Convert Milliradians per second squared to Gradians per second squared
Convert Milliradians per second squared (mrad/s²) to Gradians per second squared (gon/s²) instantly and accurately.
Conversion Formula
gon/s² = mrad/s² × 0.06366197724
About Milliradians per second squared
The milliradian per second squared (mrad/s²) equals 10⁻³ rad/s², the natural unit for robotic joint angular acceleration. Industrial robot arms (KUKA KR 1000, ABB IRB 8700) run joint acceleration profiles of 50-500 mrad/s²; CNC machine spindle synchronisation algorithms generate 1-100 mrad/s². Optical phased-array beam-steering systems also operate in this range. 1 mrad/s² = 10⁻³ rad/s² ≈ 0.0573 °/s² ≈ 9.549 × 10⁻³ 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
| Milliradians per second squared (mrad/s²) | Gradians per second squared (gon/s²) |
|---|---|
| 1 mrad/s² | 0.063662 gon/s² |
| 2 mrad/s² | 0.127324 gon/s² |
| 5 mrad/s² | 0.31831 gon/s² |
| 10 mrad/s² | 0.63662 gon/s² |
| 25 mrad/s² | 1.59155 gon/s² |
| 50 mrad/s² | 3.1831 gon/s² |
| 100 mrad/s² | 6.3662 gon/s² |