² × 0.01745329252
The factor is rounded here. The calculator uses the exact value.
Examples
- 5 °/s² = 5 × 0.01745329252 ≈ 0.0872664626 rad/s²
- 25 °/s² = 25 × 0.01745329252 ≈ 0.436332313 rad/s²
- 100 °/s² = 100 × 0.01745329252 ≈ 1.745329252 rad/s²
Degree per second squared to Radian per second squared conversion table
| Degree per second squared (°/s²) | Radian per second squared (rad/s²) |
|---|---|
| 0.1 °/s² | 0.001745329252 rad/s² |
| 0.5 °/s² | 0.00872664626 rad/s² |
| 1 °/s² | 0.01745329252 rad/s² |
| 2 °/s² | 0.03490658504 rad/s² |
| 3 °/s² | 0.05235987756 rad/s² |
| 5 °/s² | 0.0872664626 rad/s² |
| 10 °/s² | 0.1745329252 rad/s² |
| 20 °/s² | 0.3490658504 rad/s² |
| 25 °/s² | 0.436332313 rad/s² |
| 50 °/s² | 0.872664626 rad/s² |
| 100 °/s² | 1.745329252 rad/s² |
| 250 °/s² | 4.36332313 rad/s² |
| 500 °/s² | 8.72664626 rad/s² |
| 1000 °/s² | 17.45329252 rad/s² |
Values rounded to 10 significant digits where needed.
Frequently asked questions
- How many radians per second squared are in one degree per second squared?
- One degree per second squared is about 0.01745329252 radians per second squared.
- How do I convert radians per second squared to degrees per second squared?
- To convert radians per second squared to degrees per second squared, multiply the number of radians per second squared by about 57.29577951. The formula is °/s² = rad/s² × 57.29577951.
- Is this conversion exact?
- Yes. Both units have exact definitions, but the factor has more decimal places than can be shown, so displayed results are rounded. The calculator works with 50 significant digits before rounding.
- Which is larger, a degree per second squared or a radian per second squared?
- A radian per second squared is about 57.29577951 times larger than a degree per second squared. In other words, a degree per second squared is about 0.01745329252 of a radian per second squared.