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- The 12-ft wide quarter-circular gate AB is hinged at A. Determine the contact force between the gate and the smooth surface at B due to water pressure acting on the gate. Use =62.4lb/ft3 for water.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.A 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.
- 2. The tank shown contains alcohol (SG=D0.78) and covered by a circular plug 1.2 m in diameter. Calculate the hydrostatic force F Am acting on the plug and its center of pressure. 8m 1.2 m 3. The gate as shown is 3 m normal to the page. It keeps the two liquids from mixing with each onough clocuro botween the oil and3.Determine the total pressure on a circular plate of diameter 1.5m which is placed vertically in water in such a way that the centre of the plate is 3m below the free surface of water. Find the position of centre of pressure also.5. Find the hydrostatic force on a triangular plate submerged vertically in fluid of density p as shown. surface of fluid 2mi F = pgx (x) F-S pgx LUX) (find l(x)
- The tank is filled with water. Suppose that h=4.0 m. Solve the problem using the integration method. Determine the resultant force acting on the trapezoidal plate C and determine the location of the center of pressure measured from the top of the tank.A cylindrical tank of 1.5 m diameter and height 0,75 m has a hemispherical dome. The tank contains oil of relative density 0.84. The dame is joined to cylinder position by four equally spaced bolts. If pressure gauge at point M, 0.3 m above base of tank read 50 kPa. Determine force each bolt.A B с OIL WATER 1.0M 0.5m In the tank open to the atm. shown in the figure below, there is on oil layer 1 meter high on a 0.5 meter high water layer. Since pont & is in the Middle of paints A and C. calculate the pressures at points A, B, C, D in Kla. (Density of water 1000 kg/m³, density of oil 800 kg/m³)
- A barrel in the form of a frustum of a cone with a radius of 3m and 6m at the bottom and at the top respectively. It is 5m high and is 4/5 full of oil (0.83). Determine the a. Total hydrostatic force "F" acting on the wall of the barrel in kN and b. its line of action "s" from the bottomA cylinder (diameter 4 m) of weight 50 kN is placed on the bottom of the tank as shown and oil and water is poured in left and right side of tank respectively. Magnitude of horizontal force at centre that should be applied on cylinder so that it does not roll is (for unit length) kN. 64m Oil S=0.7 1.2 m Water S=1 0.7mA 10 m x 15 m rectangular plate is submerged in water at 6 m. The plate is inclined at 35deg with the horizontal. The specific weight of water is given by y = 9.81 kN/m3. Obtain the resultant force of pressure on the plate.