Fox and McDonald's Introduction to Fluid Mechanics
9th Edition
ISBN: 9781118912652
Author: Philip J. Pritchard, John W. Mitchell
Publisher: WILEY
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 3, Problem 12P
In the deep ocean the compressibility of seawater is significant in its effect on ρ and p. If E =2.07 × 109 Pa, find the percentage change in the density and pressure at a depth of 10,000 metres as compared to the values obtained at the same depth under the incompressible assumption. Let ρo = 1020 kg/m3 and the absolute pressure po = 101.3 kPa
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
a submarine is sent to a certain depth in the atlantic ocean to investigate lifeforms present in the layer. the density of seawater measured in the deep layer is 1040 kg/m^3. the coefficient of compressibility of water in the deep layer is 2.4 GPa. calculate the absolute pressure at this layer given that the oceans surface density is 1035 kg/m3 and the absolute pressure is P=101.3 kpa
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
While the pressure remains constant @ 689.5 KPa, the volume of a system of air changes from 0.567m3 to 0.283m3. Find the change of internal energy.please show the formula used and cancellation of units, if possible include illustration also for better understanding
Chapter 3 Solutions
Fox and McDonald's Introduction to Fluid Mechanics
Ch. 3 - Because the pressure falls, water boils at a lower...Ch. 3 - Ear popping is an unpleasant phenomenon sometimes...Ch. 3 - When you are on a mountain face and boil water,...Ch. 3 - Your pressure gauge indicates that the pressure in...Ch. 3 - A 125-mL cube of solid oak is held submerged by a...Ch. 3 - The tube shown is filled with mercury at 20C....Ch. 3 - Calculate the absolute and gage pressure in an...Ch. 3 - An open vessel contains carbon tetrachloride to a...Ch. 3 - A hollow metal cube with sides 100 mm floats at...Ch. 3 - Compressed nitrogen (140 lbm) is stored in a...
Ch. 3 - If at the surface of a liquid the specific weight...Ch. 3 - In the deep ocean the compressibility of seawater...Ch. 3 - Assuming the bulk modulus is constant for sea...Ch. 3 - An inverted cylindrical container is lowered...Ch. 3 - A water tank filled with water to a depth of 16 ft...Ch. 3 - A partitioned tank as shown contains water and...Ch. 3 - Consider the two-fluid manometer shown. Calculate...Ch. 3 - The manometer shown contains water and kerosene....Ch. 3 - Determine the gage pressure in kPa at point a, if...Ch. 3 - With the manometer reading as shown, calculate px....Ch. 3 - Calculate px py for this inverted U-tube...Ch. 3 - An inclined gauge having a tube of 3-mm bore, laid...Ch. 3 - Water flows downward along a pipe that is inclined...Ch. 3 - A reservoir manometer has vertical tubes of...Ch. 3 - A rectangular tank, open to the atmosphere, is...Ch. 3 - The sketch shows a sectional view through a...Ch. 3 - The manometer reading is 6 in. when the funnel is...Ch. 3 - A reservoir manometer is calibrated for use with a...Ch. 3 - The inclined-tube manometer shown has D = 96 mm...Ch. 3 - The inclined-tube manometer shown has D = 76 mm...Ch. 3 - A barometer accidentally contains 6.5 inches of...Ch. 3 - A water column stands 50 mm high in a 2.5-mm...Ch. 3 - Consider a small-diameter open-ended tube inserted...Ch. 3 - Compare the height due to capillary action of...Ch. 3 - If atmospheric pressure at the ground is 101.3 kPa...Ch. 3 - If the temperature in the atmosphere is assumed to...Ch. 3 - A hydropneumatic elevator consists of a...Ch. 3 - Semicircular plane gate AB is hinged along B and...Ch. 3 - A circular gate 3 m in diameter has its center 2.5...Ch. 3 - For the situation shown, find the air pressure in...Ch. 3 - What is the pressure at A? Draw a free body...Ch. 3 - A plane gate of uniform thickness holds back a...Ch. 3 - A rectangular gate (width w = 2 m) is hinged as...Ch. 3 - Gates in the Poe Lock at Sault Ste. Marie,...Ch. 3 - Calculate the minimum force P necessary to hold a...Ch. 3 - Calculate magnitude and location of the resultant...Ch. 3 - Calculate magnitude and location of the resultant...Ch. 3 - A window in the shape of an isosceles triangle and...Ch. 3 - A large open tank contains water and is connected...Ch. 3 - The circular access port in the side of a water...Ch. 3 - The gate AOC shown is 6 ft wide and is hinged...Ch. 3 - The gate shown is hinged at H. The gate is 3 m...Ch. 3 - For the dam shown, what is the vertical force of...Ch. 3 - The parabolic gate shown is 2 m wide and pivoted...Ch. 3 - An open tank is filled with water to the depth...Ch. 3 - A dam is to be constructed using the cross-section...Ch. 3 - The quarter cylinder AB is 10 ft long. Calculate...Ch. 3 - Calculate the magnitude, direction (horizontal and...Ch. 3 - A hemispherical shell 1.2 m in diameter is...Ch. 3 - A cylindrical weir has a diameter of 3 m and a...Ch. 3 - If you throw an anchor out of your canoe but the...Ch. 3 - A hydrometer is a specific gravity indicator, the...Ch. 3 - A cylindrical can 76 mm in diameter and 152 mm...Ch. 3 - If the 10-ft-long box is floating on the oil-water...Ch. 3 - The timber weighs 40 lb/ft3 and is held in a...Ch. 3 - Find the specific weight of the sphere shown if...Ch. 3 - The fat-to-muscle ratio of a person may be...Ch. 3 - An open tank is filled to the top with water. A...Ch. 3 - If the timber weighs 670 N, calculate its angle of...Ch. 3 - The barge shown weighs 40 tons and carries a cargo...Ch. 3 - Quantify the experiment performed by Archimedes to...Ch. 3 - Hot-air ballooning is a popular sport. According...Ch. 3 - It is desired to use a hot air balloon with a...Ch. 3 - The opening in the bottom of the tank is square...Ch. 3 - A balloon has a weight (including crew but not...Ch. 3 - A helium balloon is to lift a payload to an...Ch. 3 - The stem of a glass hydrometer used to measure...Ch. 3 - A sphere of radius R is partially immersed to...Ch. 3 - A sphere of 1-in.-radius made from material of...Ch. 3 - You are in the Bermuda Triangle when you see a...Ch. 3 - Three steel balls (each about half an inch in...Ch. 3 - A proposed ocean salvage scheme involves pumping...
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
- An air bubble increases from the bottom of a well where the temperature is 27°C, to the surface where the temperature is 29°C. Find the percent increase in the volume of the bubble if the depth of the well is 7 m. Atmospheric pressure is 101.325 kPa. [γwater = 9.81 kN/m3]arrow_forwardFind the mass of helium at temperature of 8 degrees Celsius and a pressure of 200 KPa gage, if atmospheric pressure is 101. 92 Kpa. (R = 2079 J/kg degrees kelvin).arrow_forwardFind the mass density of helium at a temperature of 4 °C and a pressure of 184 kPa gage, if atmospheric pressure is 101.92 kPa. (R=2079 J/kg-°K)arrow_forward
- A closed tank of fluid (with density = 1100 kg/m³) as shown in the figure is 1 m in diameter and 1.5 m high is rigidly fixed to rotating arm having a 3 m radius. The arm rotates at a rate of 40 rad/ s. If the pressure at point A is 400000 Pa, gage: answer the following: %3D Diameter C Liquid Determine the local pressure at point B, (Pa, gage). Determine the local pressure at point C, ( Pa, gage). Determine the local pressure at point D, ( Pa, gage).arrow_forwardFind the pressure at the bottom of a tank containing a 3 m thick layer of mercury, a 2 m thick layer of water, and a 4 m thick layer of oil (D = 700 kg/m3). The tank is open to the air.arrow_forwardA gas expands from pressure P1 to pressure P2 (P2 =), If the process of 10. expansion is isothermal then the volume at the end of process is 0.55m³. If the process of expansion is adiabatic, the volume at the end of expansion will be closer to (Y =1.4)arrow_forward
- 1. A device for measuring the specific weight of a liquid consists of a U-tube manometer as shown. The manometer tube has an internal diameter of 0.5 cm and originally has water in it. Exactly 2 cm³ of unknown liquid is then poured into one leg of the manometer, and a displacement of 5 cm is measured between the surfaces as shown. What is the specific weight of the unknown liquid? Answer: Y = 0.5 cm. T 5 cm ↓ Waterarrow_forwardMercury is often used in thermometers. The mercury sits in a bulb on the bottom of the thermometer and rises up a thin capillary as the temperature rises. Suppose a mercury thermometer contains 3.380 g of mercury and has a capillary that is 0.200 mm in diameter. How far does the mercury rise in the capillary when the temperature changes from 0.0C to 25.0C? The density of mercury at these temperatures is 13.596 g/cm^3 and 13.534 g/cm^3, respectively.arrow_forwardThe density of mercury changes approximately linearly with temperature as ρ=851.5-0.086T in lbm/ft^3 (T in degrees F), so the same pressure difference will result in a manometer reading that is influenced by temperature. If a pressure difference of 14.7 lbf/in^2 is measured in the summer at 95F and in the winter at 5F, what is the difference in column height between the two measurements? what is the answer? a. 273.488 in b. 8.493 ft c. 1.899 ft d. 273.488 ftarrow_forward
- The figure A1(b) shows the pressure difference between two pipes, each containing a liquid of density = 1000 kg/m³, which it is measured using a manometer and is found to be 42 kN/m². Given that the liquid in the manometer is mercury and that a =1.5m and b=0.7m LIQUID at pressure p, b LIQUID at pressure p2 hp Figure A1(b) c) Calculate the unknown distance x in terms of h, d) Determine the value of the pressure head h,arrow_forwardAs shown in the figure, an inclined manometer is used to measure the pressure of the gas within the reservoir. The manometer fluid is mercury, which has a density of 845 Ib/ft3. The manometer fluid rises a distance d = 12 inches along the manometer tube, which is inclined e = 20° from the horizontal. The atmospheric pressure is 14.7 Ibf/in? and the acceleration of gravity is 32.2 ft/s?. Patm = 14.7 Ibf/in.? Gas reservoir g = 32.2 ft/s? a 20 in. Mercury (p = 845 Ib/ft³) Determine the gas pressure, in Ibf/in?. Express the pressure as a gage or a vacuum pressure, as appropriate, in Ibf/in2.arrow_forwardAn air receiver carries a pressure of 3500 kPa absolute @ a temperature of 25 C. A fire occurs near the receiver which causes the temperature to rise to 80 C. Neglecting the increased volume of the receiver due to expansion, calculate the air pressure at this temperature.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 PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering 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
Heat Transfer – Conduction, Convection and Radiation; Author: NG Science;https://www.youtube.com/watch?v=Me60Ti0E_rY;License: Standard youtube license