Convert Microradians per second squared to Gradians per second squared

Convert Microradians per second squared (µrad/s²) to Gradians per second squared (gon/s²) instantly and accurately.

Microradians per second squared (µrad/s²)
Gradians per second squared (gon/s²)

Conversion Formula

gon/s² = µrad/s² × 6.366197724e-5

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.

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

Microradians per second squared (µrad/s²)Gradians per second squared (gon/s²)
1 µrad/s²6.366 × 10-5 gon/s²
2 µrad/s²0.000127324 gon/s²
5 µrad/s²0.00031831 gon/s²
10 µrad/s²0.00063662 gon/s²
25 µrad/s²0.00159155 gon/s²
50 µrad/s²0.0031831 gon/s²
100 µrad/s²0.0063662 gon/s²

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