quater circle segment gate
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quater circle segment gate
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- Note: Please state what formula you are using. And please be clear and detailed with your solution. Atleast explain. It will help me, thanks. Problem: A Triangular gate having a horizontal base of 1.30 m and an altitude of 2 m is inclined 45o from the vertical with vertex pointing upward. The base of the gate is 2.70 m below the surface of oil (s = 0.80). What normal force must be applied at the vertex of the gate to open it? Show figureA tank, shaped like a cone has height 8 meters and base radius 3 meters long. It is placed so that the circular part is upward. It is full of water, and we have to pump it all out by a pipe that is always leveled at the surface of the water. Assume that a cubic meter of water weighs 10000 N, i.e. the density of water is 10000 N/m3. How much work does it require to pump all water out of the tank? Enter the exact value of your answer.Generalize Prob. as follows. Denote length AB asH , length BC as L , and angle ABC as θ . Let the dam materialhave specifi c gravity SG. The width of the dam is b .Assume no seepage of water under the dam. Find an analyticrelation between SG and the critical angle θ c for whichthe dam will just tip over to the right. Use your relation tocompute θ c for the special case SG = 2.4 (concrete).
- A gate rotates at point A and releases water when the water's depth, d, exceeds a certain value. The gate's width (perpendicular to the image) is b = 2.95 ft, the water's depth is d = 4.82 ft, and point A is located at h = 2.41 ft. a) What is F, the magnitude of the horizontal force exerted on the gate by the water? The water's specific weight is γw=62.4lb/ft3. b) What are Ax and Bx, the horizontal reaction forces at points A and B that act on the gate from Part A. c) What is dmax, the water's maximum depth before the pressure causes the gate from part A to open?Figure AB Cover rests on a flat surface. Cover 180 kg weight and 1.2 m wide. At what height is the water depth the lid won't open? find it. (glycerin density is 1260 kg/m3 , That density 1000 kg/m3 )A tank with vertical sides is 1.30 m square (horizontal section), 3 m high and is filled with water to a depth of 2.70 m. By how much, if at all, will be the pressure on one side of the tank be changed if a cube of wood (s=0.50) measuring 60 cm on an edge be placed in water?
- A bulkhead closing one end of a floating dock is 9 m wide at the bottom and 18 m wie at the top and 9 m deep. If submerged up to its upper edge, what is the total thrust on the bulkhead and what will be the depth to the center of pressure. (take relative density of sea water 1.024) Ans. 4.88 MN, 5.62 NA tank contains oil (s = 0.80), gasoline (s = 0.90) and sea water (s = 1.03). If the depth of the liquids are 0.5 m, 0.8 m and 1 m for oil, gasoline and sea water respectively. Find the pressure at the interface of oil and gasoline and bottom of the tank.An open tank contains 5.6m of water covered with 3.4m of kerosene (S.G=0.80). Find the pressure at the interface and at the bottom of the tank
- Dam ABC in Fig. is 30 m wide into the paper andmade of concrete (SG =2.4). Find the hydrostatic force onsurface AB and its moment about C . Assuming no seepageof water under the dam, could this force tip the dam over?How does your argument change if there is seepage underthe dam?In Fig., gate AB is 5 ft wide into the paper, and stopB will break if the water force on it equals 9200 lbf. Forwhat water depth h is this condition reached?As shown in the figure, there are two different fluids and pressurized air in a tank. A hydrostatic force of 8000 N acts on the 40x50 cm panel on the front surface of the tank. In this case A) Calculate the air pressure. B) Find the height (h) of mercury on the manometer. (For air, neglect the variation of pressure with height.) pwater=1000 kg/m3, poil=890 kg/m3, pmercury=13600 kg/m3, g=9.81 m/s2