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Hydrodynamics practice with solutions.pdf - Hydrodynamics...

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Hydrodynamics practice questions with solutionsPressure52. The greatest ocean depths on Earth are found in the Marianas Trench near the Philippines.Calculate the pressure due to the ocean at the bottom of this trench, given its depth is 11.0 kmand assuming the density of seawater is constant all the way down.53. Verify that the SI unit ofis.58. Assuming bicycle tires are perfectly flexible and support the weight of bicycle and rider bypressure alone, calculate the total area of the tires in contact with the ground if a bicycle andrider have a total mass of 80.0 kg, and the gauge pressure in the tires is.60. What force must be exerted on the master cylinder of a hydraulic lift to support the weight ofa 2000-kg car (a large car) resting on a second cylinder? The master cylinder has a 2.00-cmdiameter and the second cylinder has a 24.0-cm diameter.74. A 75.0-kg man floats in freshwater with 3.00% of his volume above water when his lungs areempty, and 5.00% of his volume above water when his lungs are full. Calculate the volume of airhe inhales—called his lung capacity—in liters. (b) Does this lung volume seem reasonable?75. What is the average flow rate inof gasoline to the engine of a car traveling at 100km/h if it averages 10.0 km/L?Solution2.7879. What is the average fluid speed in a fire hose with a 9.00-cm diameter carrying 80.0 L ofwater per second? (b) What is the flow rate in cubic meters per second? (c) Would your answersbe different if salt water replaced the fresh water in the fire hose?Solution82. Water emerges straight down from a faucet with a 1.80-cm diameter at a speed of 0.500 m/s.(Because of the construction of the faucet, there is no variation in speed across the stream.) (a)What is the flow rate in cm3/s? (b) What is the speed of the water 0.2 m below the faucet? (c)What is the diameter of the stream 0.200 m below the faucet? Neglect any effects due to surfacetension.30.0800 m/s3cm /s
93. The arterioles (small arteries) leading to an organ constrict in order to decrease flow to theorgan. To shut down an organ, blood flow is reduced naturally to 1.00% of its original value. Bywhat factor do the radii of the arterioles constrict?

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