Figure 14-22 shows a tank filled with water. Five horizontal floors and ceilings are indicated; all have the same area and are located at distances L, 2L, 3Lorbelow the top of the tank. Rank them according to the force on them due to the water, greatest first.

1. Heights of floors from top of tank: $h_e>h_b=h_d>h_a=h_c$
2. All floors have same area and are at distances, L ,2L or 3L below the top of the tank.

Pressure due to fluid is directly proportional to the depth from the surface of the water. Now, using this relation value of pressure and depth, we can get the behavior of the force on the body that is related to pressure.

Formula:

The gauge pressure on the body, $\mathrm{p}=\rho gh$ (i)

The force applied on a body due to the pressure,$F=pA$ (ii)

Substituting the value of gauge pressure on a body of equation (i) in equation (ii), we can get the value of the force

$F=\rho ghA$

Since area is thesame for all the surfaces, force is directly proportional to the height from the top of thetank.

Therefore, the rank according to the force on floors due to water is$F_e>F_b=F_d>F_a=F_c.$