Centre of Pressure and Centroid Fluid Mechanics

[iq97ca]

1. Homework Statement

a 2m by 4m window is to be installed under water at a depth of 50 m with seawater on one side and atmospheric pressure on the other. Calculate and plot the distance between the centroid and the centre of pressure starting from when the window is installed at surface such that 1m is above the water until the bottom of the window is flush with the bottom of the enclosure.


2. Homework Equations

y'cp=density*sin(theta)*I_xx/P_cg*A

I_xx=B*L^3/12


3. The Attempt at a Solution

so this is a pretty confusingly worded questiona nd I'm not even entirely sure what it's asking for

the centroid would exist at 2m,1m relative to the bottom left corner of the window

 

[NateD]

the centre of pressure would exist at 0m,2m relative to the bottom left corner of the windowthe centroid and the centre of pressure would be separated by 1m at 0m depth, and remain that way as the window is submergedat 50m depth, the centre of pressure would still be at 0m,2m, but the centroid would be shifted down to -48m,1m I'm not sure how to plot this as a function of depth, it seems like it's just a constant shift