FLUID MECHANICS FUNDAMENTALS+APPS
4th Edition
ISBN: 9781259877766
Author: CENGEL
Publisher: MCG
expand_more
expand_more
format_list_bulleted
Videos
Question
Chapter 3, Problem 93CP
To determine
(a)
The stability of a submerged body whose center of gravity is above the center of buoyancy.
To determine
(b)
The stability of a floating body whose center of gravity is above the center of buoyancy.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
(a) A rectangular, iully enclosed tank 2.4m long, 1.4m wide and 0.8m high is
.constructed of sheet metal weighing 443.6 kg-f (force). The tank floats in sea water
of density 1025kg/m³ with its 0.8m sides vertical. If the centre of gravity is at the
geometric centre of the vessel, calculate the metacentric height and comment on the
stability of the tank.
(b) A hydrometer is an instrument used for measuring the relative density of liquids
based on the concept of buoyancy. A particular hydrometer is 80 cm in length.
When placed in pure water, 50cm of the hydrometer is submerged and it reads
1.000 as shown in Figure 1.
i) Calculate the density of the hydrometer?
ii) When placed in Alcohol, 65 cm of the hydrometer is submerged beneath the
alcohol. Calculate the densitv of alcohol?
iii) Determine the reading of the hydrometer when it is in the alcohol?
iv) What will happen when this hydrometer place in Pentane (p-625 kgm)?
Fluid
surface
1.00
Hydrometer-
80 cm
50cm
Figure 1: A hydrometer
(a)
(i)
1.
Indicate whether for each statement hereunder whether it is true or false
For a fully submerged body, righting moments are indicative of stability where the centre of
buoyancy is above the centre of gravity.
(ii)
For a fully submerged body, overturning moments are indicative of stability where the centre
of buoyancy is below the centre of gravity.
(iii)
parameter of stability.
For fully and partially submerged bodies, the metacentric height is also an important
(iv)
A positive metacentric height is indicative of a stable partially submerged body.
(v)
A negative metacentric height is indicative of unstable neutral equilibrium.
Consider a wooden cylinder (SG = 0.6) 0.80 m in diameter and 2.0 m long. Would this cylinder be
stable if placed to float with its axis vertical in oil (SG = 0.8)?
(A) Stable
(B) Unstable
Can't be determined
Chapter 3 Solutions
FLUID MECHANICS FUNDAMENTALS+APPS
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
- How can you calculate the hydrostatic force FR (magnitude) and its point of application (center of pressure) acting on the top surface of a submerged rectangular plate for vertical, and horizontal case.Explainarrow_forwardPlease show COMPLETE solutionarrow_forwardA Hollow cylinder 1.0 m in diameter and 2.0 m long waits at 3825 N. Howw many kN of lead weighing 110 kN/m³ must be fastened to the outside bottom to make the cylinder float vertically with 1.50 m submerged in freshwater.arrow_forward
- Midas threw a cube of an unknown porous composite in his bath. The floating cube is 10.0cm in width with a density value of 5.50 x 104 kg/cm³. i. What is the distance from half of the horizontal top surface of the cube to the waterlevel? ii. What mass of gold should be placed on the cube so that the value in b ị, reduces by25%?arrow_forwardA platform of volume 1.00 x 105 m g and density 927 kg/m 3 floats in seawater (density = 1024 kg/m 3 ). Draw and label a free body diagram representing the platform in the seawater. Calculate the volume of the platform that is above the water-line (i.e. not submerged). I need this answered urgently please.arrow_forwardFor thet Sability of floating body the (a) centre of buoyancy must coincide with the centre of gravity (b) centre of buoyancy must be above the centre of gravity (c) centre of gravity must be above the centre of buoyancy (d) metacentre must be above the centre of gravityarrow_forward
- Pls do this wooden cylinder question stepwise pls I don't have knowledge do if you are sure 100%arrow_forwardSolve Correctly A cylinder object is suspended in a liquid at a distance of 38cm below the surface. The diameter of the object is 140cm and the density of the object is 960 kg/m3. The density ratio is 1. Determine the height of the cylinder, if the buoyant force is 7N.arrow_forwardAn aluminum block (SG-2.5) has a dimension of 0.1 m x 0.1 m x h meters. It is floating in mercury (SG-13.6) and the submerged height of the block is 0.90 m. Determine the weight (kN) of the block.arrow_forward
- Problem 2: An ice cube floats in a glass of water. What fraction of the ice cube lies above the surface of the water? Assume the density of water and ice are 1000 kg/m3 and 920 kg/m3, respectively. m2 A qubo material is submorsod 9 w tharrow_forwardA sphere 3 ft in diameter floats half-submerged in a tank of oil (SGoil = 0.80). (a) What is the buoyant force, FB (lb)? (b) What is the weight, W, (lb) of the sphere? (c) What is the minimum weight, Wanchor, (lb) of an anchor weighing 150 lb/ft³ that will be required to submerge the sphere completely?arrow_forwardA submerged horizontal flat plate is suspended in water by a string attached at the centroid of its upper surface. Now the plate is rotated 45° about an axis that passes through its centroid. Discuss the change in the hydrostatic force acting on the top surface of this plate as a result of this rotation. Assume the plate remains submerged at all times.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 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