Problem Set Hydraulics

PROBLEM SET HYDRAULICS 1. A cylindrical tank with its axis vertical is 3.60m high and 0.90m diameter. It is held together by two steel hoops, one at the top and the other at the bottom. Three liquids A, B and C having specific gravities 1.0, 2.0 and 3.0 respectively fill the tank, each having a depth of 1.20m, the upper liquid being exposed to atmospheric pressure. Find the total hydrostatic force and the tensile stress in the hoops whose cross sections are both 1,250mm2. A. 89KN C. 80KN B. 71.35KN D. 86.14KN 2. Tensile stress in the upper hoop: A. 8.57MPa C. 15.31MPa B. 10.17MPa D. 9.73MPa 3. Tensile stress in the lower loop: A. 25.43MPa C. 30.72MPa B 22.86MPa D. 18.36MPa 4. A trapezoidal flume of most efficient proportion has a base width of 1.5m. Its full discharge is 3cu.m/sec. If the same material were used for the most efficient rectangular section, by how much would the discharge decrease in cu.m/sec. A. 0.57 B. 0.64 C. 0.70 D. 0.68 5. Find the width in m of the channel at the back of a suppressed weir using the following data: H = 28.5cm; d = 2.485m; Q = 0.84 cu.m/sec. Consider the velocity of approach and use the Francis formula. A. 4m B. 3.5m C. 3.0m D. 2.5m The tide gate opens automatically when the tide water at B subsides, allowing the marsh at A to drain. For the water level h = 4 m, determine the horizontal reaction at the smooth stop C. The gate has a width of 2 m. 6. FC = ? A. 25.3KN

B. 24.38KN

C. 20.14KN

D. 23.9KN

7. At what height h will the gate be on the verge of opening? A. 4 m B. 3.8 m C. 3.5 m D. 3.8 m 8. An infusion pump produces pressure within the syringe that gives the plunger A a velocity of 20 mm/s. If the saline fluid has a density of ρ = 1050 kg/m 3, determine the pressure developed in the syringe at B. A. 647 KPa B. 631 KPa C. 538 KPa D. 582KPa 9. Water is drawn into the pump, such that the pressure at A is -6 lb/in2 and the pressure at B is 20 lb/in2, If the volumetric flow at B is 4 ft3/s, determine the power output of the pump. The pipe has a diameter of 4 in. Take h = 5 ft and ρ = 1.94 slug/ft3. A. 25.9 HP C. 59.2 HP B. 52.9 HP D. 29.5 HP 10. The jet of a horizontal nozzle strikes a vertical plate with a force equal to 7000N. If the discharge flowing at the nozzle is 0.12 m3/s. Compute the diameter of the jet. A. 51mm B. 55mm C. 48mm D. 57mm

11. The open railcar is used to transport water up the 20° incline. When the car is at rest, the water level is as shown. Determine the maximum acceleration the car can have when it is pulled up the incline so that no water will spill out. A. 7.56 ft/s2 B. 8 ft/s2 C. 7.02 ft/s2

D. 7.63 ft/s2

12. The cylindrical container has a height of 3 ft and a diameter of 2 ft. If it is filled with water through the hole in its center, determine the maximum pressure the water exerts on the container when it undergoes the motion shown. A. 3.52 psi C. 3.01 psi B. 4.11 psi D. 3.33 psi

Three pipes A, B and C are connected in parallel. If the combined discharged of the 3 pipes is equal to 0.61 m3/s, and assuming they have equal values of friction factor “f”, compute the following using the tabulated data shown. PIPELINE LENGTH DIAM. 600 m. 150 m. A 480 m. 200 m. B 750 m. 100 m. C 13. Compute the rate of flow of pipeline A in li/sec. A. 170.36 B. 168.5 C. 187.36 D. 176.78 14. Compute the rate of flow of pipeline B in li/sec. A. 300.1 B. 354.08 C. 360.87 D. 386.73 15. Compute the rate of flow of pipeline C in li/sec. A. 60.82 B. 54.77 C. 57.02 D. 62.83 A hollow cylinder 1.1m. in diameter and 2.4m. long weights 3825 N. 16. How many kN of lead weighing 110 kN/m 3 must be fastened to the outside bottom to make the cylinder float vertically with 1.9m. submerged in fresh water? A. 16.23 B. 15.244 C. 15.85 D. 16.08 17. How many kN of lead weighing 110 kN/m 3 must be placed inside the cylinder to make the cylinder float vertically with 1.90m. submerged in fresh water? A. 14.85 B. 13.22 C. 14.03 D. 13.89 18. What additional load must be placed inside the cylinder to make the top of the cylinder flush with the water surface? A. 4.66 B. 5.00 C. 4.88 D. 5.11 A vertical tank having a horizontal cross-sectional area of 0.4 square meter has 0.0003m2 orifice at its bottom. The initial head on the orifice is h1 = 1.2m. It takes 312 second for the water level to drop from 1.2m to 0.6m. 19. What is the coefficient of discharge? A. 0.65 B. 0.62 C. 0.68 D. 0.72 20. If C = 0.6, how long will it take for the water level to drop from 1.2m to 0.8m? A. 202 s B. 256 s C. 185 s D. 231 s 21. If C = 0.6, what is the head on the orifice after 240? A. 0.52 m B. 0.43 m C. 0.85 m D. 0.73 m