B) A rectangular gate (length 3m, wide 1m) inclined at 50⁰ with the horizontal level and hinged at point to the bottom of the tank. The weight of the gate is 9000N; calculate the minimum height of the water (h) in the left side of the gate, which cause to open the gate automatically?
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- 3- Find the total pressure and position of center of pressure FREE WATER SURFACE on a triangular plate of base 2 m and height 3 m which is 60 2.5 immersed in water in such a way that the plane of the plate h* -2 m makes an angle of 60 with the free surface of the water. 3 m YP The base of the plate is parallel to water surface and at a depth of 2.5 m from water surface.An isosceles triangular gate with base of 6 m and height 4 m is at a depth of 1 m from the free surface (depth = distance between free surface and top vertex of gate) Find the position of center of pressure.Q3:B) A rectangular gate (length 3m, wide 1m) inclined at 50⁰ with the horizontal level and hinged at point to the bottom of the tank. The weight of the gate is 9000N; calculate the minimum height of the water (h) in the left side of the gate, which cause to open the gate automatically? WATER 1.2m 3m 50 WATER
- Q3:B) A rectangular gate (length 3m, wide 1m) inclined at 50⁰ with the horizontal level and hinged at point to the bottom of the tank. The weight of the gate is 9000N; calculate the minimum height of the water (h) in the left side of the gate, which cause to open the gate automatically? WATER 1.2m 3m OS WATERThe width of the rectangular gate of AB (Figure 5), which is hinged from the point of A, is 4m.lt is known that the weight of the gate is 1810 kN. What is the maximum allowable depth Ball joint 4 m Water A max 2 m (h) of the water on the left side of the chamber to keep the gate in stable position?PROBLEM 2: A rectangular gate rotates about a pivot in the clockwise direction to open. The specific weight of water is 9.81 kN/m?. Describe the condition of the gate when the depth of water in the tank is 10m, will the gate start rotating about the pivot or remain closed? Prove Water 10m 4m4m gate your answer. Pivot Biock
- 5. A circular gate 2 m in diameter has water on one side and is inclined 45 degrees with the horizontal. Water is 1.50 m above the top of the gate. (a) Draw the free-body diagram of the gate. (b) Compute the force acting on the gate in kN and its location (i.e. from the center of gravity to the center of pressure) in meters. (c) Also, if the top of the gate is a hinge, what force in kN perpendicular to the gate is needed to open the gate at the bottom (i.e. intersection of the gate and river bed)?Example: Figure-shows a-rectangular sluie gate AB, 3 m-wide and-4.5-m long hinged at- A. It is kept closed by a weight fixed to the gate. The total weight of the gate and weight fixed to the gate is 515 kN. The center of gravity of the weight and gate is at G. Find the height of the water h which will first cause the gate to open. Water surface he he Hinge A 4.5 m 45° 0.9 m GateQ3: - A rectangular gate 1.5m wide and 2.5m high is located as shown. Find the force on gate and its location. he 0.5m 2.5 m 30
- n. O • O M A : Homewo... -> Fluid Mechanics Basra Engineering Technical College Hydrostatic Forces Second Stage MSc. Zahraa A. Nadeem Home Works 1- A 60 cm square gate has its top edge 12 m below the water surfacc. It is on a 45 angle and its bottom edge is hinged as shown Waler in Fig. What force P is needed to just open the gate and its location? Hinge 2- A tank containing water is shown in Fig. Calculate the total resultant force acting on side ABCD of the container and the location of the center of pressure. y = 62.4 Ib/ft Water 3- Find the total pressure and position of center of pressure FREE WATER SURFACE on a triangular plate of base 2 m and height 3 m which is immersed in water in such a way that the planc of the plate 2 m- makes an angle of 60 with the free surface of the water. The basc of the plate is parallel to water surface and at a depth of 2.5 m from water surface. 4- The 200 kg, 5 m wide rectangular gate shown in Figure is hinged at B and leans against the floor at A…B3. A rectangular plate of width 35 mm, depth =85 mm is vertically placed in water in such a way that the centre of the plate is 3.25 m below the free surface of water. Draw the diagram neatly. Find the total pressure & center pressure on the plate. (Enter only the values by referring the unit given. Also upload the hand written answers in the link provided) Total Pressure on the circular plate (in N) Centre of Pressure on the circular plate (in m)The 4 m diameter circular gate of shown in Figure 3 is located in the inclined wall of a large reservoir containing water (specific weight, Y- 9.80 kN/m'). The gate is mounted on a shaft along its horizontal diameter and the water depth is 10 m above the shaft. Given I, for circular gate is Water level Angle 60° 10 m Stop Shaft O Figure 3 a) Analyse the information given and determine the magnitude and location of the resultant force exerted on the gate by the water. b) Combine all forces involved on the circular gate and evaluate the moment that would have to be applied to the shaft to open the gate.