Fluid Mechanics: Fundamentals and Applications
4th Edition
ISBN: 9781259696534
Author: Yunus A. Cengel Dr., John M. Cimbala
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 3, Problem 117P
Consider a tank of rectangular cross-section partially filled with a liquid placed on an inclined surface, as shown in the figure. When frictional effects are negligible, show that the slope of the liquid surface will be the same as the slope of the inclined surface when the tank is released. What can you say about the slope of the free surface when the friction is significant?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A test tube is placed in a rotating device that gradually positions the tube to a horizontal position. If the rate is 1000 rpm, estimate the pressure at the bottom of the relatively small-diameter test tube. The 12 cm-long tube contains water and the top of the tube is at a radius of 4 cm from the axis or rotation
A 1-m-diameter cylindrical mass, M, is connected to a 2-m wide rectangular gate as shown in the figure. The gate is to open when the
water level, h, drops below 1.9 m.
Determine the required value for M.
Neglect friction at the gate hinge and the pulley.
4 m
Water
-1-m-
diameter
1 m
kg
Consider two identical glasses of water, one stationary and the other moving on a horizontal plane with constant acceleration. Assuming no splashing or spilling occurs, which glass will have a higher pressure at the (a) front, (b) midpoint, and (c) back of the bottom surface?
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...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- A u_tube whose arms are open to the atmosphere. Now equal volumes of water and light oil. (density =49.4kg/m^3)are poured from different arms. A person blows from the oil side of the u_tube until the contact surface of the two fluid moves to the bottom u_tube, and thus the liquid levels in the two arms are the same .if the fluid height in each arm is 30in,Determine the gauge pressure the person exerts on the oil by blowing.arrow_forwardA wire ring of radius 6 cm is rested flat on the surface of a liquid and then slowly raised. The pull required is 0.06 N more before the film breaks than it is after. What is the surface tension of the liquid? Neglect the thickness of the ring.arrow_forwardYour car’s radiator is made of steel and is filled with water. You fill the radiator to very top with water, then drive off without remembering to replace the cap. As the water and steel radiator heats up, will the level of water drop or rise and overflow? Explain?To answer this question, first you will have to investigate what a radiator is and what purpose is it serves in a car?arrow_forward
- A submarine is modeled as a cylinder with a length of 440 ft, a diameter of 50 ft, and a conning tower, as shown in the figure below. The submarine can dive a distance of 50 ft from the floating position in about 30 s. Diving is accomplished by taking water into the ballast tank so the submarine will sink. When the submarine reaches the desired depth, some of the water in the ballast tank is discharged leaving the submarine in "neutral buoyancy" (i.e., it will neither rise nor sink). 3% of cylinder 7% of cylinder volume volume 25 ft Ballast tank Partially submerged position 3 ft 146344 50 ft Y'water = 64 lb/ft³ + Totally submerged position For the conditions illustrated, find (a) the weight of the submarine and (b) the volume of the water that must be in the ballast tank when the submarine is in neutral buoyancy. For seawater, S = 1.03. (a) W = 5.866 x107 lb (b) == Water ft3arrow_forward(b) Consider two identical water tanks (20 m x 10 m x 10 m) filled with water. The depth of water in the first tank is 8 m and it is stationary. The depth of water in the second tank is 6 m and it is moving vertically downward with a constant acceleration of 3.3 m/s?. Which tank will have a higher pressure at the bottom? Now, the first tank is moving horizontally in the direction of its length with a constant acceleration of 2.4 m/s?. Determine the shape of the free surface and the total force on the base and vertical faces of this tank. What will happen if these tanks are completely filled with water?arrow_forwardConsider a tank of rectangular cross section partially filled with a liquid placed on an inclined surface, as shown in the figure. When frictional effects are negligible, what is the relation between the slope of the liquid surface and the slope of the inclined surface when the tank released. L. Multiple Choice O O O a-B=1 α-1=ß a+B=1 a=Barrow_forward
- A 4-ft by 3-ft massless rectangular gate is used to close the end of the water tank shown in the figure below. A 200-lb weight attached to the arm of the gate at a distance from the frictionless hinge is just sufficient to keep the gate closed when the water depth is 2 ft, that is, when the water fills the semicircular lower portion of the tank. If the water were deeper, the gate would open. Determine the distance e in feet. 200 lb Gate -Hinge 1 ft Water Hinge 2 ft radius 4 ft 3 ftarrow_forwardA plug in the bottom of a pressurized tank is conical in shape, as shown in the figure below. The air gage pressure is 40 kPa and the liquid in the tank has a specific weight of 27 kN/m³. Determine the (a) magnitude, (b) direction, and (c) line of action of the force exerted on the curved surface of the cone within the tank due to the 40-kPa pressure and the liquid. Assume h = 2.9 m. (a) Fc= (b) (c) kN 1 m Air Liquid 60° 40 kPaarrow_forwardConsider a vertical cylindrical container partially filled with water. Now the cylinder is rotated about its axis at a specified angular velocity, and rigid-body motion is established. Discuss how the pressure will be affected at the midpoint and at the edges of the bottom surface due to rotation.arrow_forward
- Under what conditions can a moving body of fluid be treated as a rigid body?arrow_forwardA 3 m diameter vertical cylindrical tank is filled with water to a depth of 11 m. The rest of the tank is filled with air at atmospheric pressure. The tank is surrounded by air at atmospheric pressure. Assume pw =998 kg m-³ and g =9.81 ms-². What is the gage pressure on the bottom of the tank, in kPa? What is the absolute pressure on the bottom of the tank, in kPa? Determine the net force on the bottom of the tank, in kN.arrow_forwardMilk with a density of 970 kg/m^3 is transported on a level road in a 9-m long, 3-m diameter cylindrical tanker. The tanker is completely filled with milk, i.e., no air space in the tank. If the truck is accelerating from a stop signal at 7.0 m/s^2 to the left, determine the pressure difference between the maximum and minimum pressures in the tank. Depict on the figure the location of the minimum and maximum pressures in the tank. min. 9m 3marrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
Physics 33 - Fluid Statics (1 of 10) Pressure in a Fluid; Author: Michel van Biezen;https://www.youtube.com/watch?v=mzjlAla3H1Q;License: Standard YouTube License, CC-BY