Exam 15: Fluids

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The buoyant force acting on an object is equal to the weight of the object.

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The weight of a 1200-kg car is supported equally by the four tires, which are inflated to the same gauge pressure. What gauge pressure is required so the area of contact of each tire with the road is 100 cm2?

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A fluid is flowing with an average speed of 1.50 m/s through a tube that has a radius of 2.00 mm and is 18 cm long. The drop in pressure is 967 Pa. What is the viscosity of the fluid?

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FIGURE 15-1 FIGURE 15-1   -Each of the three containers shown in Figure 15-1 weighs the same amount and is filled with water to the same level. All three have the same surface area in contact with the table. Which of the following statements are true? I. The pressure at the bottom surface of the container is the same for all three containers. II. The force exerted by the water on the bottom surface of the container is the same For all three containers. III. The force exerted by the container on the table is the same for all three containers. -Each of the three containers shown in Figure 15-1 weighs the same amount and is filled with water to the same level. All three have the same surface area in contact with the table. Which of the following statements are true? I. The pressure at the bottom surface of the container is the same for all three containers. II. The force exerted by the water on the bottom surface of the container is the same For all three containers. III. The force exerted by the container on the table is the same for all three containers.

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FIGURE 15-8 FIGURE 15-8   -A cylinder, semicircular in cross-section, 10.0 m long and 5.00 m in radius, is completely submerged, with its flat 5.00 m × 10.0 m side horizontal and 8,00 m below the water surface, as shown in Figure 15-8. What is the force on the curved surface of the half-cylinder? Neglect atmospheric pressure. -A cylinder, semicircular in cross-section, 10.0 m long and 5.00 m in radius, is completely submerged, with its flat 5.00 m × 10.0 m side horizontal and 8,00 m below the water surface, as shown in Figure 15-8. What is the force on the curved surface of the half-cylinder? Neglect atmospheric pressure.

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A boat loaded with ice is floating in a swimming pool. If the ice is thrown into the pool, the water level in the pool, once the ice stops bobbing and floats steadily,

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FIGURE 15-12 FIGURE 15-12   -Water flows in the vertical pipe shown in Figure 15-12. At A the area is 25.0 cm<sup>2</sup> and the speed of the water is 3.30 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>. What is the manometer reading h? -Water flows in the vertical pipe shown in Figure 15-12. At A the area is 25.0 cm2 and the speed of the water is 3.30 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. What is the manometer reading h?

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Consider three drinking glasses. All three have the same area base, and all three are filled to the same depth with water. Glass A is cylindrical. Glass B is wider at the top than at the bottom, and so holds more water than A. Glass C is narrower at the top than at the bottom, and so holds less water than A. Which glass has the greatest liquid pressure at the bottom?

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State Pascal's Principle

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The equation of continuity is a statement of the

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Salt water is more dense than fresh water. A ship floats in both fresh water and salt water. Compared to the fresh water, the volume of water displaced in the salt water is

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The flow of water emerging from a hole in a container is best described in terms of

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When atmospheric pressure changes, what happens to the absolute pressure at the bottom of a pool?

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A U-tube is open to the atmosphere at both ends. Water is poured into the tube until the water rises part-way along the straight sides, and then some oil with a density of 920 kg/m3 is poured into one end. This causes the water surface on that side of the tube to go down by 5.50 mm and the surface on the other side to go up by the same amount. How much higher is the top surface of the oil on that side of the tube compared with the surface of the water on the other side of the tube?

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Motor oil, with a viscosity of 0.250 Ns/m2, is flowing through a tube that has a radius of 3.00 mm and is 1.00 m long. The drop in pressure is 200 kPa. What is the average speed of the oil?

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FIGURE 15-10 FIGURE 15-10   -Water flows in the horizontal pipe shown in Figure 15-10. At A the area is 25.0 cm<sup>2</sup> and the speed of the water is 2.80 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>. What is the manometer reading h? -Water flows in the horizontal pipe shown in Figure 15-10. At A the area is 25.0 cm2 and the speed of the water is 2.80 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. What is the manometer reading h?

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FIGURE 15-2 FIGURE 15-2   -Water flows in a pipe as shown in Figure 15-2. The pipe is horizontal at points A and B, then rises in elevation while decreasing in diameter and is again horizontal at points C and D. The vertical tubes at B and D are open at the top, but they enter the pipe and bend at right angles along the centerline of the pipe with their mouths facing the flow (these are Pitot tubes). Water enters the Pitot tube and rises until the hydrostatic pressure in the tube balances the pressure at the mouth of the tube. Because no more water enters the tube, the speed of the water just outside the mouth of the tube is zero m/s. The pressure in the pipe is unaffected by the Pitot tube. Which of the following statements is correct? -Water flows in a pipe as shown in Figure 15-2. The pipe is horizontal at points A and B, then rises in elevation while decreasing in diameter and is again horizontal at points C and D. The vertical tubes at B and D are open at the top, but they enter the pipe and bend at right angles along the centerline of the pipe with their mouths facing the flow (these are Pitot tubes). Water enters the Pitot tube and rises until the hydrostatic pressure in the tube balances the pressure at the mouth of the tube. Because no more water enters the tube, the speed of the water just outside the mouth of the tube is zero m/s. The pressure in the pipe is unaffected by the Pitot tube. Which of the following statements is correct?

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The buoyant force acts through the center of mass of the displaced fluid.

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The pressure drop in a tube carrying a viscous fluid is described by

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The density of air is 1.29 kg/m3. What is the mass of the air inside a room 4.0 m × 3.0 m × 2.0 m?

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