Fluid Mechanics: Fundamentals and Applications
4th Edition
ISBN: 9781259696534
Author: Yunus A. Cengel Dr., John M. Cimbala
Publisher: McGraw-Hill Education
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Chapter 3, Problem 182P
To determine
The line of action for the resultant hydrostatic force on the plate.
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A vertical rectangular plate with a width of 16 m and a height of 12 m is located 4 m below a water surface. The line of action yp for the resultant hydrostatic force on this plate is (Neglect atmospheric pressure.)
(a) 4 m (b) 5.3 m (c) 8 m (d) 11.2 m (e) 12 m
Fluid machanic
The dam in Fig. P is a quarter circle 50 m wide into thepaper. Determine the horizontal and vertical componentsof the hydrostatic force against the dam and the point CPwhere the resultant strikes the dam.
Chapter 3 Solutions
Fluid Mechanics: Fundamentals and Applications
Ch. 3 - What is the difference between gage pressure and...Ch. 3 - A tinysteel cube is suspended in water by a...Ch. 3 - Explain why some people experience nose bleeding...Ch. 3 - Consider two identical fans, one at sea level and...Ch. 3 - Someone claims that the absolute pressure in a...Ch. 3 - Express Pascal’s law, and give a real-world...Ch. 3 - A pressure gage connected to a tank reads 500kPa...Ch. 3 - A vacuum gage connected to a chamber reads 25 kPa...Ch. 3 - The pressure at the exit of an air compressor is...Ch. 3 - A diver's watch resists an absolute pressure of...
Ch. 3 - Show that 1kgf/cm2=14.223psi .Ch. 3 - The pressure in a water line is 1500 kPa. What is...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 - 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 - A 180-Ibm man has a total foot imprint area of 68...Ch. 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 - The piston of a vertical piston-cylinder device...Ch. 3 - The vacuum pressure of a condenser is given to be...Ch. 3 - Water from a reservoir is raised in a vertical...Ch. 3 - The barometer of a mountain hiker reads 980 mbars...Ch. 3 - Determine the pressure exerted on a diver at 15 m...Ch. 3 - A gas is contained in a vertical, frictionless...Ch. 3 - The variation of pressure P in a gas with density ...Ch. 3 - Both a gage and a manometer are attached to a gas...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 - Consider a U-tube whose arms are open to the...Ch. 3 - The hydraulic lift in a car repair shop has an...Ch. 3 - Consider a double-fluid manometer attached to an...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 - Pressure is often given in terms of a liquid...Ch. 3 - Freshwater and seamier flowing in parallel...Ch. 3 - Repeat Prob. 3-48 by replacing the air with oil...Ch. 3 - The pressure difference between an oil pipe and...Ch. 3 - Consider the system shown in Fig. P3-51. If a...Ch. 3 - There is water at a height of 1 m in the rube open...Ch. 3 - Prob. 53PCh. 3 - A simple experiment has long been used to...Ch. 3 - A multifluid container is connected to a U-tube....Ch. 3 - A hydraulic lift is to be used to lift a 2500 kg...Ch. 3 - On a day in which the local atmospheric pressure...Ch. 3 - A U-tube manometer is used to measure the pressure...Ch. 3 - Define the resultant hydrostatic force acting on a...Ch. 3 - You may have noticed that dams are much thicker at...Ch. 3 - Someone claims that she can determine the...Ch. 3 - A submersed horizontal flat plate is suspended in...Ch. 3 - Consider a submerged curved surface. Explain how...Ch. 3 - Consider a submersed curved surface. Explain how...Ch. 3 - Consider a circular surface subjected to...Ch. 3 - Consider a 200-ft-high, dam filled to capacity....Ch. 3 - A cylindrical tank is folly filled with water...Ch. 3 - Consider a 8-m-long, 8-m-wide, and 2-m-high...Ch. 3 - Consider a heavy car submerged in water in a lake...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 - A water trough of semicircular cross section of...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 - For a gate width of 2 m into the paper (Fig....Ch. 3 - A long, solid cylinder of radius 2 ft hinged at...Ch. 3 - An open settling tank shown in the figure contains...Ch. 3 - From Prob. 3-80, knowing that the density of the...Ch. 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 - The bowl shown in the figure (the white volume) is...Ch. 3 - A triangular-shaped gate is hinged at point A, as...Ch. 3 - Gate AB ( 0.60.9m ) is located at the bottom of a...Ch. 3 - Find the force applied by support BC to the gate...Ch. 3 - A concrete block is attached to the sate as shown....Ch. 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 - What is buoyant force? What causes it? What is the...Ch. 3 - Prob. 93CPCh. 3 - Consider two 5-cm-diaineter spherical balls-one...Ch. 3 - Prob. 95CPCh. 3 - Consider two identical spherical bails submerged...Ch. 3 - Prob. 97PCh. 3 - The hull of a boat has a volume of 180 m3, and the...Ch. 3 - The density of a liquid is to be determined by an...Ch. 3 - Prob. 100PCh. 3 - It is estimated that 90 percent of an iceberg’s...Ch. 3 - One of the common procedures in fitness programs...Ch. 3 - The weight of a body is usually measured by...Ch. 3 - Under what conditions can a moving body of fluid...Ch. 3 - Consider a vertical cylindrical container...Ch. 3 - Consider two identical glasses of water, one...Ch. 3 - Consider a glass of water. Compare the water...Ch. 3 - A water tank is being towed by a truck on a level...Ch. 3 - Consider two water tanks filled with water. The...Ch. 3 - Prob. 111PCh. 3 - The bottom quarter of a vertical cylindrical tank...Ch. 3 - A 3-m-diameter, 7-m-long cylindrical tank is...Ch. 3 - A 30-cm-diameter, 90-cm-high vertical cylindrical...Ch. 3 - A fish tank that contains 60-cm-high water is...Ch. 3 - A15-ft-long, 6-ft-high rectangular tank open to...Ch. 3 - Consider a tank of rectangular cross-section...Ch. 3 - A 3-ft-diameter vertical cylindrical lank open to...Ch. 3 - Milk with a density of 1020 kg/m3 is transported...Ch. 3 - Prob. 120PCh. 3 - The distance between the centers of the two arms...Ch. 3 - A 1.2-m-diameter, 3-m-high scaled vertical...Ch. 3 - A 4-m-diameter vertical cylindrical milk tank...Ch. 3 - An 8-ft-long tank open to the atmosphere initially...Ch. 3 - Prob. 126PCh. 3 - Prob. 127PCh. 3 - Prob. 128PCh. 3 - Two vertical and connected cylindrical tanks of...Ch. 3 - The U-tube shown the figure subjected to an...Ch. 3 - Prob. 131EPCh. 3 - An air-conditioning system requires a 34-m-long...Ch. 3 - Determine the pressure exerted on the surface of a...Ch. 3 - A vertical, frictionless piston-cylinder device...Ch. 3 - If the rate of rotational speed of the 3-tube...Ch. 3 - The average atmospheric pressure on earth is...Ch. 3 - Prob. 137PCh. 3 - Prob. 139PCh. 3 - The basic barometer can be used as an...Ch. 3 - The lower half of a 12-m-high cylindrical...Ch. 3 - Prob. 142PCh. 3 - A pressure cooker cooks a lot faster than an...Ch. 3 - Prob. 144PCh. 3 - An oil pipeline and a 1.3-m3 rigid air tank are...Ch. 3 - A 20-cm-diameter vertical cylindrical vessel is...Ch. 3 - Prob. 148PCh. 3 - A gasoline line is connected to a pressure gage...Ch. 3 - Prob. 151PCh. 3 - Prob. 152EPCh. 3 - Consider a U-tube filled with mercury as shown in...Ch. 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. 156PCh. 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 - A 5-m-long, 4-m-high tank contains 2.5-m-deep...Ch. 3 - The density of a floating body can be determined...Ch. 3 - A raft is made using a number of logs with 25 cm...Ch. 3 - A prismatic timber is at equilibrium in a liquid,...Ch. 3 - The cylindrical lank containing water accelerates...Ch. 3 - A 30-cm-diameter. 100-cm-hish vertical cylindrical...Ch. 3 - The 280-ke, 6-m-wide rectangular gate shown in Fig...Ch. 3 - Prob. 168PCh. 3 - Determine the vertical force applied by water on...Ch. 3 - Prob. 170PCh. 3 - In order to keep the cone-shaped plus closed as...Ch. 3 - The gage pressure in a pipe is measured by a...Ch. 3 - Prob. 173PCh. 3 - Prob. 174PCh. 3 - The atmospheric pressure in a location is measured...Ch. 3 - Prob. 176PCh. 3 - Prob. 177PCh. 3 - Consider the vertical rectangular wall of a water...Ch. 3 - Prob. 179PCh. 3 - Prob. 180PCh. 3 - Prob. 181PCh. 3 - Prob. 182PCh. 3 - Prob. 183PCh. 3 - Prob. 184PCh. 3 - Consider a 6-m-diameter spherical sate holding a...Ch. 3 - Prob. 186PCh. 3 - Prob. 187PCh. 3 - Prob. 188PCh. 3 - Prob. 189PCh. 3 - Prob. 190PCh. 3 - Prob. 191PCh. 3 - Prob. 192PCh. 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 - Compare fee vortex with forced vortex according to...Ch. 3 - The density of stainless steel is about 8000 kg/m3...
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- A vertical rectangular plate with a width of 16 m and a height of 12 m is located 4 m below a water surface. The resultant hydrostatic force on this plate is (a) 2555 kN (b) 3770 kN (c) 11,300 kN (d) 15,070 kN (e) 18,835 kNarrow_forward: Gate AB in Fig. 3 is 6 m wide into the paper. It is hinged at A, and restrained by a stop at B. Water density is 1000 kg/m³. Determine: a) The hydrostatic force acting on the gat b) The location of the center of pressure (ycp) (5 Water B Fig. 3 Hinged gate 7m 5 marrow_forwardCurved panel BC in the figure is a 60-degree arc, perpendicular to the bottom at C. If the panel is 4 m wide, estimate the resultant hydrostatic force of the water on the panel. Use Ywater = 9.806 kN/m³ Answer: F = R=3m B 60° C 2 m Waterarrow_forward
- (c) A Gate AB in Fig. 1(c) is 1.2 m long and 1.0 m width. Neglecting atmospheric pressure, determine the resultant force F on the gate and its centre-of-pressure position X from point A. Oil, SG = 0.82 4 m 8 m A1.2 m F 40°arrow_forwardPanel BC in Fig. is circular. Compute ( a ) the hydrostaticforce of the water on the panel, ( b ) its center of pressure,and ( c ) the moment of this force about point B .arrow_forwardLike for those who doarrow_forward
- Round off at the final answer only (three decimal places)!arrow_forwardGate AB is a square with a dimension of 3m. Wherein it is tilted with an angle of inclination of 60°. The gate is submerged with oil (sg=0.82) on its left side. From point A of the gate it measures 3m vertically. Determine the following: a) The force acting on the gate. b) the location of the force. *arrow_forwardThis Utah-shaped plate is submerged in oil, (s=0.94) and lies in a vertical plane. Find the magnitude and location of the hydrostatic force acting on one side of the plate. * Oil surface 1.5 m 1.5 m 4.6 m 2.6 m 3.8 m O 4.27 4.47 O 4.67 4.87arrow_forward
- Please answer completelyarrow_forwardHelp me solve this questionarrow_forwardA rectangular plate with a width of 16 m and a height of 12 m is located 4 m below a water surface. The plate is tilted and makes a 35° angle with the horizontal. The resultant hydrostatic force acting on the top surface of this plate is (a) 10,800 kN (b) 9745 kN (c) 8470 kN (d ) 6400 kN (e) 5190 kNarrow_forward
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