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

`\frac{\textup{2}}{h}`

Step-by-step 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}}*` 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

=
`(\rho gh* w*1)/((1)/(2)*\rho gh*(h*w))`

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