3. For the gate shown, α = 45°, y₁ = 1 m, and y₂ = 4 m. Will the gate fall or stay in position under the action of the hydrostatic and gravity forces if the gate itself weighs 150 kN and is 1.0 m wide? Assume T = 10°C. Use calculations to justify your answer. Water Standard atmospheric pressure Gate Hinge. 3
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- A vertical, trapezoidal gate in the face of a dike is subjected to sea water pressure (s =1.3) on one side. The upper edge is in the water surface and is 1.567 meters long. Twoedges are vertical and measured 2.67 meters and 3.76 meters each. Determine the totalpressure on the gate and the location of the center of pressure.Consider the simple pipe network below. Pipe AB and CF are both 500m long withdiameters of 0.8m and friction factors of 0.015. Branch 1 is 200m long, 0.5m in diameter with a frictionfactor of 0.02. Branch 2 is 300m long, 0.6m in diameter with a friction factor of 0.012. The designdischarge through pipe AB is 3m 3 /s. Determine the following: a) the equivalent pipe length, Leq, of asingle equivalent pipe with a diameter of 1m and friction factor of 0.02, that represents the entire pipenetwork from A to F, b) determine the total head loss from A to F. Ignore minor losses. (Hint: need touse method of equivalent pipes for both series and parallel)Water flows at a depth of y1=0.4ft in a concrete channel which is 10ft wide. The discharge per unit width is 10ft2/sec. Estimate the height of the hydraulic jump that will be formed if bed slope is equal to 0.0 and 0.15 respectively.
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