Convert Gradians per second squared to Revolutions per minute squared
Convert Gradians per second squared (gon/s²) to Revolutions per minute squared (rev/min²) instantly and accurately.
Conversion Formula
rev/min² = gon/s² × 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 Revolutions per minute squared
The revolution per minute squared (rev/min²) equals π/1800 ≈ 1.745 × 10⁻³ rad/s². Also written rpm/min in drive engineering, it appears in variable-frequency drive (VFD) ramp settings; a 50 Hz induction motor reaching 1500 rpm in 10 s accelerates at 9000 rev/min². IEC 60034-4 motor testing and elevator traction drive specifications use rev/min². 1 rev/min² = π/1800 rad/s² ≈ 1.745 × 10⁻³ rad/s².
Quick Reference Table
| Gradians per second squared (gon/s²) | Revolutions per minute squared (rev/min²) |
|---|---|
| 1 gon/s² | 9 rev/min² |
| 2 gon/s² | 18 rev/min² |
| 5 gon/s² | 45 rev/min² |
| 10 gon/s² | 90 rev/min² |
| 25 gon/s² | 225 rev/min² |
| 50 gon/s² | 450 rev/min² |
| 100 gon/s² | 900 rev/min² |