How to Prove that p=dgh
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Derivation: P=hdg
Let us consider a vessel with cross sectional area "A" is filled with a liquid with density "d" , volume V and mass "m" upto a height of "h"
As we know the definition of Pressure :P=F/A
P=mg/A [ since F=mg]
P=vxdxg/A [ since density=mass/ volume]
P=Ahdg/A [ Volume= Ah]
P=hdg where g is the acceleration due to gravity of that place.
Explanation:
This is how we can prove P = dgh
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