Convert Gradians per second to Radians per minute

Convert Gradians per second (gon/s) to Radians per minute (rad/min) instantly and accurately.

Gradians per second (gon/s)
Radians per minute (rad/min)

Conversion Formula

rad/min = gon/s × 0.9424777961

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 Radians per minute

The radian per minute (rad/min) equals 1/60 rad/s ≈ 0.01667 rad/s, convenient for wind turbine rotors and slow industrial drives. Large direct-drive offshore wind turbines (14-15 MW, e.g. Siemens Gamesa SG 14-222, Vestas V236) rotate at 4-15 rad/min (0.064-0.24 rpm). Pharmaceutical coating pans rotate at 0.5-10 rad/min; large CNC rotary tables for turbine disc machining run at 0.2-8 rad/min. VLT 8.2 m telescope tracks stars at the sidereal rate π/720 ≈ 0.00436 rad/min. 1 rad/min = 1/60 rad/s ≈ 0.1592 rpm.

Quick Reference Table

Gradians per second (gon/s)Radians per minute (rad/min)
1 gon/s0.942478 rad/min
2 gon/s1.88496 rad/min
5 gon/s4.71239 rad/min
10 gon/s9.42478 rad/min
25 gon/s23.5619 rad/min
50 gon/s47.1239 rad/min
100 gon/s94.2478 rad/min

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