Exam 9: Fluids

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An incompressible fluid is flowing through a pipe with a constriction. The pipe is on an incline with an angle of 30.0 degrees from the horizontal. The narrow section is 10.0 m from the wide section and the narrow section is higher than the wide section. The velocity of the fluid in the wide section of the pipe is 4.00 m/s and the velocity of the fluid in the narrow section of pipe is 9.00 m/s. The pressure of the fluid in the wide section is 250 kPa. What is the pressure in the narrow section of the pipe? (density of the fluid is 1,000 kg/m3)

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An incompressible fluid is flowing through a vertical pipe with a constriction. The wide section is 2.00 cm in diameter and is at the top of the pipe. The pressure of the fluid in the wide section at the top is 200 kPa. The velocity of the fluid in the wide section is 4.00 m/s. The narrow section is located 8.00 m below the wide section. What is the diameter of the narrow section, if the pressure of the fluid in the narrow section is equal to the pressure in the wide section? (density of the fluid is 680 kg/m3)

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A submarine is located 1.000 km below the surface of the water. What is the absolute pressure of the seawater on the outside of the submarine? (density of seawater is 1,025 kg/m3)

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Atmospheric pressure is 1.013 × 105 N/m2. The pressure of the atmosphere in pounds/in2 is

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A small hole is cut in the bottom of a water storage tank. The depth of the water is 8.00 m. If the diameter of the small hole in the bottom of the tank is 1.00 cm, then what is the flow rate of the water leaving the tank?

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A 1.50 kg hollow steel ball is submerged in water. Its weight in water is 10.75 N. The volume of the cavity inside the ball is (density of steel is 7,900 kg/m3)

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A 10 kg ball weighs 98 N in air and weighs 75 N when submerged in water. The upward buoyant force on the ball is

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A 2 kg ball is floating in water. The volume of water displaced by the ball is

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Water is flowing through a pipe with a constriction. The area of the narrow section is one-half the area of the wide section. If the velocity of the incompressible fluid is 3.2 m/s in the narrow section, then what is the velocity of the fluid in the wide section?

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The difference in blood pressure between the head and the foot of a person who is 2.00 m tall and resting on an incline that is at an angle of 30.0 degrees to the horizontal is (density of blood is 1,060 kg/m3)

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A small steel sphere falls with terminal velocity of 2.00 cm/s in a viscous fluid. If the radius of the steel sphere is doubled, what will the new terminal velocity of the sphere be?

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An incompressible fluid is flowing through a horizontal pipe with a constriction. The velocity of the fluid in the wide section of the pipe is 5.00 m/s. The diameter of the wide section is 10.0 cm and the diameter of the narrow section is 8.00 cm. The pressure of the fluid in the wide section is 200 kPa. What is the pressure in the narrow section of the pipe? (density of the fluid is 680 kg/m3)

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A ball naturally floats with 35% of its volume above the surface of a pool filled with mercury (density 13,600 kg/m3). If a force of 1,200 N is required to force the ball completely under water, what is the radius of the ball?

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A cylindrical tank (height h, radius r) is full to the brim of water and its top is open to the outside air. What expression describes the speed of fluid flowing out of a hole that is opened up at height h′ above the bottom of the tank?

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A viscous fluid is flowing through a small tube at a rate of 0.200 m3/s. If the pressure difference across the tube is doubled, and the length of the tube is halved, and the radius is also doubled, then what is the new rate of flow of the fluid?

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Mercury has a density of 13,600 kg/m3. The height of a column of mercury that would produce a pressure of 1.013 × 105 N/m2 is

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An incompressible fluid is flowing through a horizontal pipe with a constriction. The velocity of the fluid in the wide section of the pipe is 5.00 m/s and the velocity of the fluid in the narrow section of pipe is 8.00 m/s. The pressure of the fluid in the wide section is 200 kPa. What is the pressure in the narrow section of the pipe? (density of the fluid is 680 kg/m3)

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The pressure at a depth of 1.25 m in a tank of liquid is measured to be 125.5 kPa. The tank is open to the outside air, which is at a pressure of 102.0 kPa. What is the density of the fluid?

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What is the force on the top surface of a 10.5 cm-diameter soup can that is submerged in seawater (density 1,017 kg/m3) at a depth of 350 m? The air pressure at the surface is 101.5 kPa.

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The surface tension of soapy water is 0.0250 N/m. What is the height of the water in a capillary tube of diameter 2.00 mm?

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