Convert Revolutions per minute squared to Gradians per second squared

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

Revolutions per minute squared (rev/min²)
Gradians per second squared (gon/s²)

Conversion Formula

gon/s² = rev/min² × 0.1111111111

About Revolutions per minute squared

The revolution per minute squared (rev/min²) equals π/1800 ≈ 1.745 × 10⁻³ rad/s². Also written rpm/min in drive engineering, it appears in variable-frequency drive (VFD) ramp settings; a 50 Hz induction motor reaching 1500 rpm in 10 s accelerates at 9000 rev/min². IEC 60034-4 motor testing and elevator traction drive specifications use rev/min². 1 rev/min² = π/1800 rad/s² ≈ 1.745 × 10⁻³ 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

Revolutions per minute squared (rev/min²)Gradians per second squared (gon/s²)
1 rev/min²0.111111 gon/s²
2 rev/min²0.222222 gon/s²
5 rev/min²0.555556 gon/s²
10 rev/min²1.11111 gon/s²
25 rev/min²2.77778 gon/s²
50 rev/min²5.55556 gon/s²
100 rev/min²11.1111 gon/s²

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