A cube tank with a square cross-section opening at the top is filled with two liquids as shown

Figure 1. The top liquid is oil with density p₁, and the bottom liquid is water with density p2. The

gravitational acceleration is g=-gk, the atmospheric pressure is po, and p2 > P1.

Determine the pressure distribution in the tank, i.e., find p = p(z).

1.

2.

Find the magnitude of the net hydrostatic force on the bottom wall, on the top wall,

and on one of the side walls of the tank.

Top

wall

Side

wall

C/2

Bottom

wall

C/41

Oil

Water

C

po

C/2

Figure 1: Sketch for Problem 1.

C