FLUID MECHANICS FUND. (LL)-W/ACCESS
4th Edition
ISBN: 9781266016042
Author: CENGEL
Publisher: MCG CUSTOM
expand_more
expand_more
format_list_bulleted
Videos
Question
Chapter 3, Problem 170P
To determine
The vertical force on a sphere submerged in fluid is equal to buoyancy force on sphere.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Knowing that the vertical component of force acting on a curved surface is given by dFV = PdAx, show that the net vertical force on a sphere submerged at a depth h in a liquid is equal to the buoyancy force on the same sphere.
A force, P, is applied to a piston with a mass of 15 kg and a diameter of 43 cm that rests on top of a cylinder
containing water as shown. (The piston is free to move in the cylinder, but is sealed so no water can escape.) An
open U-tube manometer is connected to the cylinder as shown. Determine the applied force, P in kN, if h1 = 68 mm
and h = 100 mm. You can use the following data: the specific weight of water is 9.81 kN/m³ and the specific gravity
of mercury is 13.546.
Approximate your answer to three decimal places
TU
Piston
Water
Mercury
2. Access plates on the industrial holding tank are bolted shut when the tank is
filled with vegetable oil. Determine the resultant force that this liquid exerts on plate
B, and its location measured from t he bottom of the tank. Use the Geothermal
Method. P = 932 kg/ m^3 (Hibbeler, 2015).
4 m
4 m
,1.5 m
2.5 m
5 m
2 m
Chapter 3 Solutions
FLUID MECHANICS FUND. (LL)-W/ACCESS
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
- One side of the container has a 03-m square door that is hinged at its top edge. If the container is filled with water, determine the smallest force F that must be applied to the bottom edge of the door to keep it closed.arrow_forward2. Consider a heavy car submerged in water in a lake with a flat bottom. The driver's side door of the car is 1.1 m high and 0.9 m wide, and the top edge of the door is 10 m below the water surface. Determine the net force acting on the door (normal to its surface) and the location of the pressure center if (a) the car is well-sealed and it contains air at atmospheric pressure and (b) the car is filled with water. -10 m Door, 1.1 m x 0.9 marrow_forward2. A circular ring (radius = 5.0 cm) is used to determine the surface tension of a liquid. The plane of the ring is positioned so that it is parallel to the surface of the liquid. The ring is immersed in the liquid and then pulled upward, so a film is formed between the ring and the liquid. In addition to the ring's weight, an upward force of 3.6 x 10 N is required to lift the ring to the point where it just breaks free of the surface. What is the surface tension of the liquid?arrow_forward
- Express the hydrostatic against the rectangular plate as an integral if it is submerge in water. State the integration limit for work. Measurements; Outside height;20ft Inside Height;12ft Length;4ft Distance between two shapes;3ftarrow_forwardIn mechanical fluidarrow_forwardAs shown, a 3m x 6m rectangular plate AB and a 4m x 6m triangular plate CD are submerged in water. Determine the magnitude and location of the forces due to water acting on each plate.arrow_forward
- Determine the vertical force applied by water on the container.arrow_forwardA glass tube of internal diameter 3mm is immersed in mercury. The angle of contact of mercury with glass can be taken as 130°. What will be the level of Hg in the tube relative to the free surface of the liquid outside the tube? Take surface tension of liquid = 0.48 N/m.arrow_forwardNeed step by steparrow_forward
- Consider a differential manometer whose ends are connected to two different pipes A andB and containing different liquids at different levels. Let us assume that the pressure at point A is more than that at point B. Oil is in pipe A whose density 800 kg/m³ shows a difference in mercury levels as 100 mm. The height of oil between center of pipe A to the mercury level in left limb is 200 mm. Methanol (relative density 0.791) is in pipe B and the height of Methanol between center of pipe B and mercury level in the right limb is 5 cm. Calculate the difference in pressures at the two points A and B.arrow_forwardA glass tube of intemal diameter 3 mm is immersed in mercury. The angle of contact of mercury with glass can be taken as 130°. What will be the level of Hg in the tube relative to the free surface of the liquid outside the tube? Take surface tension of liquid 0.48 N/m.arrow_forwardA rectangular parallelepiped with a square base d = 0.260 m on a side and a height h = 0.120 m has a mass m = 6.60 kg. While this object is floating in water, oil with a mass density ?o = 710 kg/m3 is carefully poured on top of the water until the situation looks like that shown in the figure. Determine the height of the parallelepiped in the water.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE L
International Edition---engineering Mechanics: St...
Mechanical Engineering
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:CENGAGE L
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