Fluid MechanicsHard
Question
A thin uniform cylindrical shell, closed at both ends, is partially filled with water. It is floatingvertically in water in half-submerged state. If ρc is the relative density of the material of the shellwith respect to water, then the correct statement is that the shell is
Options
A.more than half-filled if ρc is less than 0.5.
B.more than half-filled if ρc is more than 1.0.
C.half-filled if ρc is more than 0.5.
D.less than half-filled if ρc is less than 0.5.
Solution
ρw g = Vmρcρwg + VwρwgVw = Vm(1- 2ρc) + Va
if ρc >
⇒ Vw < Vaif ρc <
⇒ Vw > Va,where, Vw = volume occupied by water in the shell
Va = volume occupied by air in the shell
Vm = volume of the material in the shel
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