Fox and McDonald's Introduction to Fluid Mechanics
9th Edition
ISBN: 9781118912652
Author: Philip J. Pritchard, John W. Mitchell
Publisher: WILEY
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 4, Problem 64P
Obtain expressions for the rate of change in mass of the control volume shown, as well as the horizontal and vertical forces required to hold it in place, in terms of p1, A1, V1, p2, A2, V2, p3, A3, V3, p4, A4, V4, and the constant density ρ.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
The figure below shows a container filled with a liquid of density p up to a height of 4R. The container is of unit width into the
plane of the screen and AB is half a parabola with a height of kR and a base of R. Determine the magnitude and direction of the
horizontal component F# of the hydrostatic force acting on the curved surface AB if k= 3, R = 0.5 m, p = 1000 kg/m³ and the
gravitational acceleration g = 9.81 m/s². Note that F is positive if it acts towards the right and is negative if it acts towards the
left. Geometric properties of a half-parabola are also given below.
FH 1. [17.8419375, 18.9455625 kN.
4R
h
m/00
b
Liquid
Р
X
Half-Parabola
BR
9
A
KR
A = bh
|xc=bh³
yy,chb³
=
15
None
I need the answer as soon as possible
Chapter 4 Solutions
Fox and McDonald's Introduction to Fluid Mechanics
Ch. 4 - An ice-cube tray containing 250 mL of freshwater...Ch. 4 - A hot air balloon with an initial volume of 2600...Ch. 4 - A fully loaded Boeing 777-200 jet transport...Ch. 4 - On the Milford Trek in New Zealand, there is a...Ch. 4 - A high school experiment consists of a block of...Ch. 4 - For a small particle of styrofoam (density = 19.2...Ch. 4 - Air at 20C and an absolute pressure of 101.3 kpa...Ch. 4 - A block of copper of mass 5 kg is heated to 90C...Ch. 4 - The average rate of heat loss from a person to the...Ch. 4 - The velocity field in the region shown is given by...
Ch. 4 - The area shown shaded is in a flow where the...Ch. 4 - Obtain an expression for the kinetic energy flux,...Ch. 4 - A 0.3 m by 0.5 m rectangular air duct carries a...Ch. 4 - Across a shock wave in a gas flow there is a great...Ch. 4 - Water flows in a pipeline composed of 75-mm and...Ch. 4 - The velocity distribution for laminar flow in a...Ch. 4 - A farmer is spraying a liquid through 10 nozzles,...Ch. 4 - A university laboratory that generates 15 m3/s of...Ch. 4 - Hydrogen is being pumped through a pipe system...Ch. 4 - Calculate the mean velocities for these...Ch. 4 - If the velocity profile in a passage of width 2R...Ch. 4 - Fluid with 1040 kg/m3 density is flowing steadily...Ch. 4 - A rice farmer needs to fill a 150 m 400 m field...Ch. 4 - In your kitchen, the sink is 60 cm by 45.7 cm. by...Ch. 4 - Fluid passes through this set of thin closely...Ch. 4 - A pipeline 0.3 m in diameter divides at a Y into...Ch. 4 - A manifold pipe of 3 in. diameter has four...Ch. 4 - You are trying to pump storm water out of your...Ch. 4 - In the incompressible flow through the device...Ch. 4 - Water enters a wide, flat channel of height 2h...Ch. 4 - Find the average efflux velocity V if the flow...Ch. 4 - Find V for this mushroom cap on a pipeline. P4.32Ch. 4 - Incompressible fluid flows steadily through a...Ch. 4 - A two-dimensional reducing bend has a linear...Ch. 4 - Water enters a two-dimensional, square channel of...Ch. 4 - Viscous liquid from a circular tank. D = 300 mm in...Ch. 4 - A rectangular tank used to supply water for a...Ch. 4 - A cylindrical tank, 0.3 m in diameter, drains...Ch. 4 - Air enters a tank through an area of 0.018 m2 with...Ch. 4 - A cylindrical tank, of diameter D = 50 mm, drains...Ch. 4 - A conical flask contains water to height H = 36.8...Ch. 4 - Water flows steadily past a porous flat plate....Ch. 4 - A tank of fixed volume contains brine with initial...Ch. 4 - A conical funnel of half-angle = 30 drains...Ch. 4 - Evaluate the net rate of flux of momentum out...Ch. 4 - Water flows steadily through a pipe of length L...Ch. 4 - Evaluate the net momentum flux through the bend of...Ch. 4 - Evaluate the net momentum flux through the channel...Ch. 4 - A conical enlargement in a vertical pipeline is 5...Ch. 4 - A 100-mm nozzle is bolted (with 6 bolts) to the...Ch. 4 - The projectile partially fills the end of the 0.3...Ch. 4 - Considering that in the fully developed region of...Ch. 4 - A jet of water issuing from a stationary nozzle at...Ch. 4 - A circular cylinder inserted across a stream of...Ch. 4 - A 6-in.-diameter horizontal pipeline bends through...Ch. 4 - The axes of the pipes are in a vertical plane. The...Ch. 4 - Water flows through a tee in a horizontal pipe...Ch. 4 - In a laboratory experiment, the water flow rate is...Ch. 4 - A gate is 1 m wide and 1.2 m tall and hinged at...Ch. 4 - Water flows steadily through a fire hose and...Ch. 4 - Two types of gasoline are blended by passing them...Ch. 4 - A circular cylinder inserted across a stream of...Ch. 4 - The pressure difference results from head loss...Ch. 4 - Obtain expressions for the rate of change in mass...Ch. 4 - Water is flowing steadily through the 180 elbow...Ch. 4 - Water flows steadily through the nozzle shown,...Ch. 4 - The pump, suction pipe, discharge pipe, and nozzle...Ch. 4 - The passage is 1.2 m wide normal to the paper....Ch. 4 - If the two-dimensional flow rate through this...Ch. 4 - Assume the bend of Problem 4.35 is a segment of a...Ch. 4 - A flat plate orifice of 50 mm diameter is located...Ch. 4 - At rated thrust, a liquid-fueled rocket motor...Ch. 4 - Flow from the end of a two-dimensional open...Ch. 4 - Calculate the magnitude and direction of the...Ch. 4 - This water jet of 50 mm diameter moving at 30 m/s...Ch. 4 - If the splitter is removed from the plate of...Ch. 4 - Consider flow through the sudden expansion shown....Ch. 4 - A conical spray head is shown. The fluid is water...Ch. 4 - A curved nozzle assembly that discharges to the...Ch. 4 - The pump maintains a pressure of 10 psi at the...Ch. 4 - A motorboat moves up a river at a speed of 9 m/s...Ch. 4 - A 30 reducing elbow is shown. The fluid is water....Ch. 4 - A monotube boiler consists of a 6 m length of...Ch. 4 - Water is discharged at a flow rate of 0.3m3/s from...Ch. 4 - A nozzle for a spray system is designed to produce...Ch. 4 - The horizontal velocity in the wake behind an...Ch. 4 - An incompressible fluid flows steadily in the...Ch. 4 - Consider the incompressible flow of fluid in a...Ch. 4 - Air at standard conditions flows along a flat...Ch. 4 - Gases leaving the propulsion nozzle of a rocket...Ch. 4 - Two large tanks containing water have small...Ch. 4 - Students are playing around with a water hose....Ch. 4 - A 2-kg disk is constrained horizontally but is...Ch. 4 - A stream of water from a 50-mm-diameter nozzle...Ch. 4 - A plane nozzle discharges vertically 1200 L/s per...Ch. 4 - In ancient Egypt, circular vessels filled with...Ch. 4 - Incompressible fluid of negligible viscosity is...Ch. 4 - The narrow gap between two closely spaced circular...Ch. 4 - Design a clepsydra (Egyptian water clock), which...Ch. 4 - Water from a stationary nozzle impinges on a...Ch. 4 - A freshwater jet boat takes in water through side...Ch. 4 - The Canadair CL-215T amphibious aircraft is...Ch. 4 - Water, in a 100-mm-diameter jet with speed of 30...Ch. 4 - Consider a series of turning vanes struck by a...Ch. 4 - A steady jet of water is used to propel a small...Ch. 4 - The cart of Problem 4.105 is accelerated by a jet...Ch. 4 - A vane/slider assembly moves under the influence...Ch. 4 - A cart is propelled by a liquid jet issuing...Ch. 4 - For the vane/slider problem of Problem 4.107, find...Ch. 4 - If the cart of Problem 4.105 is released at t = 0,...Ch. 4 - The wheeled cart shown rolls with negligible...Ch. 4 - A rocket sled is to be slowed from an initial...Ch. 4 - Starting from rest, the cart shown is propelled by...Ch. 4 - Solve Problem 4.107 if the vane and slider ride on...Ch. 4 - For the vane/slider problem of Problem 4.114, plot...Ch. 4 - A rectangular block of mass M, with vertical...Ch. 4 - A vertical jet of water impinges on a horizontal...Ch. 4 - A rocket sled traveling on a horizontal track is...Ch. 4 - A rocket sled accelerates from rest on a level...Ch. 4 - A rocket sled with initial mass of 900 kg is to be...Ch. 4 - A rocket sled with initial mass of 3 metric tons,...Ch. 4 - A home-made solid propellant rocket has an initial...Ch. 4 - Neglecting air resistance, what speed would a...Ch. 4 - The moving tank shown is to be slowed by lowering...Ch. 4 - The 90 reducing elbow of Example 4.6 discharges to...Ch. 4 - Crude oil (SG = 0:95) from a tanker dock flows...Ch. 4 - The simplified lawn sprinkler shown rotates in the...Ch. 4 - Calculate the torque about the pipes centerline in...Ch. 4 - A fire truck is equipped with a 66 ft long...Ch. 4 - Calculate the torque exerted on the flange joint...Ch. 4 - Consider the sprinkler of Problem 4.130 again....Ch. 4 - A small lawn sprinkler is shown. The sprinkler...Ch. 4 - When a garden hose is used to fill a bucket, water...Ch. 4 - A pipe branches symmetrically into two legs of...Ch. 4 - Compressed air is stored in a pressure bottle with...Ch. 4 - A turbine is supplied with 0.6 m3/s of water from...Ch. 4 - Air is drawn from the atmosphere into a...Ch. 4 - At high speeds the compressor and turbine of the...Ch. 4 - Transverse thrusters are used to make large ships...Ch. 4 - All major harbors are equipped with fire boats for...Ch. 4 - A pump draws water from a reservoir through a...Ch. 4 - Liquid flowing at high speed in a wide, horizontal...
Additional Engineering Textbook Solutions
Find more solutions based on key concepts
Determine the normal stress in each member of the truss structure. All joints are ball joint, and the material ...
Introduction To Finite Element Analysis And Design
List two advantages of sputtering over evaporation.
Degarmo's Materials And Processes In Manufacturing
How does the multiple-spindle screw machine differ from the single-spindle machine?
DeGarmo's Materials and Processes in Manufacturing
The magnitude of vector force F (F) and its direction θ.
Engineering Mechanics: Statics & Dynamics (14th Edition)
In each case, calculate the value of Q and t that are used in the shear formula for finding the shear stress at...
Mechanics of Materials
The copper shaft is subjected to the axial loads shown. Determine the displacement of end A with respect to end...
Mechanics of Materials (10th Edition)
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
- The figure below shows a container filled with a liquid of density p up to a height of 4R. The container is of unit width into the plane of the screen and AB is half a parabola with a height of kR and a base of R. Determine the magnitude and direction of the vertical component Fy of the hydrostatic force acting on the curved surface AB if k = 2, R = 0.5 m, p = 1000 kg/m³ and the gravitational acceleration g = 9.81 m/s². Note that Fy is positive if it acts upwards and is negative if it acts downwards. Geometric properties of a half-parabola are also given below. Fy= 1. [-6.7362, -6.3438 kN. 4R h ထမ 35 b Liquid Р X Half-Parabola BR KR A = 3bh 1xc=²bh³ |yxc=hb³ |yy,c=²7/531 2 h63arrow_forwardOne end/side of the pipe is positioned on level (h1) and the other is tilted upward at a height h2.The pressure values of fluid within this pipe, both on level and up, are measured as P1 and P2.If the fluid flow is kept at constant speed,use Bernoulli’s principle to show that pressure of the fluid inside the pipe tilted upward, P2, is given by: P2=P1 -ρgh2arrow_forwardThe door of a jet liner has dimension of 2.3m x 1.2m. if the inside pressure of cabin is 100kpaa , what force is exerted on the door when the plane flies at an altitude where the outside pressure is 15 kpaa.arrow_forward
- A gas is contained in a vertical, frictionless piston-cylinder device. The piston has a mass m₁ = 6.4 kg and a cross-sectional area A = 35 cm². A compressed spring above the piston exerts a force of 300 N on the piston. If the atmospheric pressure is 101 kPa, determine the pressure of the gas inside the cylinder. Show free-body diagram for force analysis.arrow_forwardAir in the accompanying piston-cylinder device is in equilibrium at 190 oC.The mass of the hanging weight is 13kg.Atmospheric pressure is 100 kPA,and the piston diameter is 10cm.Determine the pressure of air inside.Assume g=9.81 m/s2.arrow_forwardThe parabolic end-plate of the trough shown here is subjected to a fluid pressure that varies linearly from 0 at its top to 100 lb/ft? at its bottom B, that is, p(y) = 100 -25y. Determine the magnitude of the resultant force on the end-plate. 2 ft 2 ft y = x² 4 ft B O 501 Ib O 271 Ib O 314 Ib O 427 Ib O 623 Ibarrow_forward
- 1. A wire is connected from a support at ri = (0, 2.0, 8.0) meters to an object of mass 45 kg at r2 (5.5, 4.3, 3.2) meters. Find the tension in the wire, expressed as both x, y, and z components and as a magnitude and direction relative to the hanging mass. Take the acceleration due to gravity as acting in the negative k direction, i.e a = (0, 0, -g).arrow_forwardThere are two liquids in the container in the picture: oil of density ρu=820kg/m3 and water of density ρw=998 kg / m3. Calculate max. pressure in the vessel if it rotates at an angular velocity ω=10 s-1. D=0.76m, H=0.9m, h1=0.3m, h2=0.45marrow_forwardAn open cylindrical container of radius R with a thin liquid layer of density p at the bottom, is rotating at a constant angular velocity w. As a result of the rotation, the liquid is displaced clearing a circular area at the bottom of the container or radius R/2. Determine the height of the liquid, H, on the cylindrical wall. R/2arrow_forward
- Water fills the pipe AB such that the absolute pressure at A is 450 kPa . The inner diameter of the pipe is 55 mm . The density of the water is 1000 kg/m³. Acceleration due to gravity is 9.81 m/s². (Figure 1) Figure B 0.3 m 0.4 m If the atmospheric pressure is 101 kPa, determine the resultant force the water and surrounding air exert on the cap at B. Express your answer to three significant figures and include the appropriate units.arrow_forwardPlease explain thoroughlyarrow_forwardIn the manometer above, point 2 is open and is exposed to the surroundings. Also, the water tank is pressurized by air from the inside as shown in the figure. If h1 = 22cm, h2 = 0.35m, and h3 = 47cm, and assuming that the acceleration due to gravity is 9.81m/s2, (density of water = 1011 g/L, density of oil = 770 kg/m3, density of mercury has a density of 13.75 kg/dm3) A) Calculate the gauge pressure (in torr) of the air inside the tank. B) Show in your diagram all the parts that can be cancelled in the pressure balance. C) Calculate the pressure at point C (in kPa).arrow_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 PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering 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