Convert Gradians per second to Microradians per second
Convert Gradians per second (gon/s) to Microradians per second (µrad/s) instantly and accurately.
Conversion Formula
µrad/s = gon/s × 15707.96327
About Gradians per second
The gradian per second (gon/s) equals π/200 rad/s ≈ 0.01571 rad/s, where the gradian (1 gon = 0.9°) divides the right angle into 100 equal parts. Introduced during the French Revolution as part of decimal reform, the gradian remains the standard angular unit in European continental surveying: total stations (Leica TS16, Trimble S9) sold in Germany, France, and Scandinavia default to gon; Austrian and Swiss cadastral land registers record all bearings in gon. DIN 18709 specifies survey work in gon; ISO 80000-3 acknowledges the unit. 1 gon/s = π/200 rad/s ≈ 0.9 °/s ≈ 0.15 rpm.
About Microradians per second
The microradian per second (µrad/s) is 10⁻⁶ rad/s. Earth's mean sidereal rotation rate is ≈72.921 µrad/s, the single most important reference at this scale. Navigation-grade ring laser gyroscopes (Honeywell GG1320) reach bias stability below 0.15 µrad/s; fibre-optic gyros for satellite attitude control (iXBlue ASTRIX-120) achieve 0.048 µrad/s. Postglacial isostatic rebound produces crustal block rotations detectable at 0.1-1 µrad/s in GPS survey networks. 1 µrad/s = 10⁻⁶ rad/s ≈ 5.73 × 10⁻⁵ °/s.
Quick Reference Table
| Gradians per second (gon/s) | Microradians per second (µrad/s) |
|---|---|
| 1 gon/s | 15708 µrad/s |
| 2 gon/s | 31415.9 µrad/s |
| 5 gon/s | 78539.8 µrad/s |
| 10 gon/s | 157080 µrad/s |
| 25 gon/s | 392699 µrad/s |
| 50 gon/s | 785398 µrad/s |
| 100 gon/s | 1570800 µrad/s |