I am trying to calculate the force acting on the end cap of a rotating cylinder containing water, this is part of a university project and any help would be much appreciated. Due to the rotation the water in the container has a pressure defined by P=((row)*(omega)^2*r^2)/2. As the pressure is different at each radii I believe you must us and integral in order to calculate the force F=P*A. But I am really struggling to put together the integral force F without getting a dr^2 function. Can anybody help me out with this, it would be much appreciated.