Question #11652

1 Answer
Apr 7, 2017

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In the above discussion it has been proved that the maximum buoyancy or upthrust experienced by a body immersed in a fluid is the weight of the fluid displaced by it when it is completely immersed.

So buoyancy

B_"max"uarr=VrhogBmax=Vρg

Whrere

V->"volume of the body"Vvolume of the body

rho->"density of the fluid"ρdensity of the fluid

g->"acceleration due to gavity"gacceleration due to gavity

=>B_"max"uarr= M/drhog=Mgxx(rho/d)Bmax⏐ ⏐=Mdρg=Mg×(ρd)

=Wxx(rho/d)=W×(ρd)

Where

W=Mg-> "weight of the body"W=Mgweight of the body

"M and d are mass and density of the body respectively"M and d are mass and density of the body respectively

The above relation shows that

(1) the maximum Buoyancy of a body is directly proportional to its weight if rho/dρd, the density ratio remains constant.

(2) Again the maximum Buoyancy of a body is inversely proportional to its density when weight of the body and density of the fluid remain constant