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F = ma (Final Problems)
Dynamics
FMA-2026-24 · 2026 F = ma (AAPT)

2026 F = ma Exam — Question 24

A thin sheet of air with density ρ is blown at a uniform speed v toward a smooth, convex cylindrical surface of radius R. The sheet has uniform thickness t ≪ R and remains everywhere tangent to the cylinder while it stays attached. Neglect gravity and viscosity. The pressure on the outer side of the air sheet is constant and equal to P . The pressure on the side adjacent to the cylinder is lower by an amount ∆P . The air sheet follows the curvature of the cylinder until it can no longer remain attached. Given the parameters below, what is the maximum integer speed vmax for which the sheet can remain attached to the surface? P P − ∆P t R v ρ = 1.2 kg/m3 ,
Source: Question 24, 2026 F = ma Exam, © 2026 American Association of Physics Teachers (AAPT) and the U.S. Physics Team. Adapted by PhysicsTrainer: reformatted into a separate question and answer choices for online multiple-choice practice; any shared setup from nearby questions is repeated here. Not affiliated with or endorsed by AAPT or the U.S. Physics Team.