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.
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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.`
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