Discuss using Archimedes' principle, how we can measure the specific gravity of a material?

Solution

The density of the body relative to water is known as the specific gravity of a body.

To measure the specific gravity of the body, the body is first weighed in air and then in water.

Let,
W₁ and W₂ be the weights of the body in air and water respectively,
ρ - density of water, and
σ - density of body.

According to Archimedes principle, loss of weight of body in liquid is given by,

W_{1} - W_{2} = V ρ g i . e ., \frac{W_{1}}{W_{1} - W_{2}} = \frac{V σ g}{V ρ g} \Rightarrow \frac{W_{1}}{W_{1} - W_{2}} = \frac{σ}{ρ} = σ [∵ ρ = 1] ∴ σ = \frac{W_{1}}{W_{1} - W_{2}}

Some More Questions From Mechanical Properties of Fluids Chapter

Do intermolecular or inter-atomic forces follow inverse square law?

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Mechanical Properties Of Fluids

Discuss using Archimedes' principle, how we can measure the specific gravity of a material?

Some More Questions From Mechanical Properties of Fluids Chapter

Do intermolecular or inter-atomic forces follow inverse square law?

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What is hydrodynamics?

Can fluids withstand tangential stress?

Can fluids withstand normal stress?

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