Determine the equation for the volume of body’s partially part immersed in a fluid for the floating body.
Determine the equation for the volume of body’s partially part immersed in a fluid for the floating body.
.When any body float on the surface of liquid then weight of body $=$ weight of displaced liquid
by the body.
$\mathrm{V} \rho g=\mathrm{V}^{\prime} \rho_{l} g$ (where $\mathrm{V}=$ volume of body)
$\mathrm{V}^{\prime}=$ volume of partially part of immerged in liquid
$=$ volume of displaced liquid
$\rho=$ Density of body
$\rho_{l}=$ Density of liquid
$\therefore \frac{\mathrm{V}^{\prime}}{\mathrm{V}}=\frac{\rho}{\rho^{\prime}}=\frac{\text { Volume of immerged part of body }}{\text { Total volume of body }}$
$=\frac{\text { Density of body }}{\text { Density of liquid }}$
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