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.
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.`