Question

14 An oil tank has a base of area 2.5 m2 and is filled with oil to a depth of 1.2m.

The density of the oil is 800 kg / m
What is the force exerted on the base of the tank due to the oil?

Answer 1

F = 23544 [N]

Step-by-step explanation:

To solve this problem we must use the following expression for static pressure in fluids.

`P=Ro*g*h`

where:

P = pressure [Pa]

Ro = density = 800 [kg/m³]

g = gravity acceleration = 9.81 [m/s²]

h = depth = 1.2 [m]

Now replacing:

`P = 800*9.81*1.2\\P=9417.6 [Pa]`

And the pressure is defined as the relationship of force between the area.

`P=F/A\\`

where:

F = force [N]

a = area = 2.5 [m²]

`F = P*A\\F = 9417.6*2.5\\F = 23544 [N]`