Convert Gradians per second squared to Radians per minute squared
Convert Gradians per second squared (gon/s²) to Radians per minute squared (rad/min²) instantly and accurately.
Conversion Formula
rad/min² = gon/s² × 56.54866776
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 Radians per minute squared
The radian per minute squared (rad/min²) equals 1/3600 ≈ 2.778 × 10⁻⁴ rad/s², used where rotational speed is expressed in rad/min. Wind turbine pitch-control systems characterise blade angular acceleration in rad/min². Pharmaceutical coating pans and rotary drum mixers with PLC ramp control use rad/min² for smooth start-up profiles. 1 rad/min² = 1/3600 rad/s² ≈ 2.778 × 10⁻⁴ rad/s².
Quick Reference Table
| Gradians per second squared (gon/s²) | Radians per minute squared (rad/min²) |
|---|---|
| 1 gon/s² | 56.5487 rad/min² |
| 2 gon/s² | 113.097 rad/min² |
| 5 gon/s² | 282.743 rad/min² |
| 10 gon/s² | 565.487 rad/min² |
| 25 gon/s² | 1413.72 rad/min² |
| 50 gon/s² | 2827.43 rad/min² |
| 100 gon/s² | 5654.87 rad/min² |