90 cm View of the gate Oil (sg=0.90) Diameter 150 mm 60 cm 30 cm We have oil in a container, with a specific gravity of 0.9. The centroid of the gate is located at a depth of 1,160 m from the liquid surface. Determine the resultant force acting on the circular plate shown in the figure and its point of application (hp and Yp). 30°
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- Compute the surface area of the axi-symmetric domed structure.The hemispherical glass bowl is filled with water. Find the location y of the center of gravity of the filled bowl. Approximate the bowl as a thin shell of radius R=6.15in. Use 1=162lb/ft3 for glass and 2=62.4lb/ft3 for water.One side of the container has a 03-m square door that is hinged at its top edge. If the container is filled with water, determine the smallest force F that must be applied to the bottom edge of the door to keep it closed.
- Gate AB is a square with a dimension of 3m. Wherein it is tilted with an angle of inclination of 60°. The gate is submerged with oil (sg=0.82) on its left side. From point A of the gate it measures 3m vertically. Determine the following: a) The force acting on the gate. b) the location of the force. *A tank is filled with fluid under prcssurc anti the prcssurc gauge fixcd at the top indicatcs a prcssurc of 21 kPa. The curved surfacc of the top is quarter of a circular part of radius 2.6 m. calculate the magnitude (N) and direction (degree) of the resultant force on the cun'ed surface. (p=950kg./m³for fluid)A cylind er with density, p. height, h, radius, r is partially submerging at 6tatic, with depth, u in a fluid with density, Po, os shown Ratio o f a Circ Um ference to its diameter is T1. Determine all the forces acting on the cglinder at y-direction
- A closed tank whose bottom is 18 inches in diameter is filled with three liquids: 4 inches of carbon tetrachloride (SG=1.59), 2 inches of water and 12 inches of syrup (SG=1.31). The air chamber in the tank is pressurized at 1296 psf. d. Apply the PANEL EQUATIONS to determine the magnitude, direction and location of the total hydrostatic force acting at the bottom of the tank.The gate shown is hinged at H. The gate is 3 m wide normal to the plane of the diagram. Calculate the force required at “A" to hold the gate closed. 1.5 m H F А 3 m Water 30°This Utah-shaped plate is submerged in oil, (s=0.94) and lies in a vertical plane. Find the magnitude and location of the hydrostatic force acting on one side of the plate. * Oil surface 1.5 m 1.5 m 4.6 m 2.6 m 3.8 m O 4.27 4.47 O 4.67 4.87
- Please be xlear and detailed with your answer. Write an explanation in every formula and solution you used. Problem: A Triangular gate having a horizontal base of 1 30 m and an altitude of 2 m is inclined 45 o 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 figureThe flat surface shown is submerged vertically in water. Find the fluid force against the surface. The weight density of water is 9810 N/m³. 4 m Enter the exact answer. F = i 1m 3 m NAn equilateral triangular plate with sides 8 m is submerged vertically in water so that the base is even with the surface. Express the hydrostatic force against one side of the plate as an integral (let the positive direction be downwards) and evaluate it. (Round your answer to the nearest whole number. Use 9.8 m/s2 for the acceleration due to gravity. Recall that the maa density of water is 1000 kg/m3.)