Convert Degrees per second squared to Gradians per second squared
Convert Degrees per second squared (°/s²) to Gradians per second squared (gon/s²) instantly and accurately.
Conversion Formula
gon/s² = °/s² × 1.111111111
About Degrees per second squared
The degree per second squared (°/s²) equals π/180 ≈ 0.017453 rad/s², the most intuitive angular acceleration unit. Human vestibular perception threshold starts near 1 °/s²; aircraft pitch acceleration during manoeuvres is 5-30 °/s²; robot joint acceleration 100-500 °/s². Automotive electronic stability control monitors yaw angular acceleration to detect spin onset. MEMS IMUs measure 0.1-1000 °/s². 1 °/s² = π/180 rad/s² ≈ 1/6 rpm/s.
About Gradians per second squared
The gradian per second squared (gon/s²) equals π/200 ≈ 0.015708 rad/s². The gradian (1 gon = 0.9°) is the standard angular unit in continental European surveying; robotic total stations (Leica TS16, Trimble S-Series) that report angular speed in gon/s naturally characterise servo acceleration in gon/s². DIN 18709 survey instrument calibration records angular acceleration in the gradian system. 1 gon/s² = π/200 rad/s² ≈ 0.9 °/s².
Quick Reference Table
| Degrees per second squared (°/s²) | Gradians per second squared (gon/s²) |
|---|---|
| 1 °/s² | 1.11111 gon/s² |
| 2 °/s² | 2.22222 gon/s² |
| 5 °/s² | 5.55556 gon/s² |
| 10 °/s² | 11.1111 gon/s² |
| 25 °/s² | 27.7778 gon/s² |
| 50 °/s² | 55.5556 gon/s² |
| 100 °/s² | 111.111 gon/s² |