Exam 15: Fluid Mechanics

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A natural gas pipeline with a diameter 0.250 m delivers 1.55 cubic meters of gas per second.What is the flow speed of the gas in the pipeline?

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A Boeing 737 airliner has a mass of 20 000 kg and the total area of both wings (top or bottom)is 100 m2.What is the pressure difference between the top and bottom surface of each wing when the airplane is in flight at a constant altitude?

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A hose has been clamped so that the area at the clamp is only one quarter the area of the rest of the hose.When we ignore the viscosity of water,the ratio of the volume of water delivered per unit time when the clamp is on to the volume of water delivered per unit time without the clamp is

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What is the net force inward acting on a spherical bathysphere of diameter 2.00 m at an ocean depth of 1 000 m? (The pressure inside the bathysphere is,hopefully,1 ATM. ) ρ\rho (sea water) = 1.02* 103 kg/m3.

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A boat is floating in a small pond.The boat then sinks resting on the bottom,but the pond is so shallow that part of the boat is not submerged.What happens to the level of the pond?

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A thin rectangular piece of wood floats in water.You slowly pour oil with a density equal to that of the wood on the surface of the water until the height of the oil above the water is twice the height of the piece of wood.Which statement is correct?

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Find the pressure in atmospheres in the water at the base of Dworshak Dam if the water in the reservoir is 200 meters deep.(1.01 *105 N/m2 = 1 ATM. )

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A fountain sends water to a height of 100 meters.What must be the pressurization (above atmospheric)of the water system? 1 ATM = 1.01 *105 N/m2.

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Water is sent from a firehose at 30.0 m/s at an angle of 30.0 °\degree above the horizontal.What is the maximum height reached by the water?

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People can snorkel down to a depth of roughly one meter.This means that the additional pressure on the air in their lungs is roughly

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A hydraulic lift raises a 2 000-kg automobile when a 500-N force is applied to the smaller piston.If the smaller piston has an area of 10 cm2,what is the cross-sectional area of the larger piston?

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To the nearest percent,what fraction of an iceberg is submerged? ( ρ\rho ice = 917 kg/m3, ρ\rho sea = 1.03 * 103 kg/m3. )

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Determine the minimum area of a flat ice floe 1.0 meter thick if it is to support a 2 000-kg car above seawater.( ρ\rho ice = 920 kg/m3, ρ\rho sea = 1 020 kg/m3. )

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A blimp is filled with 200 m3 of helium.How much mass can the balloon lift? The density of helium is one-seventh that of air,and the density of air is 1/800 that of water.Consider the mass of the balloon to be negligible.

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The water level in a reservoir is maintained at a constant level.What is the exit velocity in an outlet pipe 3.0 m below the water surface?

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In a wind tunnel the pressure on the top surface of a model airplane wing is 8.8*104 N/m and the pressure on the bottom surface is 9.0 *104 N/m2.If the area of the top and bottom surfaces of each wing is 2.0 m2,what is the total lift on the model airplane?

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A venturi tube may be used as the inlet to an automobile carburetor.If the 2.0-cm diameter pipe narrows to a 1.0-cm diameter,what is the pressure drop in the constricted section for an airflow of 3.0 m/s in the 2.0-cm section? ( ρ\rho = 1.2 kg/m3. )

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Exhibit 14-1 A dictator has built a bunker for his use in emergencies.Its dimensions are shown below.When it floods to ground level during a tropical storm,air is trapped above the dashed line in the bunker. Exhibit 14-1  A dictator has built a bunker for his use in emergencies.Its dimensions are shown below.When it floods to ground level during a tropical storm,air is trapped above the dashed line in the bunker.   Use this exhibit to answer the following question. -Refer to Exhibit 14-1.The gauge pressure at point A,in Pa,is Use this exhibit to answer the following question. -Refer to Exhibit 14-1.The gauge pressure at point A,in Pa,is

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A cube of water ice ( ρ\rho = 0.917 * 103 kg/m3)is placed in mercury ( ρ\rho = 13.6 * 103 kg/m3),which is liquid at 0 °\degree Celsius.If we ignore any possible melting of the ice cube and problems with the surface tension of mercury,the fraction of the ice cube that floats above the surface of the mercury is

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A supertanker filled with oil has a total mass of 6.1 * 108 kg.If the dimensions of the ship are those of a rectangular box 300 meters long,80 meters wide,and 40 meters high,determine how far the bottom of the ship is below sea level.( ρ\rho sea = 1 020 kg/m3. )

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