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

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SUMMARY

The discussion focuses on verifying the approach to calculating the vertical force exerted on the bottom of a tank using a Free Body Diagram (FBD). The user confirms that the vertical force is determined by the difference between the buoyant force and the weight of the cylinder. It is established that the depth of the water does not affect the buoyant force calculation, as Archimedes' principle relies solely on the weight of the fluid displaced by the object.

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  • Understanding of Free Body Diagrams (FBD)
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  • Basic concepts of buoyant force and weight
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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 buoyant 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 buoyant 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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