Fox and McDonald's Introduction to Fluid Mechanics

9th Edition

ISBN: 9781118912652

Author: Philip J. Pritchard, John W. Mitchell

Publisher: WILEY

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Textbook Question

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Chapter 4, Problem 103P

Water, in a 100-mm-diameter jet with speed of 30 m*/*s to the right, is deflected by a cone that moves to the left at 14 m*/*s. Determine (a) the thickness of the jet sheet at a radius of 230 mm. and (b) the external horizontal force needed to move the cone.

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A 2.8-in-diameter horizontal water jet having a velocity of 88 ft/s strikes a curved plate, which deflects the water 180° at the same speed. Ignoring the frictional effects, determine the force required to hold the plate against the water stream.

A 3-in-diameter horizontal water jet having a velocity of 90 ft/s strikes a curved plate, which deflects the water 180° at the same speed. Ignoring the frictional effects, determine the force required to hold the plate against the water stream.

A jet of water of diameter 75 mm moving with a velocity of 25 m/s strikes a fixed plate in such a way that the angle between the jet and plate is 60°. Determine the force exerted by the jet on the plate (i) in the direction normal to the plate and (ii) in the direction of the jet.

# 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...

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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 100-ft3 /s wáter jet hits a horizontally lying stationary splitter, such that half of the mass flow is diverted one way and the other half is diverted the other way, and both streams have a uniform velocity of 18 ft/s. The deflection angle of the splitter is 45 degrees as shown. Obtain (a) the cross-sectional area of the jet and (b) the horizontal (x-y) components of the force required to hold the splitter in place.
*arrow_forward*A jet of water 50mm in diameter with a velocity of 18 m/s strikes a flat plate inclined atan angle of 25° to the axis of the jet. Determine the resultant force exerted on theplate.*arrow_forward*A 50. 95mm diameter horizontal jet of water strikes a plate. Determine the velocity of the jet if 80N of horizontal force is required to move the plate at 2.95m/s at opposite direction as that of jet. Choices 3.31 0.33 1.33 1.13 Note: please base your answer on the given sample choices thank you*arrow_forward* - A 50. 49mm diameter horizontal jet of water strikes a plate. .Determine the velocity of the jet if 80N of horizontal force is required to move the plate at 2.49m/s at the same direction as that of jet. Group of answer choices 1.18 1.81 8.18 8.81 Note: please base your answer on the given choices thsnks for the help
*arrow_forward*A 4-cm-diameter horizontal stationary water jet having a velocity of 50 m/s strikes a cone having in included angle at the apex 60'. The water leaves the cone symmetrically. Determine the force needed to hold the cone if: (a) It is stationary (b) It moves away from the jet at 20 m/s (c) It moves into the jet at 20 m's (Answer: (a) 421N (b) 151.5N (c) 825N)*arrow_forward*A 50. 49mm diameter horizontal jet of water strikes a plate. Determine the velocity of the jet if 80N of horizontal force is required to move the plate at 2.49m/s at opposite direction as that of jet. Group of answer choices 8.83 3.38 3.83 8.33*arrow_forward* - A horizontal jet of water 1 in. in diameter and having a velocity of 25 ft per second strikes against a vertical plate. (a) Determine the force (lb) on the plate if the plate is fixed.If the plate is moving in the same direction as the jet with a uniform velocity of 10 ft per second;(b) What is the relative velocity (ft/s), and(c) Determine the force (lb) on the plate.If the plate is moving in the opposite direction as the jet with a uniform velocity of 10 ft per second. (d) What is the relative velocity (ft/s), and(e) Determine the force(lb)on the plate.
*arrow_forward*A 50. 95mm diameter horizontal jet of water strikes a plate. Determine the velocity of the jet if 80N of horizontal force is required to move the plate at 2.95m/s at the same direction as that of jet. Group of answer choices 9.91 9.21 1.29 2.19*arrow_forward*Homework A circular jet of water at 20°C Implnges on the vane shown In flgure. The Incident jet has a velocity of 25 m/s and a dlameter of 200 mm. The vane divides the Incident jet equally, and the jet exits the vane as two jets, each making an angle of 200 with the Incoming Jet. (a) Determine the force on the vane when the vane 200 mm 25 m/s- 20° V. Incident jet Moving vane Is moving at a speed of 15 m/s In the same directlon as that of the Incident jet. (b) Determine the force on the vane when the vane Is moving at a speed of 15 m/s In the opposite dlirection to that of the Incident jet. Assume water at 20°C.*arrow_forward* - A 5-cm-diameter horizontal jet of water with a velocity of 30 m/s relative to the ground strikes a flat plate that is moving in the same direction as the jet at a velocity of 20 m/s. The water splatters in all directions in the plane of the plate. How much force does the water stream exert on the plate?
*arrow_forward*2) Consider the system of cylindrical pipes shown in the following figure, where a flow of water is traveling from the larger pipe to the other: Knowing that: D,=15 cm, D,=5cm, P,=100KPA and P,=60KPA Calculate the speed V1 of water in the larger section pipe: A V1= 9.24m/sec, B- V1 = 8.89m/sec, D1 D2 C-V = 4.54m/sec, D-V1 = 1.25m/sec, E-V, = 0.98m/sec, O A В O D O E*arrow_forward*Find the force exerted by a jet of water of diameter 75 mm on a stationary flat plate, when the jet strikes the plate normally with velocity of 20 m/s.*arrow_forward*

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