Hydrostatic Pressure: Calculate Force on Cylindrical Tank

[africanmasks]

Homework Statement

A cylindrical tank, with base radius 9.4 meter, lies on its side and is partially filled with a liquid whose density is $$\sigma$$=1260 kilograms per cubic meter. The liquid fills the tank to a maximum depth of 14 meters. Determine the amount of force (in Newtons) exerted on a flat side of the tank.

Homework Equations

F=$$\sigma$$dA

The Attempt at a Solution

I need help setting it up.

So far I have:

F= int (from -9.4 to 9.4) (14-y) 2(88.36-y^2)^(1/2)

Is that right? Or should be from 0 to 14?

 

[Dick]

The pressure is a variable function of the depth. You have to integrate the pressure over the area of the end of the tank.

 

[Bohrok]

I have everything set-up, but I don't know what the depth is. Is it just 14 or y-14?

You need to let the depth be a function of y. You might be able to use y-14, but you will definitely need a y somewhere (finding depth as a function of y can be tricky and was one of the hardest things for me for these kinds of pressure problems since there can be more than one way to set it up).