Convert Gradians per second squared to Degrees per minute per second
Convert Gradians per second squared (gon/s²) to Degrees per minute per second (°/min/s) instantly and accurately.
Conversion Formula
°/min/s = gon/s² × 54
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 per second
The degree per minute per second (°/min/s) equals π/10800 ≈ 2.909 × 10⁻⁴ rad/s², expressing the rate of change of angular speed in °/min per second. Telescope drive systems ramp slew speed in °/min/s to prevent mechanical shock; a 2 °/min/s ramp safely accelerates to 120 °/min tracking rates. Rotary kiln drive start-up angular acceleration is commonly recorded in °/min/s. 1 °/min/s = π/10800 rad/s².
Quick Reference Table
| Gradians per second squared (gon/s²) | Degrees per minute per second (°/min/s) |
|---|---|
| 1 gon/s² | 54 °/min/s |
| 2 gon/s² | 108 °/min/s |
| 5 gon/s² | 270 °/min/s |
| 10 gon/s² | 540 °/min/s |
| 25 gon/s² | 1350 °/min/s |
| 50 gon/s² | 2700 °/min/s |
| 100 gon/s² | 5400 °/min/s |