A reservoir is filled with water of density ρ. The depth of the water is ℎ. A gate is used to block the water on the right side as shown in the figure. The gate is hinged at the free surface level (z = 0), and a cable is attached to the gate ℎ/2 above the hinge. Compute how much pulling force F is needed to keep the gate closed. The atmospheric pressure is a constant p=p0 in case needed. The width (horizontal length) of the gate is W.

Q: Evaluate the total force on the gate (unit width) and its direction. (specific weights of Water:…

A: Given data Specific weight of water = 9790N / m3

Q: Q8:Find the value of the hydrostatic force and the direction and the position of (c.p.) on the…

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Q: A vertical dam has a semicircular gate as shown in the figure. The total depth d of the figure is 42…

A: To Find :  The hydro static force  Given :  The depth of figure is d=42 m The widht of the gate is…

Q: The lower part of A₁ is resting on the ground, while A2 is elevated at y = 0.39d1 where di is the…

A: Given data:- Y1=0 y2 =0.39 d1=0.39×0.9 m=0.351 m The diameter of the larger pipe d1=0.9 m. The…

Q: Calculate the horizontal and vertical forces acting on the curved gate shown in the figure Calculate…

A: The figure below shows the schematic diagram of the Gate.

Q: Find the force P required to hold the gate in the position as shown in the figure. The gate is 5…

A: Given data: H=2 mR=2 mWg=5 m Need to determine the force P required to hold the gate in the position

Q: A gate of length l and width b is submerged in water, which has density Pw, as depicted in the…

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Q: Problem 2 Two open water tanks are connected through a manometer as shown in the figure below. (a)…

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Q: Calculate the horizontal force on the gate that the fluids exert on the gate. Gate width 4 ft. gozne…

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Q: An open tank contains y1 = 8.7m of water covered with y2 = 5.7m of kerosene (y=8 kn/m^3). Find the…

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Q: U - tube is used to pressure the difference in water channel. p1= 1000 kg/m3. The orange fluid in…

A: Given:p1=1000 Kg/m3P2=2000 Kg/m3a=10 cmh=15 cmP1=111 KPa

Q: ir pressure in the top of the bottle is olume of pon remains at 2 liters

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Q: Shown in the figure, Fluid 1 is flowing in a horizontal tube and a U-tube manometer containing Fluid…

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Q: Determine the necessary vertical pull to be applied at the lower edge to open the gate.

A: The area of the gate is, A=4×4 m2 The specific gravity of the gasoline is, SG1=0.7 The height of the…

Q: How much work is done in forcing 50 ft3 of water through a 0.5-inch pipe if the difference in…

A: GivenQ=50ft3dameter of pipe d=0.5inpressure difference ∆P=15lbs/in2

Q: I 53 ft 5 ft Air Gasoline Water

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Q: A WATER TANK IS “L1” IN DIAMETER AND “L2” HIGH. IF THE TANK IS TO BE COMPLETELY FILLED, DETERMINE…

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Q: 5. Calculate the total hydrostatic force on the gate with width 2.5 m and pivoted at O; D is 3 m…

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Q: A circular surface (gate) submerged in water at an inclined angle of 45° as shown in the figure. If…

A: A submerged body underwater experiences a hydrostatic force due to pressure loading. This force is…

Q: When calculating the value of the force exerted by the water on the window of the dam. Explain why…

A: This question is comes from fluid mechanics, force in static fluid. We have to elaborate how to take…

Q: 3. The rigid surface shown on the left side of the figure has a vertical section and an inclined…

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Q: Water Hinge If R=0.88 m and h=3.8 m, calculate the value of the force F needed to maintain the gate…

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Q: For the tank shown in the Figure, h1 =   4.5m  and h3 =   9.2m  . Determine the value of h2.

A: Givenh1=4.5mh3=9.2mso=0.85

Q: For a vertical rectangular gate, one side has linseed oil (0.938) and the other has two…

A: Calculate the magnitude and direction of the net force acting on the gate.

Q: 4Psi Tank full of water Empty cylinder r= 4.5 ft

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Q: The isosceles triangle gate shown in the figure is hinged at A and filled with water. What is the…

A: The resultant force created by the pressure loading of a liquid acting on submerged surfaces is…

Q: ind the hydrostatic force (in N) against the ga

A: depth [d] = 12mw = 10m h = 2m

Q: The rectangular gate measures 8 ft by 6 ft (-8 ft and width=6ft). Water surface Is 9 ft above point…

A: According to Bartleby guidelines, we can solve only one question at a time, you are requested to…

Q: As illustrated in the figure, an inclined circular gate with a diameter of 1.1 meter has water on…

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Q: 4. Using the figure below, find the time it takes for tank 2 to increase water level by 2m. (C =…

A: Given data: Area of tank 1 = π a b = π x 2 x 3 = 6πArea of tank 2 = π4 x 42 = 4πInitial height…

Q: Question 2 The curved surface given in the figure is defined by y = 3vx. Determine the horizontal…

A: Question 2: Given: The equation of curved line, y=3x1/2 The width of gate, b = 2 m

Q: The gate is b=5m wide, is hinged y = 10050N/m³ at point B, and rest against a 15m smooth wall at…

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Q: 1. The rectangular gate below is 3 m long by 4 m wide (into the page). Obtain the force magnitude Q…

A: The data given is, Area of the rectangular gate, A=3×4=12 m2 The specific weight of water, γw=9.81…

Q: Q4//Determine the required vertical force F to be applied at the lower edge to open the square gate…

A: Area= 2.8×2.8        =7.84m2 Location of CG(y) =1.8+2.8sin45/2                              =2.78m…

Q: 4. A semicircular, hinged gate separates two fluids on either side of a partition. Part (a) of the…

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Q: Check the pressure difference between A and B of the manometer given in the figure. calculation? (…

A: h1=20cmh2=25cmh3=35cmh4=40cmρ1=1000 kg/m3ρ2=13600 kg/m3ρ3=950 kg/m3 ρair=1.2 kg/m3

Q: A thin 5-ft-wide, right-angle gate with negligible mass is free to pivot about a frictionless hinge…

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Q: -1 = 5 m D=4 m

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Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.