(A) The volume of air passing through the area $A$ in time $t$ is given by the product of the area,velocity,and time: $V = A \times v \times t$.Since

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(A) The volume of air passing through the area $A$ in time $t$ is given by the product of the area,velocity,and time: $V = A \times v \times t$.Since the density of the air is $\rho$,the mass $m$ of the air is given by the product of density and volume: $m = \rho \times V$.Substituting the expression for volume,we get: $m = \rho \times (A \times v \times t) = Av\rho t$.

Class 11 Physics Fluid Mechanics and Surface Tension Types of Flow, Equation of Continuity and Flow Rate

Easy

The blades of a windmill sweep out a circle of area $A$. If the wind flows at a velocity $v$ perpendicular to the circle,then the mass of the air of density $\rho$ passing through it in time $t$ is

A
$Av\rho t$
B
$2Av\rho t$
C
$Av^2\rho t$
D
$\frac{1}{2}Av\rho t$

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Fluid Mechanics and Surface Tension

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Types of Flow, Equation of Continuity and Flow Rate

$A$ liquid flows in a tube from left to right as shown in the figure. $A_1$ and $A_2$ are the cross-sections of the portions of the tube as shown. Then the ratio of speeds $v_1/v_2$ will be

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Two pipes of radii $2 \, cm$ and $4 \, cm$ are connected in series. What is the ratio of the flow velocities of the fluid in these pipes?

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Water coming out of the mouth of a tap and falling vertically in streamline flow forms a tapering column,i.e.,the area of cross-section of the liquid column decreases as it moves down. Which of the following is the most accurate explanation for this?

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An incompressible liquid flows through a horizontal tube as shown in the following figure. Then the velocity $v$ of the fluid is ....... $m/s$.

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The total area of cross-section is $0.25\,m^2$. If the blood is flowing at the rate of $100\,cm^3/s$,then the average velocity of flow of blood through the capillaries is ........ $mm/s$.

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The blades of a windmill sweep out a circle of area $A$. If the wind flows at a velocity $v$ perpendicular to the circle,then the mass of the air of density $\rho$ passing through it in time $t$ is

Similar Questions

$A$ liquid flows in a tube from left to right as shown in the figure. $A_1$ and $A_2$ are the cross-sections of the portions of the tube as shown. Then the ratio of speeds $v_1/v_2$ will be

Two pipes of radii $2 \, cm$ and $4 \, cm$ are connected in series. What is the ratio of the flow velocities of the fluid in these pipes?

Water coming out of the mouth of a tap and falling vertically in streamline flow forms a tapering column,i.e.,the area of cross-section of the liquid column decreases as it moves down. Which of the following is the most accurate explanation for this?

An incompressible liquid flows through a horizontal tube as shown in the following figure. Then the velocity $v$ of the fluid is ....... $m/s$.

The total area of cross-section is $0.25\,m^2$. If the blood is flowing at the rate of $100\,cm^3/s$,then the average velocity of flow of blood through the capillaries is ........ $mm/s$.

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