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Fluid Mechanics
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Fluid Mechanics
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21 Questions

1. In Question 320, how high can the bend in the siphon be above the liquid level and still work?
2. Evangelista Torricelli found that his mercury barometer had a column of mercury 760 mm/Hg at his town of Faenza, Italy, which is 50 m above sea level. That same day, he took his barometer into the mountains west of town and found that the mercury column was 720 mm/Hg. When he returned to Faenza, it was raining and the column remained the same. Why? (Assume the temperature remained the same.)
3. In Question 320, how high can the bend in the siphon be above the liquid level and still work?
4. If the tank in Question 313 was closed and the internal pressure at the outlet was maintained at 690 kPa, what is the outlet velocity when opened?
5. A U tube using mercury shows a height difference of 200 mm. What is the pressure difference between the two sides of the manometer? (Density of mercury is 133,300 N/m3.)
6. How does a toilet work?
7. In Philadelphia, two tall buildings are at the corner of Independence Park. When the wind blows from the north, the wind blowing between the two buildings is much faster. Why?
8. Why does a siphon work?
9. Coming home from Greece in the early 1800s, Lady Elgin’s ship sank in the Mediterranean with the famous Elgin marbles aboard. British Navy divers searching for the vessel used a weighted 5,000-L wine barrel with an open bottom as a diving bell in which to rest and get air. If the ship was 30 m under water, how much weight must be added to the barrel to sink it to the sunken ship’s level? (The density of Mediterranean seawater is 1,029kg/m3. The volume of wood used in the barrel is ignored, and the air in the barrel is maintained by pumps of 5,000 L.)
10. A glass is filled with water to the brim. Ice is placed in the glass. Will the water overflow, remain the same, or decrease when the ice is added? (Density of water is 9,800 N/m3 and 9,000 N/m3 for ice.)
11. In a famous 1654 experiment, Otto von Guericke cast two halves of a 51-cm-diameter sphere. He fit them together so the sphere would not leak, and then he evacuated it. Two teams of eight horses could not pull the hemispheres apart. Later, he tried two teams of 12 horses, but they still could not pull the hemispheres apart. If the sphere was evacuated to 0.1 atmospheres, what force would be required to pull the hemispheres apart?
12. A beaker of water is at rest and its water surface is flat. What shapes do the water surface assume when the beaker is rotated around the beaker’s vertical axis, then moved horizontally, and then moved vertically?
13. If the outlet of the water tank in Question 313 is 7.5 cm in diameter, will the ranch hand be able to replace the cap on the outlet?
14. A syringe has an interior diameter of 2 cm and a 20-gauge needle with a nominal inside diameter of 0.603 mm is attached. If the nurse presses on the syringe plunger with 1 N, what will be the pressure in the needle?
15. You are fishing in the local quarry when your friend capsizes the boat while trying to catch a fish. A 45-N bronze fishing trophy, your favorite 225-N maple Captain’s chair, a 230-N block of ice that was to be used to cool the fish, and a 180-N steel bar used to stun the fish are now all in the lake. What is the buoyant force exerted on each of the objects? (The densities are as follows: lake water, 9,807 N/m3; bronze, 858,300 N/m3; maple, 6,300 N/m3; ice, 9,040 N/m3; and steel, 76,500 N/m3.)
16. Coming home from Greece in the early 1800s, Lady Elgin’s ship sank in the Mediterranean with the famous Elgin marbles aboard. British Navy divers searching for the vessel used a weighted 5,000-L wine barrel with an open bottom as a diving bell in which to rest and get air. If the ship was 30 m under water, how much weight must be added to the barrel to sink it to the sunken ship’s level? (The density of Mediterranean seawater is 1,029kg/m3. The volume of wood used in the barrel is ignored, and the air in the barrel is maintained by pumps of 5,000 L.)
17. A syringe has an interior diameter of 2 cm and a 20-gauge needle with a nominal inside diameter of 0.603 mm is attached. If the nurse presses on the syringe plunger with 1 N, what will be the pressure in the needle?
18. In Philadelphia, two tall buildings are at the corner of Independence Park. When the wind blows from the north, the wind blowing between the two buildings is much faster. Why?
19. A U tube using mercury shows a height difference of 200 mm. What is the pressure difference between the two sides of the manometer? (Density of mercury is 133,300 N/m3.)
20. A sailboat heels to port and puts a 25-cm-diameter porthole 1 m under water. What is the average pressure on the porthole? Will the porthole break?
21. A rock is placed on a boat in a swimming pool. If the rock is taken from the boat and dropped into the pool, what will happen to the water level in the pool?