Convert Gradians per second squared to Nanoradians per second squared
Convert Gradians per second squared (gon/s²) to Nanoradians per second squared (nrad/s²) instantly and accurately.
Conversion Formula
nrad/s² = gon/s² × 15707963.27
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 Nanoradians per second squared
The nanoradian per second squared (nrad/s²) equals 10⁻⁹ rad/s², measuring imperceptibly gradual changes in rotation rate. Precision spacecraft attitude-control systems operate in this range during ultra-slow slew manoeuvres; GRACE-FO drag-free cold-gas thrusters produced angular accelerations at the nrad/s² scale. Ring laser gyroscopes monitoring Earth's polar motion require resolving nrad/s² variations. 1 nrad/s² = 10⁻⁹ rad/s² ≈ 1.02 × 10⁻⁹ rpm/s.
Quick Reference Table
| Gradians per second squared (gon/s²) | Nanoradians per second squared (nrad/s²) |
|---|---|
| 1 gon/s² | 15708000 nrad/s² |
| 2 gon/s² | 31415900 nrad/s² |
| 5 gon/s² | 78539800 nrad/s² |
| 10 gon/s² | 157080000 nrad/s² |
| 25 gon/s² | 392699000 nrad/s² |
| 50 gon/s² | 785398000 nrad/s² |
| 100 gon/s² | 1.571 × 109 nrad/s² |