Question

A rectangular tank is filled with water to a depth = h, the tank width and length are w and 1 respectively. Calculate the ratio of the pressure force at the bottom to the pressure force on the side of the tank.

Answer 1

Answer:

$\frac{\textup{2}}{h}$

Explanation:

Given:

Depth = h

Width = w

Length  = 1

Now,

Let ρ be the density of water

Thus,

Pressure force at the bottom will be

= Pressure × Area

= ρgh × (w × 1)

also,

Pressure force at the sides will be = $\frac{\textup{1}}{\textup{2}}\times$ ρgh × (h × w)

Therefore,

The ratio of the pressure force at the bottom to the pressure force on the side of the tank will be

= $\frac{\rho gh\times w\times1}{\frac{1}{2}\times\rho gh\times(h\timesw)}$

= $\frac{\textup{2}}{h}$