Exam 12: Fluid Mechanics

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Flow rate: Water flowing through a pipe suddenly comes to a section of pipe where the pipe diameter decreases to 86% of its previous value. If the speed of the water in the larger section of the pipe was Flow rate: Water flowing through a pipe suddenly comes to a section of pipe where the pipe diameter decreases to 86% of its previous value. If the speed of the water in the larger section of the pipe was   what is its speed in this smaller section? what is its speed in this smaller section?

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Pressure in a fluid: As shown in the figure, a container has a vertical tube, whose inner radius is 32.00 mm, connected to it at its side. An unknown liquid reaches level A in the container and level B in the tube-level A being 5.0 cm higher than level B. The liquid supports a 20.0-cm high column of oil, between levels B and C, whose density is 460 kg/m3. What is the density of the unknown liquid? Pressure in a fluid: As shown in the figure, a container has a vertical tube, whose inner radius is 32.00 mm, connected to it at its side. An unknown liquid reaches level A in the container and level B in the tube-level A being 5.0 cm higher than level B. The liquid supports a 20.0-cm high column of oil, between levels B and C, whose density is 460 kg/m<sup>3</sup>. What is the density of the unknown liquid?

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Buoyancy: A rock is under water in a shallow lake. As the rock sinks deeper and deeper into water, the buoyant force on it

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Bernoulli's principle: A large cylindrical water tank is mounted on a platform with its central axis vertical. The water level is 3.75 m above the base of the tank, and base is 6.50 m above the ground. A small hole 2.22 mm in diameter has formed in the base of the tank. Both the hole and the top of the tank are open to the air. We can ignore air resistance and treat water as an ideal fluid with a density of 1000 kg/m3. (a) How many cubic meters of water per second is this tank losing? (b) How fast is the water from the hole moving just as it reaches the ground?

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Bernoulli's principle: Water flows in the horizontal pipe shown in the figure. At point A the area is 25.0 cm2 and the speed of the water is 2.00 m/s. At B the area is 16.0 cm2. The fluid in the manometer is mercury, which has a density of 13,600 kg/m3. We can treat water as an ideal fluid having a density of 1000 kg/m3. What is the manometer reading h? Bernoulli's principle: Water flows in the horizontal pipe shown in the figure. At point A the area is 25.0 cm<sup>2</sup> and the speed of the water is 2.00 m/s. At B the area is 16.0 cm<sup>2</sup>. The fluid in the manometer is mercury, which has a density of 13,600 kg/m<sup>3</sup>. We can treat water as an ideal fluid having a density of 1000 kg/m<sup>3</sup>. What is the manometer reading h?

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Buoyancy: A 50-cm3 block of wood is floating partially submerged in water, and a 50-cm3 block of iron is totally submerged in water. Which block has the greater buoyant force on it?

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Pressure in a fluid : The two water reservoirs shown in the figure are open to the atmosphere, and the water has density 1000 kg/m3. The manometer contains incompressible oil with a density of 820 kg/m3. What is the difference in elevation h if the manometer reading m is 25.0 cm? Pressure in a fluid : The two water reservoirs shown in the figure are open to the atmosphere, and the water has density 1000 kg/m<sup>3</sup>. The manometer contains incompressible oil with a density of 820 kg/m<sup>3</sup>. What is the difference in elevation h if the manometer reading m is 25.0 cm?

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Bernoulli's principle: A level pipe contains a nonviscous, incompressible fluid with a density 1200 kg/m3 that is flowing steadily. At one position within the pipe, the pressure is 300 kPa and the speed of the flow is 20.0 m/s. At another position, the pressure is 200 kPa. What is the speed of the flow at this second position?

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Viscosity: A flat horizontal plate of area 400 cm2 is dragged over a 0.20 cm thick layer of oil at a speed of 30.0 cm/s. The oil is resting on a fixed horizontal surface. It takes a force 1.20 N applied to the plate to sustain this speed. What is the viscosity of the oil?

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Pascal's principle: The small piston of a hydraulic lift has a diameter of 8.0 cm, and its large piston has a diameter of 40 cm. The lift raises a load of 15,000 N. (a) Determine the force that must be applied to the small piston. (b) Determine the pressure applied to the fluid in the lift.

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Bernoulli's principle: When you blow some air above the upper face of a paper strip, the paper rises. This occurs because

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Bernoulli's principle: Incompressible water flows out of a large reservoir through a pipe that opens to the atmosphere 5.70 m below the level of the water in the reservoir. What is the speed of the water as it comes out of the pipe?

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Flow rate: Water is flowing in a horizontal pipe of diameter d. If you want to change the diameter of this pipe so that the speed of the water would be half as great as it was, what should be the new diameter?

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Buoyancy: A 6.1-kg solid sphere, made of metal whose density is 2600 kg/ Buoyancy: A 6.1-kg solid sphere, made of metal whose density is 2600 kg/   , is suspended by a cord. When the sphere is immersed in a liquid of unknown density, the tension in the cord is 26 N. Find the density of the liquid. , is suspended by a cord. When the sphere is immersed in a liquid of unknown density, the tension in the cord is 26 N. Find the density of the liquid.

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Viscosity: Motor oil, with a viscosity of 0.250 N ∙ s/m2, is flowing through a tube that has a radius of 5.00 mm and is 25.0 cm long. The drop in pressure is 300 kPa. What is the volume of oil flowing through the tube per second?

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Buoyancy: If you double the pressure on the surface of a can of water, the buoyant force on a stone placed in that water will

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Bernoulli's principle: A horizontal tube consists of a Bernoulli's principle: A horizontal tube consists of a   pipe that narrows to a 2.0-cm-diameter throat. In the pipe, the water pressure is twice atmospheric pressure and the water flows with a speed of   What is the pressure in the throat, assuming that the water behaves like an ideal fluid? The density of water is 1000 kg/m<sup>3</sup>, and atmospheric pressure is 1.01 × 10<sup>5</sup> Pa. pipe that narrows to a 2.0-cm-diameter throat. In the pipe, the water pressure is twice atmospheric pressure and the water flows with a speed of Bernoulli's principle: A horizontal tube consists of a   pipe that narrows to a 2.0-cm-diameter throat. In the pipe, the water pressure is twice atmospheric pressure and the water flows with a speed of   What is the pressure in the throat, assuming that the water behaves like an ideal fluid? The density of water is 1000 kg/m<sup>3</sup>, and atmospheric pressure is 1.01 × 10<sup>5</sup> Pa. What is the pressure in the throat, assuming that the water behaves like an ideal fluid? The density of water is 1000 kg/m3, and atmospheric pressure is 1.01 × 105 Pa.

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Density: A certain coin has a diameter of 21.21 mm, a thickness of 1.95 mm, and weighs 0.04905 N. What is its density?

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Buoyancy: A rock is suspended from a scale reads 20.0 N. A beaker of water (having a density of 1000 kg/m3) is raised up so the rock is totally submerged in the water. The scale now reads 12.5 N. What is the density of the rock?

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Pressure in a fluid: The weight of a car of mass 1.20 × 103 kg is supported equally by the four tires, which are inflated to the same gauge pressure. What gauge pressure in the tires is required so the area of contact of each tire with the road is 1.00 × 102 cm2? (1 atm = 1.01 × 105 Pa.)

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