Find the Fluid-force on the vertical side of the tank, where the dimensions are given in feet.

Question

Find the <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> Fluid-force on the vertical side of the tank, where the dimensions are given in feet. Assume that the tank is full of water.

Answer 1

Step 1:

The function .

Solve for .

Formula : ,

where is the depth of the fluid at .

is the horizontal length of the region at .

Depth

Length

In this case

The depth of the tank varies from 0 to 4.

The weight-density of water pounds per cubic foot.

Step 2:

Substitute the above values in the integral.

pounds.

Solution:

Fluid force pounds.