FLUID MECHANICS INSTRUCTION: Select the correct answer for each of the following questions. Mark only one answer for each item by shading the box corresponding to the letter of your choice on the answer sheet provided. MULTIPLE CHOICE • Situation 1: 1. An amount of carbon tetrachloride having a mass of 500 kg and a volume of 0.315 m3 is placed in a container. Which of the following most nearly gives the weight of carbon tetrachloride? a. 4.90 kN c. 5.16 kN b. 5.36 kN d. 3.86 kN 2. Which of the following most nearly gives the mass density of carbon tetrachloride? a. 1785.30 kg/m3 c. 1758.30 kg/m3 b. 1578.30 kg/m3 d. 1587.30 kg/m3 3. Which of the following most nearly gives the unit weight of carbon tetrachloride? a. 12.25 kN/m3 c. 17.02 kN/m3 b. 16.38 kN/m3 d. 15.57 kN/m3 • 4. 11. Which of the following most nearly gives the hydrostatic force acting in the plate? a. 2604.72 kN c. 2460.27 kN b. 2640.27 kN d. 2406.72 kN 12. Which of the following most nearly gives the location of the hydrostatic force from the top surface of the liquid? a. 8.69 m c. 7.68 m b. 9.68 m d. 6.81 m FLUID PROPERTIES Situation 4: HYDROSTATIC PRESSURE Assuming specific weight of air to be constant at 12 N/m3, what is the approximate height of Mt. Banahaw if a mercury barometer at the base of the mountain reads 654 mm and at the same time another mercury barometer at the top of the mountain reads 480 mm? 13. a. b. 5. 6. • 1835.62 m 1602.19 m c. d. 1748.03 m 1934.53 m A tank contains oil with specific gravity of 0.80, gasoline with specific gravity of 0.90, and sea water with specific gravity of 1.05. What is the pressure at a depth of 1.20 m if the depths of the liquids are 0.50 m, 0.60 m, and 0.80 m, respectively? a. 1812 kg/m2 c. 942 kg/m2 b. 1045 kg/m2 d. 1318 kg/m2 14. Hydrostatic force a. 2,354.4 kN b. 2,543.4 kN c. d. 784.8 kN 874.8 kN ̅𝒚 a. b. c. d. 6.75m 8.44m Situation 5: From the figure shown. HYDROSTATIC FORCES The tank is shown below. 15. Hydrostatic force along the horizontal direction. a. 1,764 lb c. 3,121 lb b. 1,123 lb d. 1,467 lb 16. Hydrostatic force along the vertical direction. a. 1,764 lb c. b. 1,123 lb d. 17. 8. 7.56m 4.48m A pressure gage at elevation 10 m at the side of a tank containing a liquid reads 80 kPa. Another gage at elevation 4 m reads 120 kPa. Find the specific gravity of the liquid. a. 0.62 b. 0.65 b. 0.73 d. 0.68 Situation 2: 7. From the figure shown, determine the following: Which of the following most nearly gives the hydrostatic force acting in liquid 1? a. 274.68 kN c. 247.86 kN b. 472.68 kN d. 427.86 kN Which of the following most nearly gives the hydrostatic force acting in liquid 2? a. 705.456 kN c. 750.465 kN b. 349.78 kN d. 427.86 kN 9. Which of the following most nearly gives the hydrostatic force acting in liquid 3? a. 1758.24 kN c. 247.86 kN b. 472.68 kN d. 1785.42 kN 10. Which of the following most nearly gives the location of the total hydrostatic force from the bottom of the tank? a. 4.56 m c. 3.36 m b. 5.46 m d. 6.63 m Situation 3: The parabolic plate is submerged in water as shown. • 3,121 lb 1,467 lb Location of the vertical component horizontally from B. a. 3.56 ft. c. 2.75 ft. b. 4.48 ft. d. 2.55 ft. BUOYANCY Situation 6: A stone weighs 468 N in air. When submerged in water it weighs 298 N. 18. Which of the following most nearly gives the volume of the stone? a. 0.0015 m3 c. 0.0254 m3 b. 0.0173 m3 d. 0.0357 m3 19. Which of the following most nearly gives the unit weight of the stone? a. 24.03 kN/m3 c. 25.00 kN/m3 b. 26.00 kN/m3 d. 27.05 kN/m3 20. Which of the following most nearly gives the specific gravity of the stone? a. 2.90 c. 2.25 b. 2.45 d. 2.76 Situation 7: 21. A cylindrical tank 1 m in diameter and 3 m tall weighs 3.86 N. Which of the following most nearly gives the weight of the lead (specific wt.= 110 kN/m3) that must be placed inside the tank to make the tank float vertically with 2.50 m submerged in water? a. 16.91 kN c. 19.25 kN b. 21.14 kN d. b. 15.40 kN 22. Which of the following most nearly gives the weight of the lead (specific wt.= 110 kN/m3) that must be fastened to the outside bottom of the tank to make the tank float vertically with 2.50 m submerged in water? a. 21.14 kN c. 15.40 kN b. 19.25 kN d. 16.91 kN 23. Which of the following most nearly gives the weight of the lead (specific wt.= 110 kN/m3) that must be placed inside the tank to make the top of the tank flushed with the water surface? a. 19.25 kN c. 16.91 kN b. 15.40 kN d. 21.14 kN 24. A wooden block is placed horizontally in the sea with oil spill as shown. What is the depth o f the block submerged? Situation 10: 625 N d. 950 N Given is the truss as shown in figure ATJL 23.56. c. 32. 33. How many are zero – force members? a. 5 c. b. 4 d. 7 6 How many are load-carrying members? a. 5 c. b. 4 d. 7 6 Situation 12: a. b. 2.34 m 2.89 m c. d. Given is the truss as shown in figure ZGE 9.1. 1.95 m 2.23 m MOVING VESSELS 34. • VERTICAL TRANSLATION Situation 8: 25. Which of the following most nearly gives the pressure at the bottom if acceleration is 0 m/s2? a. 19.62 kPa c. 161.796 kPa b. 113.796 kPa d. 65.796 kPa 26. Which of the following most nearly gives the pressure at the bottom if an upward acceleration of 5 m/s2 is applied to the tank? a. 19.62 kPa c. 161.796 kPa b. 113.796 kPa d. 65.796 kPa 27. Which of the following most nearly gives the pressure at the bottom if a downward acceleration of 5 m/s 2 is applied to the tank? a. 19.62 kPa c. 161.796 kPa b. 113.796 kPa d. 65.796 kPa 28. Which of the following most nearly gives the pressure at the bottom if the tank experienced a free fall? a. 19.62 kPa c. 161.796 kPa b. 113.796 kPa d. 65.796 kPa ENGINEERING MECHANICS 29. 30. See figure FDDW 11.23. At what angle must the 400-N force be applied in order that the resultant R of the two forces has a magnitude of 1000 N? a. 38.68° c. 71.81° b. 51.32° d. 18.19° What will be the angle between R and the horizontal? a. 38.68° c. 71.81° b. 51.32° d. 18.19° 31. a. 7 6 How many are load-carrying members? a. 15 c. b. 14 d. 17 16 A tank is shown below. 35. Situation 9: How many are zero – force members? a. 5 c. b. 4 d. What is the horizontal component of the resultant? 312 N c. 781 N