Fluid Mechanics Fundamentals And Applications
3rd Edition
ISBN: 9780073380322
Author: Yunus Cengel, John Cimbala
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Textbook Question
Chapter 3, Problem 64CP
Consider a submerged curved surface. Explain how you would determine the horizontal component of the hydrostatic force acting on this surface.
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Students have asked these similar questions
Consider a submerged curved surface. Explain how you would determine the vertical component of the hydrostatic force acting on this surface.
A submerged horizontal flat plate is suspended in water by a string attached at the centroid of its upper surface. Now the plate is rotated 45° about an axis that passes through its centroid. Discuss the change in the hydrostatic force acting on the top surface of this plate as a result of this rotation. Assume the plate remains submerged at all times.
Calculate the depth of the center of pressure for vertical rectangular plate having a height h = 10ft and base b = 5ft, and submerged in a liquid with its base at the liquid surface. If the upper base of the vertical rectangular plate given in the example problem is submerged by 12ft below the water surface, determine the location of the hydrostatic force and center of pressure.
Answer should be (53,040 lbf and 17.4902ft)
Chapter 3 Solutions
Fluid Mechanics Fundamentals And Applications
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Ch. 3 - A manometer is used to measure the air pressure in...Ch. 3 - The water in a tank is pressurized by air, and the...Ch. 3 - Determine the atmospheric pressure at a location...Ch. 3 - The gagepressure in a liquid at a depth of 2.5 m...Ch. 3 - The absolute pressure in water at a depth of 8 m...Ch. 3 - Show that 1kgf/cm2=14.223psi .Ch. 3 - Prob. 17EPCh. 3 - Consider a 55-kg woman who has a total foot...Ch. 3 - A vacuum gage connected to a tank reads 45 kPa at...Ch. 3 - Prob. 20EPCh. 3 - A pressure gage connected to a tank reads 500kPa...Ch. 3 - Prob. 22PCh. 3 - Prob. 23PCh. 3 - Water from a reservoir is raised in a vertical...Ch. 3 - The barometer of a mountain hiker reads 980 mbars...Ch. 3 - The basic barometer can be used to measure the...Ch. 3 - Prob. 28PCh. 3 - Prob. 29EPCh. 3 - A gas is contained in a vertical, frictionless...Ch. 3 - Both a gage and a manometer are attached to a gas...Ch. 3 - The variation of pressure P in a gas with density ...Ch. 3 - The system shown in the figure is used to...Ch. 3 - The manometer shown in the figure is designed to...Ch. 3 - A manometer containing ( =850kg/m3 ) attached to a...Ch. 3 - A mercury ( =13,600kg/m3 ) is connected to an air...Ch. 3 - Repeat Prob. 3-37 for a differential mercury...Ch. 3 - Blood pressure is usually measured by rapping a...Ch. 3 - The maximum blood pressure in the upper arm of a...Ch. 3 - Consider a 1.73-m-tall man standing vertically in...Ch. 3 - Consider a U-tube whose arms are open to the...Ch. 3 - Prob. 44PCh. 3 - Freshwater and seamier flowing in parallel...Ch. 3 - Repeat Prob. 3-48 by replacing the air with oil...Ch. 3 - The pressure in a natural gas pipeline is measured...Ch. 3 - Repeat Prob. 3-42E by replacing air by oil with a...Ch. 3 - The gage pressure of the air in the tank shown in...Ch. 3 - Repeat Prob. 3-44 for a gage pressure of 40 kPa.Ch. 3 - The 500-kg load on the hydraulic lift show in Fig....Ch. 3 - Prob. 52EPCh. 3 - Pressure is often given in terms of a liquid...Ch. 3 - Prob. 54PCh. 3 - Consider a double-fluid manometer attached to an...Ch. 3 - The pressure difference between an oil pipe and...Ch. 3 - Consider the system shown in Fig. P3-51. 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Explain how...Ch. 3 - Consider a circular surface subjected to...Ch. 3 - Consider a heavy car submerged in water in a lake...Ch. 3 - A long, solid cylinder of radius 2 ft hinged at...Ch. 3 - Consider a 8-m-long, 8-m-wide, and 2-m-high...Ch. 3 - Consider a 200-ft-high, dam filled to capacity....Ch. 3 - A room the lower level of a cruise ship has a...Ch. 3 - The water side of the wall of a 70-m-long dam is a...Ch. 3 - For a gate width of 2 m into the paper (Fig....Ch. 3 - Determine the resultant force acting on the...Ch. 3 - A 6-m-high, 5-m-wide rectangular plate blocks the...Ch. 3 - The flow of water from a reservoir is controlled...Ch. 3 - Repeat Prob. 3-76E for a water height of 6 ft.Ch. 3 - A water trough of semicircular cross section of...Ch. 3 - Prob. 80PCh. 3 - An open settling tank shown in the figure contains...Ch. 3 - From Prob. 3-80, knowing that the density of the...Ch. 3 - Prob. 83PCh. 3 - The two sides of a V-shaped water trough are...Ch. 3 - Repeat Prob. 3-82 for the case of a partially...Ch. 3 - A retaining wall against a mud slide is to be...Ch. 3 - Prob. 87PCh. 3 - A 4-m-long quarter-circular gate of radius 3 m and...Ch. 3 - Repeat Prob. 3-90 for a radius of 2 m for the...Ch. 3 - Consider a flat plate of thickness t, width w into...Ch. 3 - Prob. 91PCh. 3 - Consider a 1-m wide inclined gate of negligible...Ch. 3 - Prob. 93PCh. 3 - What is buoyant force? What causes it? What is the...Ch. 3 - Consider two identical spherical bails submerged...Ch. 3 - Consider two 5-cm-diaineter spherical balls-one...Ch. 3 - Prob. 97CPCh. 3 - Prob. 98CPCh. 3 - The density of a liquid is to be determined by an...Ch. 3 - A crane is used to lower weights into a lake for...Ch. 3 - Prob. 101PCh. 3 - Prob. 102PCh. 3 - Prob. 103PCh. 3 - It is estimated that 90 percent of an iceberg’s...Ch. 3 - The weight of a body is usually measured by...Ch. 3 - Prob. 106PCh. 3 - Prob. 107PCh. 3 - The hull of a boat has a volume of 180 m3, and the...Ch. 3 - Under what conditions can a moving body of fluid...Ch. 3 - Consider a glass of water. Compare the water...Ch. 3 - Consider two identical glasses of water, one...Ch. 3 - Consider a vertical cylindrical container...Ch. 3 - Prob. 113PCh. 3 - Consider two water tanks filled with water. The...Ch. 3 - Prob. 115PCh. 3 - A 3-ft-diameter vertical cylindrical lank open to...Ch. 3 - Prob. 117PCh. 3 - A 30-cm-diameter, 90-cm-high vertical cylindrical...Ch. 3 - A fish tank that contains 60-cm-high water is...Ch. 3 - A 3-m-diameter vertical cylindrical milk tank...Ch. 3 - Consider a tank of rectangular cross-section...Ch. 3 - The bottom quarter of a vertical cylindrical tank...Ch. 3 - Milk with a density of 1020 kg/m3 is transported...Ch. 3 - Prob. 124PCh. 3 - The distance between the centers of the two arms...Ch. 3 - A 1.2-m-diameter, 3-m-high scaled vertical...Ch. 3 - A15-ft-long, 6-ft-high rectangular tank open to...Ch. 3 - An 8-ft-long tank open to the atmosphere initially...Ch. 3 - A 3-m-diameter, 7-m-long cylindrical tank is...Ch. 3 - Prob. 131PCh. 3 - Prob. 132PCh. 3 - Prob. 133PCh. 3 - Prob. 134PCh. 3 - An air-conditioning system requires a 34-m-long...Ch. 3 - Prob. 136PCh. 3 - If the rate of rotational speed of the 3-tube...Ch. 3 - A 30-cm-diameter vertical cylindrical vessel is...Ch. 3 - Prob. 139PCh. 3 - Prob. 141PCh. 3 - Prob. 142EPCh. 3 - The basic barometer can be used as an...Ch. 3 - The lower half of a 12-m-high cylindrical...Ch. 3 - A vertical, frictionless pistoncylinder device...Ch. 3 - A pressure cooker cooks a lot faster than an...Ch. 3 - Prob. 147PCh. 3 - The average atmospheric pressure on earth is...Ch. 3 - When measuring small pressure differences with a...Ch. 3 - Prob. 150EPCh. 3 - Prob. 151PCh. 3 - A gasoline line is connected to a pressure gage...Ch. 3 - Prob. 154PCh. 3 - Prob. 155EPCh. 3 - The pressure of water flowing through a pipe is...Ch. 3 - Consider a U-tube filled with mercury as shown in...Ch. 3 - Prob. 158PCh. 3 - The variation of pressure with density in a thick...Ch. 3 - A 3-m-high. 5-m-wide rectangular gale is hinged al...Ch. 3 - Prob. 161PCh. 3 - A semicircular 40-ft-diameter tunnel is to be...Ch. 3 - A 30-ton. 4-m-diameter hemispherical dome on a...Ch. 3 - The water in a 25-m-deep reservoir is kept inside...Ch. 3 - Prob. 165PCh. 3 - A 1-m-diameter, 2-m-high vertical cylinder is...Ch. 3 - A 5-m-long, 4-m-high tank contains 2.5-m-deep...Ch. 3 - Prob. 169PCh. 3 - Prob. 170PCh. 3 - The density of a floating body can be determined...Ch. 3 - The 280-ke, 6-m-wide rectangular gate shown in Fig...Ch. 3 - Prob. 173PCh. 3 - Prob. 174PCh. 3 - Prob. 175PCh. 3 - The gage pressure in a pipe is measured by a...Ch. 3 - Prob. 177PCh. 3 - Prob. 178PCh. 3 - Prob. 179PCh. 3 - Consider the vertical rectangular wall of a water...Ch. 3 - Prob. 181PCh. 3 - Prob. 182PCh. 3 - Prob. 183PCh. 3 - Prob. 184PCh. 3 - Prob. 185PCh. 3 - Consider a 6-m-diameter spherical sate holding a...Ch. 3 - Prob. 188PCh. 3 - Prob. 189PCh. 3 - Prob. 190PCh. 3 - Prob. 191PCh. 3 - Prob. 192PCh. 3 - A 15-cm-diameter, 40-cm-high vertical cylindrical...Ch. 3 - Prob. 194PCh. 3 - Prob. 195PCh. 3 - Shoes are to be designed to enable people of up to...Ch. 3 - The volume of a rock is to be determined without...Ch. 3 - The density of stainless steel is about 8000 kg/m3...
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- One side of the container has a 03-m square door that is hinged at its top edge. If the container is filled with water, determine the smallest force F that must be applied to the bottom edge of the door to keep it closed.arrow_forwardIs the hydrostatic pressure the same along any constant horizontal line?arrow_forwardConsider a 8-m-long, 8-m-wide, and 2-m-high aboveground swimming pool that is filled with water to the rim. (a) Determine the hydrostatic force on each wall and the distance of the line of action of this force from the ground. (b) If the height of the walls of the pool is doubled and the pool is filled, will the hydrostatic force on each wall double or quadruple? Why? Explain how you reach to answerarrow_forward
- Discuss the resultant hydrostatic force acting on a submerged surface and the center of pressure. Why do the forces acting on a surface vary when the surface is tilted or in a vertical position?arrow_forwardHow can I get the solutions for this problem? (answers are given) If the upper base of the vertical rectangular plate with ( height =10ft and base= 5ft) is submerged 12ft below the water's surface, determine the hydrostatic force and the location of the center of pressure. (Answers: 53040 lbf and 17.4902 ft)arrow_forwardHow can you calculate the hydrostatic force FR (magnitude) and its point of application (center of pressure) acting on the top surface of a submerged rectangular plate for vertical, and horizontal case.Explainarrow_forward
- A circular plate 3.0 m diameter is immersed in water in such a way that the plane of the plate makes an angle of 60 degrees with the free surface of water. Determine the position of the center of pressure from the free surface when the upper edge of the plate is 2 m below the free water surface.arrow_forwardA 2-ft-thick block constructed of wood (SG-0.6) is submerged in oil (SG=0.8), and has a 2-ft-thick aluminum (specific weight - 168 lb/ft) plate attached to the bottom as indicated in the figure below. (a) Determine the magnitude of the point force (acting on the bottom of the aluminum plate) required to hold the block in the position shown. (b) Locate the force with respect to point A. (a) F-1 (b) Li 18 0.5 2 lb (upward) ft (to right of point A) -10 ft- 7 Oil Aluminumarrow_forwardA cylindrical tank 2m diameter and 4 m long, with its axis horizontal, is half filled with water and half filled with oil of density 880 kg/m3. Determine the location of the hydrostatic force from the top of the cylinder. Express your answer in two decimal place and in terms of m.arrow_forward
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