Fluid Mechanics

A jet of water having velocity$=10 \mathrm{m} {\mathrm{s}}^{-1}$ and stream cross-section$=2 {\mathrm{cm}}^2$ hits a flat plate perpendicularly, with the water splashing out parallel to plate. Find the force that the plate experiences

A beaker is half filled with water. It is allowed to slip down an inclined plane with angle of inclination to the horizontal. The level of water in the beaker will be :-

"When the water tap is closed with our fingers jets of water gush through the space between fingers
with high speed". Why ?

What is the use of a filter pump ? How does it work ?

Show that the pressure energy per unit volume of a liquid is P.

The cross-section area of the pipe shown in Fig is $50 c{m}^2$ at the wider portions and $20 c{m}^2$ at the constriction. The rate of flow of water through the pipe is $4000 \raisebox{1ex}{$c{m}^3$}\!\left/ \!\raisebox{-1ex}{$s$}\right.$. Find the difference in height between the mercury columns in the U-tube.

The diameter of a pipe at two points where a venturimeter is connected is $5 cm$ and $8 cm$  and the difference of level in it is $4 cm$. Calculate the mass of water flowing through the pipe per second.

A wide tank is filled with water and kerosene. The tank has a small hole at the bottom. The height of water layer is $40 cm$ and that of the kerosene layer is $30 cm$. Find the velocity of the water flow, neglecting the viscosity. Given relative density of kerosene is $0.80$.

In a test experiment on a model aeroplane in a wind tunnel, the flow speeds on the upper and lower surfaces of the wing are $70 m{s}^{-1}$ and$63 m{s}^{-1}$ respectively. What is the lift on the wing if its area is $2.5 m^2$? Take the density of air to be $1.3 kg{m}^{-3}$.
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Water is maintained at a height of $10 m$ in a tank. Calculate the diameter of orifice needed at the base of the tank to discharge water at the rate of $26.4 \raisebox{1ex}{$m^3$}\!\left/ \!\raisebox{-1ex}{$min$}\right.$.

Calculate the speed of efflux of kerosene oil from an orifice of a tank in which pressure is $4 atmosphere$. Density of kerosene oil $=0.72 \raisebox{1ex}{$kg$}\!\left/ \!\raisebox{-1ex}{$litre$}\right.$.

Water flows through a hose (pipe) whose internal diameter is $2 cm$ at a speed of $1 \raisebox{1ex}{$m$}\!\left/ \!\raisebox{-1ex}{$s$}\right.$. What should be the diameter of the nozzle if the water is to emerge at a speed of $4 \raisebox{1ex}{$m$}\!\left/ \!\raisebox{-1ex}{$s$}\right.$ .

An orifice of diameter $8 mm$ is made on one side of a tank in which water level is $10 mm$ above the orifice. What is the rate of discharge of water through the orifice?

A capillary tube of length $5 cm$ and diameter $1 mm$ is connected to a tank horizontally. The rate of flow of water is $10 cc$ per minute. Calculate the rate of flow of water through another capillary tube of diameter $2 mm$ and length $50 cm$ is connected in series with the first capillary ?

A flat plate is separated from a large plate by a layer of glycerine of thickness $3\times {10}^{-3} m$. lf the coefficient of viscosity of glycerine is $2 \raisebox{1ex}{$Ns$}\!\left/ \!\raisebox{-1ex}{$m^2$}\right.$ what is the force required to keep the plate moving with a velocity of $6\times {10}^{-2} \raisebox{1ex}{$m$}\!\left/ \!\raisebox{-1ex}{$s$}\right.$. Area of the plate is $4.8\times {10}^{-3} m^2$.

An iron block is suspended from a string and is then completely immersed in a container of water. The mass of iron is $1 kg$ and its density is $7200 \raisebox{1ex}{$kg$}\!\left/ \!\raisebox{-1ex}{$m^3$}\right.$. What is the tension in the string before and after the iron block is immersed ?

A piece of wood of volume $0.6 m^3$ floats in water. Find the volume exposed. What force is required to immerse it completely under water ? Density of wood $=800 \raisebox{1ex}{$kg$}\!\left/ \!\raisebox{-1ex}{$m^3$}\right.$.
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A hydraulic automobile lift is designed to lift cars with a maximum mass of $3000 kg$. The area of cross-section of the piston carrying the load is $425 c{m}^2$. What maximum pressure would the small piston have to bear?

Water is moving with a speed of $5.18 \mathrm{m} {\mathrm{s}}^{-1}$ through a pipe with a cross-sectional area of $4.20 {\mathrm{cm}}^2$. The water gradually descends $9.66 \mathrm{m}$ as the pipe increases in area to $7.60 {\mathrm{cm}}^2$. The speed of flow at the lower level is

What is the primary objective of financial management in business?