Convert Degrees per minute squared to Gradians per second squared
Convert Degrees per minute squared (°/min²) to Gradians per second squared (gon/s²) instantly and accurately.
Conversion Formula
gon/s² = °/min² × 0.0003086419753
About Degrees per minute squared
The degree per minute squared (°/min²) equals π/648000 ≈ 4.848 × 10⁻⁶ rad/s², coincidentally equal to 1 °/h/s. It appears in slow rotational dynamics: spinning astronomical instrument platforms ramp up at fractions of a °/min² to avoid disturbing cryogenic detectors. Large CNC rotary tables for turbine disc indexing programme controlled acceleration profiles in °/min². 1 °/min² = π/648000 rad/s².
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 minute squared (°/min²) | Gradians per second squared (gon/s²) |
|---|---|
| 1 °/min² | 0.000308642 gon/s² |
| 2 °/min² | 0.000617284 gon/s² |
| 5 °/min² | 0.00154321 gon/s² |
| 10 °/min² | 0.00308642 gon/s² |
| 25 °/min² | 0.00771605 gon/s² |
| 50 °/min² | 0.0154321 gon/s² |
| 100 °/min² | 0.0308642 gon/s² |