A vertical dam has a semicircular gate as shown in the figure. The total depth d of the figure is 10 m, the height h of air above the water level is 2 m, and the width w of the gate is 4 m. 10 m 2 m water level Set up an integral that can be used to find the hydrostatic force (in N) against the gate. (Use 9.8 m/s² for the acceleration due to gravity. Assume that the weight density of this water is 1,000 kg/m³.) x (1,000)(9.8) dx x Find the hydrostatic force (in N) against the gate. (Round your answer to the nearest whole number.)

Calculate the fluid force on the side of the "infinite" plate B in the figure. The fluid mass 850kg/m³. /m³. Assume g = 9.8m/s². density is p F N = A y = ln x x

6. A right circular cylindrical tank with its circular base on the ground is full of water. The diameter of the base is 30 ft, and the height of the tank is 20 ft. Set up a Riemann sum to approximate the hydrostatic force against the lateral wall of the tank. Then express the force as an integral and evaluate it.

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A triangular plate with base 6 m and height 2 m is submerged vertically in water such that the highest vertex of the plate is 6 meters below the surface and the base is horizontal to the surface. 6 m 6 m 2 m Express the hydrostatic force against one side of the plate as an integral 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 weight density of water is 1,000 kg/m3.)

Find the resultant hydrostatic force on plate AB and its location from B. Gama water = 10 kN/m^3. The width of the plate is 1.5 m 2 m A 145° 2m B

Plz solve correctly

Solve it right away systematically. SHOW FBD. Clear and complete solution please thank you

Question 2: For figure shown below, estimate the resultant hydrostatic force acts on the curve gate AB if the gate width = 1 m. 4m Water

A tidal barrage is in the shape of a quarter cylinder of radius r=16m, as shown in the picture above. If the barrage is 13m wide and holds back water of density 1014kg/m³ to its full height, what is the magnitude of the vertical force on the barrage? Assume that the atmospheric pressure is constant. Give your answer in Kilo Newtons to the nearest whole number. Use an acceleration due to gravity of g=9.81m/s²