Mechanical Properties of Fluids

Physics Part II

Physics

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A cork of density 0.18gm/cc floats in liquid of density 1.44 gm/cc with 20cc of volume inside the liquid. Find the mass and volume of the cork.

Given,

Density of the cork, $\mathrm{\sigma}$ = 0.18 gm/cc

Density of liquid,$\mathrm{\rho}$ = 1.44 gm / cc

Volume of liquid, V = 20 cc

Now, according to the law of floatation,

Weight of cork = Weight of liquid displaced by cork.

Therefore mass of the cork is given by,

$\mathrm{mg}=\mathrm{V\rho g}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\mathrm{m}=\mathrm{V\rho}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\therefore \mathrm{m}=20\times 1.44\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}=28.8\mathrm{gm}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}$

Volume of the cork, ${\mathrm{V}}_{\mathrm{c}}=\frac{\mathrm{m}}{\mathrm{\sigma}}=\frac{28.8}{0.18}=160\mathrm{cc}$

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What is fluid?

Any material that can flow is a fluid. Liquids and gases are examples of fluid.

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What is hydrostatics?

Hydrostatics is the branch of fluid mechanics that studies incompressible fluids at rest. The study of fluids at rest or objects placed at rest in fluids is hydrostatics.

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What is hydrodynamics?

Hydrodynamics is the branch of science that studies about the force exerted by the fluids or acting on the fluids.

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Why solids have definite shape while liquids do not have definite shape?

Solids: Intermolecular forces are very strong and thermal agitations are not sufficiently strong to separate the molecules from their mean position. Solids are rigid and hence they have definite shapes.

Liquids: In liquids intermolecular forces are not sufficiently strong to hold the molecules at definite sites, as a result they move freely within the bulk of liquid, therefore, do not possess definite shapes. Liquids take the same shape as that of the container.

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