Fluid Mechanics Fundamentals And Applications
3rd Edition
ISBN: 9780073380322
Author: Yunus Cengel, John Cimbala
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 3, Problem 179P
To determine
The absolute pressure within the tank.
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A crate weighs 530 lb and is hung by three ropes attached to
a steel ring at A such that the top surface is parallel to the
xy plane. Point A is located at a height of h = 42 in above
the top of the crate directly over the geometric center of the
top surface. Use the dimensions given in the table below to
determine the tension in each of the three ropes.
2013 Michael Swanbom
cc00
BY NC SA
↑ Z
C
b
B
У
a
D
Values for dimensions on the figure are given in the following
table. Note the figure may not be to scale.
Variable Value
a
30 in
b
43 in
4.5 in
The tension in rope AB is 383
x lb
The tension in rope AC is 156
x lb
The tension in rope AD is 156
x lb
A block of mass m hangs from the end of bar AB that is 7.2
meters long and connected to the wall in the xz plane. The
bar is supported at A by a ball joint such that it carries only a
compressive force along its axis. The bar is supported at end
B by cables BD and BC that connect to the xz plane at
points C and D respectively with coordinates given in the
figure. Cable BD is elastic and can be modeled as a linear
spring with a spring constant k = 400 N/m and unstretched
length of 6.34 meters.
Determine the mass m, the compressive force in beam AB
and the tension force in cable BC.
Z
C
D
(c, 0, d)
(a, 0, b)
A
B
y
f
m
cc 10
BY
NC SA
2016 Eric Davishahl
x
Values for dimensions on the figure are given in the following
table. Note the figure may not be to scale.
Variable Value
a
8.1 m
b
3.3 m
с
2.7 m
d
3.9 m
e
2 m
f
5.4 m
The mass of the block is 68.8
The compressive force in bar AB is
364
× kg.
× N.
The tension in cable BC is 393
× N.
The airplane weighs 144100 lbs and flies at constant speed
and trajectory given by 0 on the figure. The plane
experiences a drag force of 73620 lbs.
0
a.) If 11.3°, determine the thrust and lift forces
=
required to maintain this speed and trajectory.
b.) Next consider the case where is unknown, but it is
known that the lift force is equal to 7.8 times the quantity
(Fthrust Fdrag). Compute the resulting trajectory angle
and the lift force in this case. Use the same values for the
weight and drag forces as you used for part a.
20.
YAAY'
Farag
Ө
Fthrust
CC +
BY NC SA
2013 Michael Swanbom
Flift Fweight
The lift force acts in the y' direction. The weight acts in the
negative y direction. The thrust and drag forces act in the
positive and negative x' directions respectively.
Part (a)
The thrust force is equal to 101,855
☑ lbs.
The lift force is equal to 141,282
☑ lbs.
Part (b)
The trajectory angle 0 is equal to
7.31
✓ deg.
The lift force is equal to 143,005
☑ lbs.
Chapter 3 Solutions
Fluid Mechanics Fundamentals And Applications
Ch. 3 - Someone claims that the absolute pressure in a...Ch. 3 - A tinysteel cube is suspended in water by a...Ch. 3 - Express Pascal’s law, and give a real-world...Ch. 3 - Consider two identical fans, one at sea level and...Ch. 3 - What is the difference between gage pressure and...Ch. 3 - Explain why some people experience nose bleeding...Ch. 3 - Prob. 7PCh. 3 - A vacuum gage connected to a chamber reads 36 kPa...Ch. 3 - The pressure at the exit of an air compressor is...Ch. 3 - The pressure in a water line is 1500 kPa. What is...
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. If a...Ch. 3 - Prob. 58PCh. 3 - Prob. 59PCh. 3 - Define the resultant hydrostatic force acting on a...Ch. 3 - Someone claims that she can determine the...Ch. 3 - A submersed horizontal flat plate is suspended in...Ch. 3 - You may have noticed that dams are much thicker at...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 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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