Convert Radians per minute squared to Gradians per second squared

Convert Radians per minute squared (rad/min²) to Gradians per second squared (gon/s²) instantly and accurately.

Radians per minute squared (rad/min²)
Gradians per second squared (gon/s²)

Conversion Formula

gon/s² = rad/min² × 0.01768388257

About Radians per minute squared

The radian per minute squared (rad/min²) equals 1/3600 ≈ 2.778 × 10⁻⁴ rad/s², used where rotational speed is expressed in rad/min. Wind turbine pitch-control systems characterise blade angular acceleration in rad/min². Pharmaceutical coating pans and rotary drum mixers with PLC ramp control use rad/min² for smooth start-up profiles. 1 rad/min² = 1/3600 rad/s² ≈ 2.778 × 10⁻⁴ 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 squared (rad/min²)Gradians per second squared (gon/s²)
1 rad/min²0.0176839 gon/s²
2 rad/min²0.0353678 gon/s²
5 rad/min²0.0884194 gon/s²
10 rad/min²0.176839 gon/s²
25 rad/min²0.442097 gon/s²
50 rad/min²0.884194 gon/s²
100 rad/min²1.76839 gon/s²

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