Discussion
The aerodynamic centre of an airfoil is the point about which
Answer: B
Correct answer: The pitching moment does not vary with angle of attack
The aerodynamic centre is defined by that invariance: \( dC_m/d\alpha = 0 \) about it, so the moment there is a constant of the section.
Thin airfoil theory places it at the quarter chord in subsonic flow, moving towards mid-chord supersonically - the shift that causes Mach tuck. The property is what makes it the natural reference point for stability analysis, since the lift's contribution to the moment about any other point varies with incidence and the aerodynamic centre's does not.
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