Convert Gradians per second squared to Microradians per second squared
Convert Gradians per second squared (gon/s²) to Microradians per second squared (µrad/s²) instantly and accurately.
Conversion Formula
µrad/s² = gon/s² × 15707.96327
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 Microradians per second squared
The microradian per second squared (µrad/s²) equals 10⁻⁶ rad/s², characteristic of navigation-grade inertial systems. Gyroscopes on commercial aircraft detect angular accelerations of 0.1-10 µrad/s² during steady cruise; aeroelastic wing flexing during gusts generates 5-50 µrad/s². Geodetic VLBI antennas accelerate through this range during sky survey slewing. 1 µrad/s² = 10⁻⁶ rad/s² ≈ 5.73 × 10⁻⁵ °/s².
Quick Reference Table
| Gradians per second squared (gon/s²) | Microradians per second squared (µrad/s²) |
|---|---|
| 1 gon/s² | 15708 µrad/s² |
| 2 gon/s² | 31415.9 µrad/s² |
| 5 gon/s² | 78539.8 µrad/s² |
| 10 gon/s² | 157080 µrad/s² |
| 25 gon/s² | 392699 µrad/s² |
| 50 gon/s² | 785398 µrad/s² |
| 100 gon/s² | 1570800 µrad/s² |