Fluid Mechanics Fundamentals And Applications
3rd Edition
ISBN: 9780073380322
Author: Yunus Cengel, John Cimbala
Publisher: MCGRAW-HILL HIGHER EDUCATION
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 3, Problem 122P
The bottom quarter of a vertical cylindrical tank of total height 0.4 m and diameter 0.3 m is filed with a liquid (SG > 1, like glycerin) and the rest with water, as shown in the figure. The tank is now rotated about its vertical axis at a constant angular speed of
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
H.W.2/: The bottom quarter of a vertical cylindrical tank of total height 0.4 m and
diameter 0.3 m is filled with a liquid (SG > 1, like glycerin) and the rest with water,
as shown in the figure below. The tank is now rotated about its vertical axis at a
constant angular speed of v. Determine (a) the value of the angular speed when the
point P on the axis at the liquid-liquid interface touches the bottom of the tank and
(b) the amount of water that would be spilled out at this angular speed?
3h
h = 0.1 m
D = 0.3 m
The distance between the two plates, which are 2 m x 2 m in size and parallel to the earth surface, is 9 mm, and there is water at 20 ° C between them. Find the force in (N) to be applied to pull the top plate to the right at 10 m / s.
The sketch below shows a cylindrical tank that is filled with a liquid of density p. The lid of the tank
has a hole and atmospheric pressure is acting on the surface of the liquid. The tank rotates with a
constant angular velocity w, such that the liquid surface is at a radius r directly on the underside
of the lid, as shown.
R
"1
Pa
Pa
Do
Figure source see [4]
a) Determine the pressure distribution p in the fluid as a function of r and z.
b) Find a formula for the force that acts on the lid due to the pressure of the liquid.
c) What is the distance Do of the lowest level of the fluid surface to the bottom of the
tank, based on the values provided.
Gravitational acceleration: g = 9.81 m/s²
Height:
H
=
0.5 m
Radius:
TI
0.3 m
Angular velocity:
3.0 T/S
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...
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
- Find the center of mass of a uniform slice of pizza with radius R and angular width \theta Express your answer in terms of the variables R and \theta .arrow_forwardThe water level in the 1.8 m high and 1 m diameter cylindrical tank in the figure is 1.4 m. If this tank is rotated around its own axis at what speed will the axial depth be zero? (In other words, what is the number of revolutions at which a dry area will begin to form at the bottom of the tank?) Take the gravitational acceleration as 10 m / s2 and π as 3.arrow_forwardA closed cylindrical vessel, 3 m in diameter and 4 m high is filled with water to a depth of 3m and rotated about its own vertical axis at a constant angular speed, ω. The air inside the vessel is under a pressure of 130 kPa. If ω = 13 rad/sec, what is the pressure at the center and circumference at the bottom of the tank?arrow_forward
- Surface AB is a circular arc with a radius of 2 m and a width of 1 m into the paper. The distance EB is 4 m. The fluid above surface AB is water, and atmospheric pressure prevails on the free surface of the water and on the bottom side of surface AB. Find the magnitude and line of action of the hydrostatic force acting on surface AB.arrow_forwardI need the answer as soon as possiblearrow_forwardA tidal barrage is in the shape of a quarter cylinder of radius r=16m, as shown in the picture above. If the barrage is 13m wide and holds back water of density 1014kg/m³ to its full height, what is the magnitude of the vertical force on the barrage? Assume that the atmospheric pressure is constant. Give your answer in Kilo Newtons to the nearest whole number. Use an acceleration due to gravity of g=9.81m/s²arrow_forward
- Q5: The U-tube shown in figure (3), in filed with water and rotated about a vertical axis (0.15m) to the right of (A) For a gage pressure at (A) equal to zero Determine the rotational speed in (r.p.m)arrow_forward2. Cylindirical cup below is open at its top and totally filled with water. It is rotated with a contant angular velocity = 36.5 rad/s. Calculate volume and depth of water retained in the cup after this rotation. Hint: Volume of paraboloid is equal to the half volume of a cylinder with the same height. 0.4 m 0 0.08 m M X @₂=0arrow_forwardIt is the second asking. In the solution, you don't use "linear velocity is 6m/s" condition. Is it correct? We can solve this problem without "linear velocity is 6m/s"? Please explain it in detail.arrow_forward
- Approximate the iceberg as a perfect cylinder of uniform density, If the iceberg has a diameter of 3 meters and a length of 1.9 meters find the location of the metacenter as measured from the bottom of the iceberg. Take the density of sea water to be 1030 kg/m3 and the density of the ice to be 920 kg/m3.arrow_forwardFor what uniform rotation rate in r/min about axis C willthe U-tube in Fig. take the confi guration shown? Thefl uid is mercury at 20 ° C.arrow_forwardThe 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 = 15arrow_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