Convert Gradians per second to Milliradians per second
Convert Gradians per second (gon/s) to Milliradians per second (mrad/s) instantly and accurately.
Conversion Formula
mrad/s = gon/s × 15.70796327
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 Milliradians per second
The milliradian per second (mrad/s) is 10⁻³ rad/s, used in precision guidance and antenna pointing. Phased-array radar beam steering rates for track-while-scan modes are typically 10-1000 mrad/s. LEO Earth-observation satellites (Sentinel-2, WorldView-3) manoeuvre between imaging targets at 5-20 mrad/s and slew at 50-200 mrad/s. Industrial robot wrist joints (KUKA, Fanuc) operate at 17-175 mrad/s. Optical encoders (Heidenhain RON 905) can measure angular velocity to 0.1 mrad/s accuracy. 1 mrad/s = 10⁻³ rad/s ≈ 0.0573 °/s ≈ 9.549 × 10⁻³ rpm.
Quick Reference Table
| Gradians per second (gon/s) | Milliradians per second (mrad/s) |
|---|---|
| 1 gon/s | 15.708 mrad/s |
| 2 gon/s | 31.4159 mrad/s |
| 5 gon/s | 78.5398 mrad/s |
| 10 gon/s | 157.08 mrad/s |
| 25 gon/s | 392.699 mrad/s |
| 50 gon/s | 785.398 mrad/s |
| 100 gon/s | 1570.8 mrad/s |