Applied Fluid Mechanics (7th Edition)
7th Edition
ISBN: 9780132558921
Author: Robert L. Mott, Joseph A. Untener
Publisher: PEARSON
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Textbook Question
Chapter 4, Problem 4.64PP
For the hinged gate shown in Fig. 4.61, determine the magnitude, direction, and location of the force of the fluid acting on it. Complete a free-body diagram and determine the force that the gate exerts on the stop.
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1. In the set-up shown, a rectangular gate, ABCD, is used to store layers of oil and water. The
weight of the gate is 4 kN and the force exerted by the stopper on the gate is measured to
be 80 kN.
Sketch the pressure diagram on the rectangular gate. No need to put the
expressions for pressures.
Draw the free body diagram of the rectangular gate. Label all external forces.
Calculate the moment done by the resultant hydrostatic force about the hinge.
What is the pressure on the oil-water interface?
Determine the weight of the block.
Pressurized air
Block
0.5 m
......
Oil, SG = 0.8
1 m
......
0.8 m
Water
Hinge
1.2
SG = 1.26
2.4 m
130 degrees
stopper
2 m
Pls help on this question.
3.6 A 125-mL cube of solid oak is held submerged by a tether as shown. Calculate the force of the water on the bottom surface of the
cube and the tension in the tether.
Patm
Oil
0.5 msG = 0.8
Water
0.3 m
Рз.6
Chapter 4 Solutions
Applied Fluid Mechanics (7th Edition)
Ch. 4 - figure 4.2 shows a vacuum tank with a flat...Ch. 4 - The flat left end of the tank shown in Fig. 4.21...Ch. 4 - An exhaust system for a room creates a partial...Ch. 4 - A piece of 14 -in Schedule 40 pipe is used as a...Ch. 4 - A pressure relief valve is designed so that the...Ch. 4 - A gas-powered cannon shoots projectiles by...Ch. 4 - The egress hatch of a manned spacecraft is...Ch. 4 - A tank containing liquid ammonia at 77F has a flat...Ch. 4 - The bottom of a laboratory vat has a hole in it to...Ch. 4 - A simple shower for remote locations is designed...
Ch. 4 - Calculate the total force on the bottom of the...Ch. 4 - If the length of the tank in Fig. 4.24 is 1.2m,...Ch. 4 - An observation port in a small submarine is...Ch. 4 - A rectangular gate is installed in a vertical wall...Ch. 4 - '4.15 A vat has a sloped side, as shown in Fig....Ch. 4 - The wall shown in Fig. 4.28 is 20 ft long, (a)...Ch. 4 - If the wall in Fig. 4.29 is 4m long, calculate the...Ch. 4 - Refer to Fig. 4.30Ch. 4 - Refer to Fig. 4.31Ch. 4 - Refer to Fig.4.32Ch. 4 - Refer to Fig 4.33Ch. 4 - Refer to Fig. 4.34Ch. 4 - Refer to Fig. 4.35 (?Ch. 4 - Swimming poo!WilierGlasswindow2 ft diameterFigure...Ch. 4 - 4.25 Refer to Fig 4.37Ch. 4 - Refer to Fig.4.38Ch. 4 - Refer to Fig.4.39Ch. 4 - Refer to Fig.4.40Ch. 4 - Refer to Fig 4.41Ch. 4 - figure 4.42i5 shows a gasoline tank filled into...Ch. 4 - If the tank in Fig. 4.42 is filled just to the...Ch. 4 - If the tank in Fig. 4.42 is only half full of...Ch. 4 - For the water tank shown in Fig. 4.43, compute the...Ch. 4 - For the water tank shown in Fig. 4.43, compute the...Ch. 4 - For the water tank shown in Fig. 4.43, compute the...Ch. 4 - For the orange-drink tank shown in Fig. 4.32,...Ch. 4 - For the orange-drink tank shown in Fig. 4.32,...Ch. 4 - For the oil tank shown in Fig. 4.35, compute the...Ch. 4 - For the oil tank shown in Fig. 4.35; compute the...Ch. 4 - figure 4.44 shows a rectangular gate holding water...Ch. 4 - figure 4.45 shows a gate hinged at its bottom and...Ch. 4 - figure 4.46 shows a tank of water with a circular...Ch. 4 - Repeat Problem 4.19(Fig. 4.31), except that the...Ch. 4 - Repeat Problem 4.22 (Fig. 4.32), except that the...Ch. 4 - Repeat Problem 4.26 (Fig. 4.38 ). except that the...Ch. 4 - Repeat Problem 4.28 (Fig. 4.40 ), except that the...Ch. 4 - Use Fig 4.47. The surface is 2.00m long.Ch. 4 - Use Fig.4.48. The surface is 2.50m long.Ch. 4 - Use Fig.4.49. The surface is 5.00 ft longCh. 4 - Use Fig.4.50. The surface is 4.50 ft long.Ch. 4 - Use Fig.4.51.The surface is 4.00 m long.Ch. 4 - Use Fig .4.52. The surface is 1.50m longCh. 4 - Use Fig. 4.53. The surface is 1.50m long.Ch. 4 - Use Fig. 4.54. The surface is 60 in longCh. 4 - Repeat Problem 4.47 using Fig. 4.47, except that...Ch. 4 - Repeat Problem 4.48 using Fig. 4.48, except that...Ch. 4 - The tank in Fig. 4.55 has a view port in the...Ch. 4 - Insulated concrete forms (ICFs) are becoming more...Ch. 4 - Lacks are installed in rivers to allow boats to...Ch. 4 - When a dam is installed in a river that has...Ch. 4 - A wealthy eccentric is interested in having an...Ch. 4 - A pneumatic cylinder like the one shown in Fig....Ch. 4 - Determine the magnitude and the location of the...Ch. 4 - For the hinged gate shown in Fig. 4.61, determine...Ch. 4 - Prob. 4.65PPCh. 4 - Write a program to solve Problem 4.41 with any...Ch. 4 - Write a program to solve Problem 4.42 (Fig. 4.46)...Ch. 4 - Write a program to solve curved surface problems...Ch. 4 - For Program 1, cause the depth h to vary over some...
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- 3. For the canal gate shown, sketch the pressure distributions applied to it. Sketch the resultant force on the gate? If h1 = 6.0 m and h2 = 4.0 m, sketch the pressure distribution to the gate. Also, what is the value of the resultant force on the gate and at what height above the bottom of the gate is it applied h₂arrow_forwardIn a liquid of density p, a circular plate of diameter d, tangent to the surface of the liquid, is immersed. Calculate the force on the plate due to the water pressure.arrow_forwardQ4: A tank 25 ft deep and 8 ft wide is layered with 8 ft of oil, 6 ft of water, and 4 ft of mercury. Compute(a) the total hydrostatic force and (b) the resultant center of pressure of the fluid on the right- hand side of the tank.arrow_forward
- 1. Sketch the pressure distribution applied to the container by the fluid:arrow_forwardA gate having the shape shown in Fig. is located in the vertical side of an open tank containing water. The gate is mounted on a horizontal shaft. (a) When the water level is at the top of the gate, determine the magnitude of the fluid force on the rectangular portion of the gate above the shaft and the magnitude of the fluid force on the semicircular portion of the gate below the shaft. (b) For this same fluid depth determine the moment of the force acting on the semicircular portion of the gate with respect to an axis which coincides with the shaft. Water 6 m Shaft 13 m Side view of gatearrow_forward1. ATectangular plate 1 m wide by 2 m long is immersed in water of density 1000 kg/m3. The shorter side is parallel to the water surface and 0.5 m below it. The longer side is inclined at 60° to the vertical. Calculate the magnitude, direction and location of the force acting on one side of the plate due to water pressure.arrow_forward
- 3.28 Determine the pressure at A. Draw a free body diagram of the SS 10-ft wide gate showing all forces and the locations of their lines of action. Calculate the minimum force P necessary to keep the gate closed. Hinge Air Air 8 ft 6 ft -4 ft. Oil (SG = 0.90) P3.28arrow_forwardIf the wall in Fig. 4.29 is 4 m long, calculate the total force on the wall due to the oil pressure. Also determine the location of the center of pressure and show the resultant force on the wall.arrow_forwardProblem 1. A 6m diameter cylinder rests on the bottom of the tank (lowest point is A) which is 4m perpendicular to the paper. Óil (0.80) and liquid Z(0.98) are poured into the left and right portions of the tank to depths of 3.5m and 5m respectively. Find the magnitudes of the: a. Horizontal component of the force acting on the cylinder b. Vertical component of the force acting on the cylinder that will push up the cylinder. c. and determine the specific weight of the material composition of the cylinder required to keep it touching point Aarrow_forward
- Problem 3: The wall shown in the figure below is 20 ft long. (a) Calculate the total force on the wall due to water pressure and locate the center of pressure; (b) calculate the moment due to this force at the base of the wall. 12 ft Waterarrow_forwardA container lying horizontally is filled with water. It is 5 ft long and its cross section is in the shape of a semicircle with diameter 3 ft at the top. The weight density of water is 62. 4 lb/ft. (Draw an illustration.) a. How much work is required to pump all the water to the top of the tank? b. Find the force due to fluid pressure on one semicircular end of the container.arrow_forward3m Q4/ Find the pressure force and position of center of pressure on a triangular plate of base 2m and height 3m which is immersed in water in such a way that the plane of the plate makes an angle of 60° with the free surface of the water. The base of the 2.5m 2m plate is parallel to the water surface and at a depth of 2.5m from water surface.arrow_forward
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