The depth of V-Shape gate water channel which incline at angle 29 ° is 2 m as shown in the following figure. Calculate the magnitude of the resultant force ( FR)_ in KN which acts on its inclined surface if the depth of the channel h is 1 m. 2m h R.S.V F.V
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- Answer is: V = 14.17 ft/sA dam with triangular cross section holds back a body of water. The dam has height h. The dam is made of concrete, which has speci…c gravity 3.1. What is the maximum angle, , for which thedam will not tip over about point O?The 5-m wide sluice gate “ab” shown, tangent to the vertical wall at “a”, holds back water. The surface of the gate in contact with the water can be taken as part of a cylinder with radius 4 m. a. Determine the horizontal force acting on the curve. b. Determine the total force on the curve. c. Determine the location of the vertical force from pt. “a”.
- The tank of water in Fig. is 12 cm wide into the paper.If the tank is accelerated to the right in rigid-body motion at6.0 m/s 2 , compute ( a ) the water depth on side AB and ( b ) thewater-pressure force on panel AB . Assume no spilling.The gate in the figure supported a maximum moment of 180kN-m at the support at a. Determine the maximum height h of water that it supported. The width is 2.0m. The mass of the gate is 1000 kg.The cover in the figure is hinged at the center O and has a fixed width w = 5 m. The equation of the surface is x = y2 / a (a = 3 m), the depth of the water to the right of the cover is D = 4 m. Find the magnitude of the applied force (Fa) as shown. Take the density of water as 999kg / m3.
- Water flows in a channel with uniform curvature ?. The channel has height ℎ = 5 mm and width ? = 190 mm (normal to the drawing plane). The curved part of the channel has a length of ? = 100 mm in the ?-direction. You can assume that the channel height is very small compared to the curvature radius.Neglect effects of gravity. a) Assuming that the pressure is uniform on each of the channel walls, determine the pressure difference between the upper and lower wall that is needed if the required net force on the two walls is 2000 N pointing downward (in the negative ?-direction).Use a sign convention that a positive pressure difference or gradient means the pressure at the higher ?-position is higher. b) Your team agree that, from experience, the average velocity of the fluid is ?= 53 m/s. Assuming that the velocity is uniform across the channel, and neglecting gravitational effects, determine the curvature ?required to generate this force with this flow velocity. Use a sign convention that…The three reservoirs system contains water. If L1 = 2000 m, f 1= 0.013, D1 = 1m; L2 = 2300 m, f2 = 0.02, D2 = 0.60m; and L3 = 2500 m, f = 0.023, D3 = 1.20m. Compute Q3 in m3/s.A gate rotates at point A and releases water when the water's depth, d, exceeds a certain value. The gate's width (perpendicular to the image) is b = 2.95 ft, the water's depth is d = 4.82 ft, and point A is located at h = 2.41 ft. a) What is F, the magnitude of the horizontal force exerted on the gate by the water? The water's specific weight is γw=62.4lb/ft3. b) What are Ax and Bx, the horizontal reaction forces at points A and B that act on the gate from Part A. c) What is dmax, the water's maximum depth before the pressure causes the gate from part A to open?
- Water áows in a rectangular channel of width, w. In some cases, the water may suddenly increase in elevation as shown in the figure (from h1 to h2) through a highly disturbed region called a hydraulic jump. Assume the velocity is uniform at stations 1 and 2, and assume the pressures are distributed hydrostatically. Using the Bernoulli equation and whatever other necessary equation(s), finnd the equation (cubic) for the downstream depth, h2, in terms of h1, V1, and g.The flow of water from a reservoir is controlled by an L-shaped gate hinged at point A, as shown in the figure. The mass of the weight at B (a = 4 m to the right of A, b = 3 m above the base) is 5125 kg. If the gate opens when the water height is 1.75 m above the base, determine the width (in meters, not showing) of the gate.An open vessel of water accelerates up to a 30ᵒ plane at 2 m/s². a). What is the angle the water surface makes with the horizontal? B). If the angle mage by the water surface to the horizontal is increased to 25.21ᵒ, what will be the depth of water at the rear side of the vessel, if the initial depth of water at the rear side is 4m and the front is 2m before accelerating? The vessel has a length of 4m and 2m width. C). If the vessel’s depth at the rear side is 5m, what will be the volume spilled if the acceleration is increased to 15m/s²?