The thin plate depicted below is submerged in water with weight density 62.4 lb/ft³. What is the total force exerted on the plate? v=4-x²1 4 ft 4 ft
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- 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.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.Find the force on the parabolic plate if it is partly submerged in a liquid weighing 48 Ib/ft³ so that its axis is parallel to and 3 ft below the surface of the liquid. The figure is shown below. P(x, y)- Ay (4,6) 3-y (4,-6) Surface of Liquid :3
- 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 4.87A vertical plate is submerged in water and has the shape as seen in the picture. Using the fact that the weight of water is 62.5 lbs/ft³, calculate the hydrostatic force (in Ibs) against the end of the tank. Give your answer correct to the nearest hundred. (Hint: First set up a Riemann sum that approximates the hydrostatic force, which can then be used to obtain an integral that represents the force.) 12 ft 8 ft 20 ft Hydrostatic force = IbsConsider the hemispherical gate attached to a cylindrical buoy as shown in the figure. The thickness of and weight of the cable connecting the buoy and the gate are negligible. Which of the following is the volume above the hemispherical gate that is needed in the calculation of the vertical component of the resultant hydrostatic force acting on it? 4m Y? 3 m Select one: O a. cylinder up to the liquid surface O b. cylinder up to the liquid surface minus the hemisphere O c. cylinder up to the bottom surface of the buoy O d. cylinder up to the bottom surface of the buoy minus the hemisphere
- right cylindrical object has a diameter of 1526 mm and a height of 2.1m. The density of water is 1000 kg/m3. If the right cylindrical object is placed in the water, what is the buoyant force?A hemispherical plate with diameter 10 ft is submerged vertically 1 ft below the surface of the water. Express the hydrostatic force against one side of the plate as an integral and evaluate it. (Round your answer to the nearest whole number. Recall that the weight density of water is 62.5 lb/ft3.)A trough is full of liquid of weight density 9,000 N/m3. The ends of the trough are equilateral triangles with sides 2 m long and with vertex at the bottom. Setup the integral for the force on one end of the trough. (Hint: Put the bottom of the trough along the x-axis.)
- In the Fig. is shown the cross-section of the tank full of water under pressure. The length of the tank is 2.5 m. An empty cylinder lies along the length of the tank on one of its corners as shown. Find the horizontal and vertical components of the force acting on the curved surface LMN of the cylinder(Force on curved surface) The 9.5-ft-long cylinder of the figure below floats in oil and rests against a wall. Determine the horizontal force the cylinder exerts on the wall at the point of contact, A. Oil 2.8 ft Ib y =58.1 ft FA = i IbA 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.