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 4.36PP
For the orange-drink tank shown in Fig. 4.32, compute the magnitude and location of the total force on each vertical end wall. The tank is m long.
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The tank shown in Fig. (1) is divided into two independent chambers. Air pressure is present in both sections. A manometer measures the difference between these pressures. A sphere oi wood (s. = 0.6) is fastened into the wall as shown. a- Compute the magnitude of the resultant of horizontal forces on the sphere. b- Compute the magnitude of the resultant of vertical forces on the sphere. Note : volume of sphere is (n D^3/ 6)
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
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_forwardProblem 4 A triangular gate is in the form of a right triangle with legs 1.8 m and 2.4 m. The 1.8 m leg is parallel and 9 m below the water surface. Calculate the magnitude and location of the force acting on the gate if it is: a. Vertical b. Horizontalarrow_forwardA droplet having a diameter of 0.0762 mm if it is equivalent to an air-water interface giving a surface tension of 0.0730 N/m. a. What is the difference in pressure between the inside and outside of a droplet in N/m²? b. Compute the pressure in kPa. c. Compute the force due to surface tension in N.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_forward14 ft long gate as shown in Fig.is a quarter circle and is hinged at H. Neglecting atmospheric pressure, compute 6 ft Water the hydrostatic resultant force on quarter-circle and its Gate direction. Hingearrow_forwardThe height of the water from the base of the rectangular tank is 1.5m. base measures 100cm by 80cm. Compute: a. The weight of the water in the tank b. The pressure exerted by the water at the base of the tank.arrow_forward
- 65.A cube of wood (s.g. 0.60) has 9-in sides. Compute the magnitude direction of the force required to hold the wood completely submerge in water.arrow_forward4. Calculate the pressure difference between the inside and outside of a water droplet with a diameter of 1/16 in at 70 °F. Hint: use the surface tension value in Appendix B of the book.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
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