Convert Gradians per second squared to Degrees per second squared
Convert Gradians per second squared (gon/s²) to Degrees per second squared (°/s²) instantly and accurately.
Conversion Formula
°/s² = gon/s² × 0.9
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.
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.
Quick Reference Table
| Gradians per second squared (gon/s²) | Degrees per second squared (°/s²) |
|---|---|
| 1 gon/s² | 0.9 °/s² |
| 2 gon/s² | 1.8 °/s² |
| 5 gon/s² | 4.5 °/s² |
| 10 gon/s² | 9 °/s² |
| 25 gon/s² | 22.5 °/s² |
| 50 gon/s² | 45 °/s² |
| 100 gon/s² | 90 °/s² |