A vessel accelerates upward with acceleration 2g. If a vertical liquid column of height h has pressure difference ΔP=nρgh between its bottom and top, find n.
Physics · Fluid Mechanics · Pressure Variation in Fluids
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Question

A vessel accelerates upward with acceleration 2g. If a vertical liquid column of height h has pressure difference ΔP=nρgh between its bottom and top, find n.

G1 Physics · Accepted Answer

Effective downward gravity in the vessel frame is g_eff=g+2g=3g. Therefore ΔP=ρg_eff h=3ρgh, so n=3.