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Numerical Problems | Chapter 6 | Fluid Mechanics | Physics 11th | National Book Foundation | FBISE
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The settling speed of a small fog droplet is air is found to be 2.98〖mms〗^(-1). Find out the radius of the droplet. The coefficient of viscosity of air is 1.9×〖10〗^(-5) kgm^(-1) s^(-1).
Water is flowing at a velocity of 2.00m/s through a hose with an internal diameter of 1.60cm. (a) what is the flow rate in liters per second? (b) The fluid velocity in this hose’s nozzle is 15.0m/s. What is the nozzle’s inside diameter?
Blood is pumped from the heart at a rate of 5.0L/min into the aorta (of radius 1.0cm). Determine the speed of blood through aorta.
Water flows through a pipe whose internal diameter is 4cm at a speed of 2m/s. What should be the diameter of the nozzle, if the water is to emerge out with a speed of 4m/s.
A hose lying on the ground has water coming out of it at a speed of 5.4m/s. You lift the nozzle of the hose to a height of 1.3m above the ground. At what speed does the water now come out of the hose?
A pipe has two different cross-sectional areas, A_1=25〖cm〗^2 and A_2=4〖cm〗^2 respectively. The volumetric flow rate of water through the pipe is 5×〖10〗^(-3) m^3/s. Determine: (a) the speed of water inn both cross-sectional areas of the pipe. (b) the pressure difference between them. (ρ=〖10〗^3 kg/m^3)
The speed of water in a hose increased from 1.96m/s to 25.5m/s going from the hose to the nozzle. Calculate the pressure in the hose, given that the absolute pressure in the nozzle is 1.01×〖10〗^5 N/m^2 (atmospheric, as it must be) and assuming level and frictionless flow.
Data:
A hole is drilled at the bottom of a full bucket of water of height h. What will be the velocity of water that exits from the hole?
The efflux speed of an oil from a narrow hole of a tank is 33.8m/s, at pressure of 4.12×〖10〗^5 Pa. Calculate the density of the oil?
If the speed of air across the top and bottom of a small aeroplane’s wing is 30m/s and 20m/s respectively. Calculate the pressure difference between the top and bottom of wings if ρ=1.29kg/m^3, for air.
An empty metrological balloon has weight 80N. How much maximum contents the balloon can lift besides its own weight if it is filled with 10m^3 of hydrogen? (Density of hydrogen =0.09kgm^(-3), Density of air =1.3kgm^(-3)).
Why do athletes such as swimmers and bicyclists wear body suits in competition.
Distinguish between turbulent and streamline flow.
When there is a change in the width of the river. The speed of the water decreases in wider regions whereas the speed of water increases in the narrower regions. Why?
It is dangerous to stand close to rail tracks when a rapidly moving commuter train passes. Explain why?
Verify that pressure has units of energy per unit volume.
A perfume bottle or atomizer sprays a fluid from inside the bottle when it is pressed. How does the fluid rise up in the vertical tube in the bottle?
If you lower the window on a car while moving, an empty plastic bag can sometimes fly out the window. Why does this happen?
Explain how an upthrust is produced when the aeroplane is running on runway?
Why does a ball placed in a vertical air jet become suspended (as shown in figure)?
Can you increase flow velocity of water in a rubber pipe by squeezing? Explain briefly.
What is meant by superfluid? How is superfluid made?
6.1 An object, which is made up of iron, has density 𝟕.𝟖𝒈/〖𝒄𝒎〗^𝟑 appears 200N lighter in water than in air. Calculate: (a) The volume of the object? (b) The weight of the object in the air?
6.2 Find the terminal velocity obtained by a raindrop of radius 𝟎.𝟑𝒎𝒎 falling through air of viscosity 𝟏.𝟖×〖𝟏𝟎〗^(−𝟓) 𝒌𝒈𝒎^(−𝟏) 𝒔^(−𝟏).
6.3 Why the deep water flows slowly as compared to shallow water in rivers?
6.4 If the speed of air across the top and bottom of an aeroplane’s wing is 𝟒𝟓𝟎𝒎/𝒔 and 𝟒𝟏𝟎𝒎/𝒔 respectively. Calculate the lift on the wings if the wing is 𝟏𝟓𝒎 long and 𝟑𝒎 wide (𝝆=𝟏.𝟐𝟗𝒌𝒈/𝒎^𝟑 for air).
The settling speed of a small fog droplet is air is found to be 2.98〖mms〗^(-1). Find out the radius of the droplet. The coefficient of viscosity of air is 1.9×〖10〗^(-5) kgm^(-1) s^(-1).
Water is flowing at a velocity of 2.00m/s through a hose with an internal diameter of 1.60cm. (a) what is the flow rate in liters per second? (b) The fluid velocity in this hose’s nozzle is 15.0m/s. What is the nozzle’s inside diameter?
Blood is pumped from the heart at a rate of 5.0L/min into the aorta (of radius 1.0cm). Determine the speed of blood through aorta.
Water flows through a pipe whose internal diameter is 4cm at a speed of 2m/s. What should be the diameter of the nozzle, if the water is to emerge out with a speed of 4m/s.
A hose lying on the ground has water coming out of it at a speed of 5.4m/s. You lift the nozzle of the hose to a height of 1.3m above the ground. At what speed does the water now come out of the hose?
A pipe has two different cross-sectional areas, A_1=25〖cm〗^2 and A_2=4〖cm〗^2 respectively. The volumetric flow rate of water through the pipe is 5×〖10〗^(-3) m^3/s. Determine: (a) the speed of water inn both cross-sectional areas of the pipe. (b) the pressure difference between them. (ρ=〖10〗^3 kg/m^3)
The speed of water in a hose increased from 1.96m/s to 25.5m/s going from the hose to the nozzle. Calculate the pressure in the hose, given that the absolute pressure in the nozzle is 1.01×〖10〗^5 N/m^2 (atmospheric, as it must be) and assuming level and frictionless flow.
Data:
A hole is drilled at the bottom of a full bucket of water of height h. What will be the velocity of water that exits from the hole?
The efflux speed of an oil from a narrow hole of a tank is 33.8m/s, at pressure of 4.12×〖10〗^5 Pa. Calculate the density of the oil?
If the speed of air across the top and bottom of a small aeroplane’s wing is 30m/s and 20m/s respectively. Calculate the pressure difference between the top and bottom of wings if ρ=1.29kg/m^3, for air.
An empty metrological balloon has weight 80N. How much maximum contents the balloon can lift besides its own weight if it is filled with 10m^3 of hydrogen? (Density of hydrogen =0.09kgm^(-3), Density of air =1.3kgm^(-3)).
Why do athletes such as swimmers and bicyclists wear body suits in competition.
Distinguish between turbulent and streamline flow.
When there is a change in the width of the river. The speed of the water decreases in wider regions whereas the speed of water increases in the narrower regions. Why?
It is dangerous to stand close to rail tracks when a rapidly moving commuter train passes. Explain why?
Verify that pressure has units of energy per unit volume.
A perfume bottle or atomizer sprays a fluid from inside the bottle when it is pressed. How does the fluid rise up in the vertical tube in the bottle?
If you lower the window on a car while moving, an empty plastic bag can sometimes fly out the window. Why does this happen?
Explain how an upthrust is produced when the aeroplane is running on runway?
Why does a ball placed in a vertical air jet become suspended (as shown in figure)?
Can you increase flow velocity of water in a rubber pipe by squeezing? Explain briefly.
What is meant by superfluid? How is superfluid made?
6.1 An object, which is made up of iron, has density 𝟕.𝟖𝒈/〖𝒄𝒎〗^𝟑 appears 200N lighter in water than in air. Calculate: (a) The volume of the object? (b) The weight of the object in the air?
6.2 Find the terminal velocity obtained by a raindrop of radius 𝟎.𝟑𝒎𝒎 falling through air of viscosity 𝟏.𝟖×〖𝟏𝟎〗^(−𝟓) 𝒌𝒈𝒎^(−𝟏) 𝒔^(−𝟏).
6.3 Why the deep water flows slowly as compared to shallow water in rivers?
6.4 If the speed of air across the top and bottom of an aeroplane’s wing is 𝟒𝟓𝟎𝒎/𝒔 and 𝟒𝟏𝟎𝒎/𝒔 respectively. Calculate the lift on the wings if the wing is 𝟏𝟓𝒎 long and 𝟑𝒎 wide (𝝆=𝟏.𝟐𝟗𝒌𝒈/𝒎^𝟑 for air).
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