Convert Radians per minute per second to Gradians per second squared

Convert Radians per minute per second (rad/min/s) to Gradians per second squared (gon/s²) instantly and accurately.

Radians per minute per second (rad/min/s)
Gradians per second squared (gon/s²)

Conversion Formula

gon/s² = rad/min/s × 1.061032954

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.

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.

Quick Reference Table

Radians per minute per second (rad/min/s)Gradians per second squared (gon/s²)
1 rad/min/s1.06103 gon/s²
2 rad/min/s2.12207 gon/s²
5 rad/min/s5.30516 gon/s²
10 rad/min/s10.6103 gon/s²
25 rad/min/s26.5258 gon/s²
50 rad/min/s53.0516 gon/s²
100 rad/min/s106.103 gon/s²

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