A dam has a parabolic shape zlz,=(x/x,)² as shown in the Figure below, with x, = 3m and z, =7.5m. The fluid is water, p =1000 kg / m', and atmospheric pressure %3D %3D may be omitted. The width of the dam is 50 m. Compute the forces FH and Fy on the dam and their line of action. Compute the resultant force FR and its line of action. Use basic principles and show the detail of your solution. Fy F

A dam has a parabolic shape zlz,=(x/x,)² as shown in the Figure below, with x, = 3m and z, =7.5m. The fluid is water, p =1000 kg / m', and atmospheric pressure %3D %3D may be omitted. The width of the dam is 50 m. Compute the forces FH and Fy on the dam and their line of action. Compute the resultant force FR and its line of action. Use basic principles and show the detail of your solution. Fy F

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

A 50-cm wide wedge of 30° angle is used to deflect a flow of water (the width direction is into the paper). The incoming velocity of the water is 5 m/s and the water depth is 5 cm. Please compute the horizontal and vertical forces acting on the wedge from the water. In this example, water depth is shallow and you may neglect hydrostatic forces. Atmospheric pressure acts on the control volume from all directions and you do not need to consider atmospheric pressure, either, in the momentum balance. You may neglect frictions from the walls, too. 5 m/s 5 cm 5 cm Fx F y
Air P Question 5. 1,2 m wide AB gate is articulated from point A shown in the figure. The heights of the fluids are 6 and 2 for h1 and h2, respectively. Water A hi Considering the measured pressure P = -15 kN/m?, find the magnitude of the force Oil h2 *(kN) that will affect point B, in which the в force provides the balance in AB gate (SGoil = 0,75). Figure 5
A rectangular gate of width "a", length "b" and inclined at an angle "A", with water on one side is shown in the figure. Use a=9.5 ft, b=5ft, z=6.5ft and angle A=55 degrees. (a) Determine the location of the center of the gate from the water surface along the plane of the gate (in feet). (b) Determine the eccentricity (in feet). (c) Determine the location of the center of pressure from the water surface along the plane of the gate (in feet). (d) Determine the vertical distance (in feet) of the center of the gate from the water surface. (e) Determine the total resultant force (in lb) acting on the side of the gate.
Smwidth x Sm leng th The plate used to support the water as shown in Figure Q1 (c) is a S sn square. The value of h is 4.5 m. Ignore the atmospheric pressure, determine the tension of the горе, Т. (c) T Rope h 450 Figure QI (c)
Question #4 A crane is used to lower weights into the sea (p = 1025 kg/m³) for an underwater construc- tion project (see figure below). You are required to calculate the tension in the rope of the crane due to a rectangular 0.4-m x 0.4-m x 3-m concrete block (p= 2300 kg/m³) when: 41. Rope Concrete block W Concrete block W Air Water (A) suspended in the air. (B) completely immersed in water. (C) Does the tension of the rope decreased in water? Why? How much reduction in percentage? [2 marks] (4 marks] (4 marks]
Question ): For figure shown below, estimate: 1. The resultant hydrostatic force (FR) acting on the curve gate AB if the gate width = 1 m. 2. The direction of FR (0) 1 m Water 1m LA
The face of a dam is a vertical rectangle of height 100 ft and width 200 ft (Figure 6.8.5a). Find the total fluid force exerted on the face when the water surface is level with the top of the dam.
A pressurized tank of water is used to create a fountain, as illustrated. Assume that the water's free surface area in the tank is very large relative to the pipe's cross-sectional area, which is circu- lar with diameter d 1.0 cm. The small pipe bend has height = 10.0 cm. At the instant when 0.75 m, H = 2.5 m, and the gauge measures a pressure of Pgauge 20.0 kPa, the water spray reaches a height L above the pipe exit. h = = = Neglecting viscous effects, determine the height of the spray, L.