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 4.16PP
The wall shown in Fig. 4.28 is
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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
Water
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
can you find the solution for question 5.16
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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- If 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_forwardA trough having a trapezoidal cross section is full of water. If the trapezoid is 3m wide at the top, 2m wide at the bottom and 2m deep, find the total force owing to liquid pressure on one end of the trough.arrow_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_forward
- Example: A hemisphere projection of diameter 0.6 m exists on one of the vertical sides of a tank. If the tank contains water to an elevation of 1.5 m above the center of the hemisphere, calculate the vertical and horizontal forces. Water 1.5 m o|0.6 marrow_forward3.26 For the situation shown, find the air pressure in the tank in psi. Calculate the force exerted on the gate at the support Bif the gate is 10 ft wide. Show a free body diagram of the gate with all the forces drawn in and their points of application located. Hinge TA 2 ft Air at pa Rectangular gate 6 ft Water -B +3 ft→arrow_forward3.6 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.6arrow_forward
- 3. hydrostatic force on each of the four sides. A cuboid tank 8 m long, 4 m wide, and 2 m high is full of water. Find thearrow_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_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
- 4. A 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 3 62.4 lb/ft. (Draw an illustration.) b. Find the force due to fluid pressure on one semicircular end of the container.arrow_forwardFig.4.31arrow_forwardA tank contains water up to a height of 10 m. One of the sides of the tank is inclined. The angle between free surface of water and inclined side is 60 degrees. The width of the tank is 5 m. Find the force in kN exerted by the water on the incline side. ( With Free Body Diagram)arrow_forward
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