Exam 13: Fluids

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Bernoulli's equation for nonviscous flow can be stated as  Bernoulli's equation for nonviscous flow can be stated as   A fluid is flowing through a horizontal tube that changes in cross-sectional area from A<sub>1</sub>= 0.75 cm<sup>2</sup> to A<sub>2</sub> = 0.030 cm<sup>2</sup>.   When v<sub>1</sub> = 3.5 cm/s, \rho  = 1.4 g/cm<sup>3</sup>,and viscosity is neglected,the difference between pressure P<sub>2</sub> at A<sub>2</sub> and P<sub>1</sub> at A<sub>1</sub> is A fluid is flowing through a horizontal tube that changes in cross-sectional area from A1= 0.75 cm2 to A2 = 0.030 cm2.  Bernoulli's equation for nonviscous flow can be stated as   A fluid is flowing through a horizontal tube that changes in cross-sectional area from A<sub>1</sub>= 0.75 cm<sup>2</sup> to A<sub>2</sub> = 0.030 cm<sup>2</sup>.   When v<sub>1</sub> = 3.5 cm/s, \rho  = 1.4 g/cm<sup>3</sup>,and viscosity is neglected,the difference between pressure P<sub>2</sub> at A<sub>2</sub> and P<sub>1</sub> at A<sub>1</sub> is When v1 = 3.5 cm/s, ρ\rho = 1.4 g/cm3,and viscosity is neglected,the difference between pressure P2 at A2 and P1 at A1 is

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An air-conditioning system is designed to fill a room of 10 m ×\times 8 m ×\times 6 m with fresh air every 20 minutes.If the circular air duct has a diameter of 13 cm,calculate the speed of airflow in the duct.

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A penny has a mass of 3.0 g,a diameter of 1.9 cm,and a thickness of 0.15 cm.What is the density of the metal of which it is made?

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Sea water of density 1.03 ×\times 103 kg/m3 is in streamline flow through a Venturi meter.The pressure difference between the main pipe and the constriction is 20.7 kPa,and the flow velocity in the constriction is 7.32 m/s.The flow velocity in the main pipe is

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A large spherical air balloon is filled with helium.If the balloon is to lift three people,each approximately 80 kg,plus a basket and balloon outer covering material of mass 50 kg,calculate the minimum radius of the balloon.Assume values of the density of air and helium to be 1.29 kg/m3 and 0.18 kg/m3 respectively.

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Sea water of density 1.03 ×\times 103 kg/m3 is in streamline flow through a Venturi meter.The cross-sectional areas of the main pipe and the constriction are 0.139 m2 and 0.0464 m2,respectively,and the pressure difference between the two portions is 55.2 kPa.The velocity of flow in the main pipe is

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The U-tube in the figure is sealed at both ends.It contains a gas in A,another gas in B,and mercury in C.The heights of the mercury in the two arms are as shown.The density of mercury is 13.6 g/cm3.If the pressure in A is 1 ×\times 104 dyn/cm2,the pressure in B is  The U-tube in the figure is sealed at both ends.It contains a gas in A,another gas in B,and mercury in C.The heights of the mercury in the two arms are as shown.The density of mercury is 13.6 g/cm<sup>3</sup>.If the pressure in A is 1  \times  10<sup>4</sup> dyn/cm<sup>2</sup>,the pressure in B is

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Water flows at speed v in a pipe of radius r.Neglecting viscosity,at what speed does the water flow through a constriction in which the radius of the pipe is r/3?

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Cities across the U.S.supply fresh water to the residents at constant pressure by the use of water towers.If the diameter,d2,of the pipe coming out of the tower is 25 cm,and the diameter,d1,of the pipe at your home is 2.0 cm,what is the ratio of the velocity of the water at d1 compared to d2? Assume that all the taps are off except yours.

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A block of material has a density ρ\rho .A second block of equal mass has twice the volume of the first.What is the density of the second block?

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Which gas has the lowest density under standard temperature and pressure?

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Use the figure to the right to answer the next problem. A beaker is filled with water.A small plastic container contains a solid bar of aluminum,which has a mass of 40 g,and is placed on the water so that it floats.The water level reads 60 ml.Next,the bar of aluminum is taken out of the container and placed in the water so that it sinks to the bottom. Use the figure to the right to answer the next problem. A beaker is filled with water.A small plastic container contains a solid bar of aluminum,which has a mass of 40 g,and is placed on the water so that it floats.The water level reads 60 ml.Next,the bar of aluminum is taken out of the container and placed in the water so that it sinks to the bottom.   -The water level in the beaker _____ -The water level in the beaker _____

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The atmospheric pressure deceases exponentially with height.At 5.5 km,the pressure is half that at sea level.At what height is the pressure one eighth that of sea level?

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Is it possible to float an object that is less dense that water when the amount of the water is less than the weight of the object? Is it possible to float an object that is less dense that water when the amount of the water is less than the weight of the object?

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A glass is filled with water.The gauge pressure at the top of the glass is zero and the gauge pressure at the bottom is P.A second glass with three times the height and twice the diameter is also filled with water.What is the pressure at the bottom of the second glass?

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The drag force on a plane is proportional to the density of the air.By what factor does the drag force change if a plane goes from an altitude 5.5 km to 11 km? The atmospheric pressure goes from The drag force on a plane is proportional to the density of the air.By what factor does the drag force change if a plane goes from an altitude 5.5 km to 11 km? The atmospheric pressure goes from   to   atm in going from 5.5 km to 11 km.Assume that the plane is at level flight and flies at the same speed. to The drag force on a plane is proportional to the density of the air.By what factor does the drag force change if a plane goes from an altitude 5.5 km to 11 km? The atmospheric pressure goes from   to   atm in going from 5.5 km to 11 km.Assume that the plane is at level flight and flies at the same speed. atm in going from 5.5 km to 11 km.Assume that the plane is at level flight and flies at the same speed.

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Which curve best represents the variation in pressure with depth in a fluid,assuming constant density? Which curve best represents the variation in pressure with depth in a fluid,assuming constant density?

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A solid wooden sphere of volume 0.0100 m3 floats freely exactly one-half submerged in a liquid of density 800 kg/m3.A lightweight cord is now tied to the sphere and is used to pull the sphere under the surface and hold it completely submerged.What is the tension in the cord?

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You are floating in a boat in a swimming pool.The boat contains some blocks of wood.The specific gravity of the wood is 0.66.You throw the wood blocks into the pool.When the waves settle,the depth of the water in the pool

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An incompressible fluid is in streamline flow through a Venturi meter,as shown.In the graph,one of the curves is a calibration curve for the meter,showing the fluid velocity plotted against the gauge reading.Which curve best represents the calibration data? An incompressible fluid is in streamline flow through a Venturi meter,as shown.In the graph,one of the curves is a calibration curve for the meter,showing the fluid velocity plotted against the gauge reading.Which curve best represents the calibration data?

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