Convert Revolutions per second squared to Gradians per second squared
Convert Revolutions per second squared (rev/s²) to Gradians per second squared (gon/s²) instantly and accurately.
Conversion Formula
gon/s² = rev/s² × 400
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.
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
| Revolutions per second squared (rev/s²) | Gradians per second squared (gon/s²) |
|---|---|
| 1 rev/s² | 400 gon/s² |
| 2 rev/s² | 800 gon/s² |
| 5 rev/s² | 2000 gon/s² |
| 10 rev/s² | 4000 gon/s² |
| 25 rev/s² | 10000 gon/s² |
| 50 rev/s² | 20000 gon/s² |
| 100 rev/s² | 40000 gon/s² |