Convert Radians per second squared to Gradians per second squared
Convert Radians per second squared (rad/s²) to Gradians per second squared (gon/s²) instantly and accurately.
Conversion Formula
gon/s² = rad/s² × 63.66197724
About Radians per second squared
The radian per second squared (rad/s²) is the SI coherent derived unit of angular acceleration. It appears in Newton's second law for rotation: τ = Iα, where torque τ is in N·m, moment of inertia I in kg·m², and angular acceleration α in rad/s². All engineering simulation tools (MATLAB, Simulink, ROS, FEM solvers) use rad/s² natively. A typical electric motor under full load accelerates at 10-100 rad/s². 1 rad/s² ≈ 57.296 °/s² ≈ 9.549 rpm/s.
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
| Radians per second squared (rad/s²) | Gradians per second squared (gon/s²) |
|---|---|
| 1 rad/s² | 63.662 gon/s² |
| 2 rad/s² | 127.324 gon/s² |
| 5 rad/s² | 318.31 gon/s² |
| 10 rad/s² | 636.62 gon/s² |
| 25 rad/s² | 1591.55 gon/s² |
| 50 rad/s² | 3183.1 gon/s² |
| 100 rad/s² | 6366.2 gon/s² |