Convert Gradians per second squared to Degrees per minute squared
Convert Gradians per second squared (gon/s²) to Degrees per minute squared (°/min²) instantly and accurately.
Conversion Formula
°/min² = gon/s² × 3240
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 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.
Quick Reference Table
| Gradians per second squared (gon/s²) | Degrees per minute squared (°/min²) |
|---|---|
| 1 gon/s² | 3240 °/min² |
| 2 gon/s² | 6480 °/min² |
| 5 gon/s² | 16200 °/min² |
| 10 gon/s² | 32400 °/min² |
| 25 gon/s² | 81000 °/min² |
| 50 gon/s² | 162000 °/min² |
| 100 gon/s² | 324000 °/min² |