Convert Gradians per second to Degrees per minute
Convert Gradians per second (gon/s) to Degrees per minute (°/min) instantly and accurately.
Conversion Formula
°/min = gon/s × 54
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 Degrees per minute
The degree per minute (°/min) equals π/10800 rad/s ≈ 2.909 × 10⁻⁴ rad/s. The sidereal tracking rate for astronomical telescopes is 0.25 °/min (15 °/h); modern robotic observatories slew at 100-400 °/min between targets. A clock's hour hand turns at 0.5 °/min; the minute hand at 6 °/min. Industrial drum conveyors for cement kilns rotate at 0.5-5 °/min; automotive power-steering columns during parking manoeuvres rotate at 30-180 °/min. 1 °/min ≈ 2.909 × 10⁻⁴ rad/s = 1/60 rpm.
Quick Reference Table
| Gradians per second (gon/s) | Degrees per minute (°/min) |
|---|---|
| 1 gon/s | 54 °/min |
| 2 gon/s | 108 °/min |
| 5 gon/s | 270 °/min |
| 10 gon/s | 540 °/min |
| 25 gon/s | 1350 °/min |
| 50 gon/s | 2700 °/min |
| 100 gon/s | 5400 °/min |