Convert Gradians per second squared to Radians per minute per second
Convert Gradians per second squared (gon/s²) to Radians per minute per second (rad/min/s) instantly and accurately.
Conversion Formula
rad/min/s = gon/s² × 0.9424777961
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 Radians per minute per second
The radian per minute per second (rad/min/s) equals 1/60 ≈ 0.016667 rad/s², expressing how quickly the angular rate in rad/min changes per second. Wind turbine control systems working in rad/min express start-up acceleration in rad/min/s; a 14 MW direct-drive offshore turbine ramping from 0 to 6 rad/min in 60 s accelerates at 0.1 rad/min/s. CNC spindle run-up profiles and paper-machine roll drives use rad/min/s. 1 rad/min/s = 1/60 rad/s².
Quick Reference Table
| Gradians per second squared (gon/s²) | Radians per minute per second (rad/min/s) |
|---|---|
| 1 gon/s² | 0.942478 rad/min/s |
| 2 gon/s² | 1.88496 rad/min/s |
| 5 gon/s² | 4.71239 rad/min/s |
| 10 gon/s² | 9.42478 rad/min/s |
| 25 gon/s² | 23.5619 rad/min/s |
| 50 gon/s² | 47.1239 rad/min/s |
| 100 gon/s² | 94.2478 rad/min/s |