Correct! but do I have to decompose the pressure which I believe is orthogonal to the surface, i.e. is in the \hat{\rho} direction, to the cartesian directions and then integrate? I mean do I have to think the pressure as a vector field (I was told it was a scalar) ?
Let me use a simpler...
The problem is the following: we have 2 half's of a cylinder and they are put together using 6 screws, forming a full cylinder. Inside there is water and we are asked to calculate the force on the screws when the cylinder rotates with constant angular velocity Ω. Using the equations of...