Q4- A rectangular gate 6 ft tall and 5 ft wide in the side of an open tank is held in place by the force F as indicated in Figure. The weight of the gate is negligible, and the hinge at O is frictionless. (a) Determine the water depth, h, if the resultant hydrostatic force of the water acts 2.5 ft above the bottom of the gate, i.e., it is collinear with the applied force F. (b) For the depth of part (a), determine the magnitude of the resultant hydrostatic force. (c) Determine the force that the hinge puts on the gate under the above conditions.

1. The rigid gate with 3m width is installed in order to control the water outflow as shown in the figure. The gate is hinged at point O and rests against a support at point B. Assuming that the weight of the gate as well as the friction at the hinge don't have significant effects, determine the following: Wate 4 m a. Determine forces (resultant forces). b. Locate the center of pressure for the hydrostatic forces (resultant forces). c. Required horizontal force, the gate closed. the magnitude of the hydrostatic Hing 3 m B A P in order to hold 2 m Atmosphere

fluid mechanics

Q2. A cylindricai tank of diameter 2.5 m is founded with its axis horizontal. The tank contains water in the bottom half and an oil of relative density 0.82 on the top haif with a common interface. The fluids are under pressure and a pressure gauge on the top of the cylinder reads 15 KPa. Caleulate the force per meter length on the upper half of the cylindrical tank.

1) A 3-m square plate is immersed in water in a vertical position such that the two edges of the square are horizontal. The immersion is such that the center of pressure on the plate is 9cm from its center of gravity. a) Determine the distance from the water surface to the top of the gate. b) Determine the distance from the water surface to the center of pressure. c) Determine the total hydrostatic force acting on one side of the gate.

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Problem 6 Two cables of the same gauge are attached to a transmission tower at B. Because the tower is slender, the horizontal component of the resultant of the forces exerted by the cables at B is to be zero. Knowing that the mass per unit length of the cables is 0.4 kg/m, determine (a) the required sag h, (b) the maximum tension in each cable. -90 m- A h B 60 m → 3 m Figure Problem 6 с

The air above the liquid is under a pressure of 40 kPa gage, and specificgravity of the liquid in the tank is 0.80. The rectangular gate is 2.0 mwide, y1 = 1.0 m and y2 = 3 m. 1. Determine the hydrostatic force acting on the gate, in kN 2. What is the location of the force, in m, measured from the hinge? 3. Calculate the minimum value of P, in kN, to hold the gate in place

Gate AB in the figure below is 1 m long and 0,7 m wide. Determine the force (F) on the gate and the position x, the centre of pressure. 3m Oil (sp gr = 0.81) ㅗ 1m. 7m 1m 1