Determine equation for volume of body’s partially part immersed in a fluid for floating body.

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9-1.Fluid Mechanics

easy

Determine the equation for the volume of body’s partially part immersed in a fluid for the floating body.

Option A

Option B

Option C

Option D

Solution

.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

$\therefore \frac{\mathrm{V}^{\prime}}{\mathrm{V}}=\frac{\rho}{\rho^{\prime}}=\frac{\text { Volume of immerged part of body }}{\text { Total volume of body }}$

$=\frac{\text { Density of body }}{\text { Density of liquid }}$

Standard 11

Physics

A body of density $\rho'$ is dropped from rest at a height $h$ into a lake of density $\rho$ , where $\rho > \rho '$ . Neglecting all dissipative forces, calculate the maximum depth to which the body sinks before returning to float on the surface.

hard

A boy carries a fish in one hand and a bucket(not full) of water in the other hand . If he places the fish in the bucket , the weight now carried by him (assume that water does not spill) :

medium

Apiece of steel has a weight $W$ in air, $W_1$ when completely immersed in water and $W_2$ when completely immersed in an unknown liquid. The relative density (specific gravity)of liquid is

hard

Two bodies are in equilibrium when suspended in water from the arms of a balance. The mass of one body is $36 g $ and its density is $9 g / cm^3$. If the mass of the other is $48 g$, its density in $g / cm^3$ is

hard

Two solids $A$ and $ B$ float in water. It is observed that $A$ floats with half its volume immersed and $B$ floats with $2/3$ of its volume immersed. Compare the densities of $A$ and $B$

easy

Determine the equation for the volume of body’s partially part immersed in a fluid for the floating body.

Solution

Similar Questions

A body of density $\rho'$ is dropped from rest at a height $h$ into a lake of density $\rho$ , where $\rho > \rho '$ . Neglecting all dissipative forces, calculate the maximum depth to which the body sinks before returning to float on the surface.

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