Can someone please give me a VERY DETAILED explanation of hydrostatic pressure and force problems in calculus?  from setting up the axis to completionI am having a very hard time getting this, so...

Can someone please give me a VERY DETAILED explanation of hydrostatic pressure and force problems in calculus?  from setting up the axis to completion

I am having a very hard time getting this, so your help will be much appreciated.

sciencesolve | Teacher | (Level 3) Educator Emeritus

Posted on

You should remember what are the formulas that you need to use in the problems involving hydrostatic pressure and hydrostatic forces, such that:

`P = rho*g*h`

`rho`  represents the density of the fluid

g represents the gravitational acceleration

h represents the depth where the pressure is evaluated

`P = F/A =>F = P*A`

You should set the x axis positive downward, where `x = 0`  represents the height at fluid surface.

You should evaluate the hydrostatic force using the definite integral such that:

`F = int_0^a P(x)*A(x) dx = int_0^a rho*g*h(x)*A(x) dx`

Hence, using the formulas of hydrostatic pressure and hydrostatic force and definite integral, yields `F = int_0^a rho*g*h(x)*A(x) dx.`