Is my Free Body Diagram and Approach Correct for Finding Vertical Force on Tank?

AI Thread Summary
The discussion focuses on verifying the correctness of a free body diagram and the approach to calculating the vertical force on a tank. The main query is whether the vertical force is simply the difference between the buoyant force and the weight of the cylinder. It is clarified that the depth of the water does not affect the buoyant force calculation, as Archimedes' principle only considers the weight of the fluid displaced. The calculations presented are deemed accurate. Understanding these principles is crucial for solving similar problems effectively.
Jason03
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Im working on the problem below and trying to figure out if I have the right approach. I am checing to see if my free body diagram is correct. Also if finding the vertical force exerted on the bottom of the tank is just the differenence of the bouyant force and wieght of the cylinder as showin in my work. thanks

http://i674.photobucket.com/albums/vv106/jason03_2009/hw11.jpg

http://i674.photobucket.com/albums/vv106/jason03_2009/hw12.jpg
 
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would I need to take into consideration the depth of the water?...or just the weight of the cylinder and the bouyant force?
 
Hi Jason,
Your calculations look fine. In calculating the buoyant force, the depth of the water isn't a consideration. Archimedes principal looks only at the weight of the fluid displaced by the solid object, not the pressure of the fluid.
 
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