A sealed rectangular tank of length L is completely filled with a liquid of density ρ and accelerates horizontally with acceleration a. The pressure difference between the rear and front vertical walls at the same height is:
Options

Question

A sealed rectangular tank of length L is completely filled with a liquid of density ρ and accelerates horizontally with acceleration a. The pressure difference between the rear and front vertical walls at the same height is:

Options

G1 Physics · Accepted Answer

In the tank frame the horizontal effective body acceleration is opposite to the tank acceleration. Hydrostatic balance along x gives |dP/dx|=ρa. Hence the pressure difference across length L is ΔP=ρaL.