Convert Gradians per second squared to Revolutions per second squared
Convert Gradians per second squared (gon/s²) to Revolutions per second squared (rev/s²) instantly and accurately.
Conversion Formula
rev/s² = gon/s² × 0.0025
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 second squared
The revolution per second squared (rev/s²) equals 2π ≈ 6.2832 rad/s², used for high-speed machines. Ultracentrifuge rotors (Beckman-Coulter Optima MAX-XP) reach 1333 rps operating speed, achieving angular acceleration of 2-5 rev/s² during run-up. Dental air turbines spinning at 400 rps accelerate at 50-200 rev/s² during the power stroke. 1 rev/s² = 2π rad/s² = 60 rpm/s = 360 °/s².
Quick Reference Table
| Gradians per second squared (gon/s²) | Revolutions per second squared (rev/s²) |
|---|---|
| 1 gon/s² | 0.0025 rev/s² |
| 2 gon/s² | 0.005 rev/s² |
| 5 gon/s² | 0.0125 rev/s² |
| 10 gon/s² | 0.025 rev/s² |
| 25 gon/s² | 0.0625 rev/s² |
| 50 gon/s² | 0.125 rev/s² |
| 100 gon/s² | 0.25 rev/s² |