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Moose100
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Homework Statement
A cylindrical diving bell with open bottom and closed top 12.0m high is lowered into a lake until water within the bell rises 8.0m from the bottom end. Determine the distance from the top of the bell to the surface of the lake.
Homework Equations
I actually solved this problem through trial and error. the fundamental issue I have is defining the ratio volumes and why does this work despite it seeming to make sense or does it?
4Va/12 =8Vw/12; (Va=Volume of air, Vw=Volume of Water.)<<<Why does this work? Because it makes more sense to have 2Vw=Va
The Attempt at a Solution
PaVa=PwVw
Plugging in "equivalency" in part 2;
Pa2Vw=PwVw
2Pa=Pw
2(100kpa)=Pw
Pw=200kpa
Pw=pGh
h=Pw/pG
h=200kpa/(1000kg/m3)(9.8ms-2)
h=20.6
Height from bell surface to top of lake
20.6 - 4-=16.6m
Schaums College physics problem 16.37
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