Thinking Like an Engineer
4th Edition
ISBN: 9781269910989
Author: Elizabeth A. Stephan, David R. Bowman, William J. Park, Benjamin L. Sill, Matthew W. Ohland
Publisher: Pearson Learning Solutions
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Chapter 8, Problem 38RQ
A 10-liter [L] flask contains 1.3 moles [mol] of an ideal gas at a temperature of 20 degrees Celsius [°C]. What is the pressure in the flask in units of atmospheres [atm]?
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The elastic bar from Problem 1 spins with angular velocity ω about an axis, as shown in the figure below. The radial acceleration at a generic point x along the bar is a(x) = ω 2 x. Under this radial acceleration, the bar stretches along x with displacement function u(x). The displacement u(x) is governed by the following equations: ( d dx (σ(x)) + ρa(x) = 0 PDE σ(x) = E du dx Hooke’s law (2) where σ(x) is the axial stress in the rod, ρ is the mass density, and E is the (constant) Young’s modulus. The bar is pinned on the rotation axis at x = 0 and it is also pinned at x = L.
Determine:1. Appropriate BCs for this physical problem.2. The displacement function u(x).3. The stress function σ(x).
The heated rod from Problem 3 is subject to a volumetric heatingh(x) = h0xLin units of [Wm−3], as shown in the figure below. Under theheat supply the temperature of the rod changes along x with thetemperature function T(x). The temperature T(x) is governed by thefollowing equations:(−ddx (q(x)) + h(x) = 0 PDEq(x) = −kdTdx Fourier’s law of heat conduction(4)where q(x) is the heat flux through the rod and k is the (constant)thermal conductivity. Both ends of the bar are in contact with a heatreservoir at zero temperature.
Determine:1. Appropriate BCs for this physical problem.2. The temperature function T(x).3. The heat flux function q(x).
A heated rod of length L is subject to a volumetric heating h(x) = h0xLinunits of [Wm−3], as shown in the figure below. Under the heat supply thetemperature of the rod changes along x with the temperature functionT(x). The temperature T(x) is governed by the following equations:(−ddx (q(x)) + h(x) = 0 PDEq(x) = −kdTdx Fourier’s law of heat conduction(3)where q(x) is the heat flux through the rod and k is the (constant)thermal conductivity. The left end of the bar is in contact with a heatreservoir at zero temperature, while the right end of the bar is thermallyinsulated.
Determine:1. Appropriate BCs for this physical problem.2. The temperature function T(x).3. The heat flux function q(x).
Chapter 8 Solutions
Thinking Like an Engineer
Ch. 8.1 - The engine on a spacecraft nearing Mars can...Ch. 8.2 - The mass of the human brain is 1360 grams [g]....Ch. 8.2 - The mass of the human brain is 1360 grams [g]....Ch. 8.3 - Convert 50 grams per cubic centimeter [g/cm3] into...Ch. 8.3 - A 75-gram [g] cylindrical rod is measured to be 10...Ch. 8.4 - Determine the mass in units of grams of 0.025...Ch. 8.4 - Determine the amount in units of moles [mol] of 5...Ch. 8.5 - The temperature of dry ice is 109.3 degrees...Ch. 8.5 - The specific heat capacity of copper is 0.09...Ch. 8.6 - If the pressure is 250 feet of water [ft H2O],...
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Complete the following table. Assume you...Ch. 8 - You have been working to develop a new fictitious...Ch. 8 - Determine the mass in units of grams [g] of 0.35...Ch. 8 - Prob. 15ICACh. 8 - A eutectic alloy of two metals contains the...Ch. 8 - In the Spring of 2004, NASA discovered a new...Ch. 8 - Is there a physical condition at which a...Ch. 8 - Prob. 19ICACh. 8 - Prob. 20ICACh. 8 - If the pressure is 250 feet of water [ft H2O],...Ch. 8 - Prob. 22ICACh. 8 - Prob. 23ICACh. 8 - Complete the table, using the ideal gas law:...Ch. 8 - Complete the table for specific heat conversions:...Ch. 8 - Prob. 26ICACh. 8 - The specific heat of helium is 5.24 joules per...Ch. 8 - If a ball is dropped from a height (H) its...Ch. 8 - Which objectA, B, or Chas the most potential...Ch. 8 - The specific heats of aluminum and iron are 0.214...Ch. 8 - Complete the table for thermal conductivity...Ch. 8 - The thermal conductivity of a plastic is 0.325...Ch. 8 - The heat transfer coefficient of steel is 25 watts...Ch. 8 - Complete the table. This problem involves the...Ch. 8 - Complete the table. This problem involves the...Ch. 8 - Prob. 36ICACh. 8 - One problem with solar energy is that any given...Ch. 8 - A resistor is dissipating 125 milliwatts [mW] of...Ch. 8 - A 3-volt [V] battery delivers a constant current...Ch. 8 - A constant current charges a 20-nanofarad [nF]...Ch. 8 - 1. The space shuttle fleet was designed with two...Ch. 8 - Prob. 2RQCh. 8 - Prob. 3RQCh. 8 - Prob. 4RQCh. 8 - Prob. 5RQCh. 8 - Consider the following strange, but true, units: 1...Ch. 8 - Consider the following strange, but true, units: 1...Ch. 8 - A cube of material X, 1 inch [in] on all sides,...Ch. 8 - Prob. 9RQCh. 8 - The density of gasoline is 0.72 grams per cubic...Ch. 8 - A lab reports the density of a new element is X...Ch. 8 - The Eco-Marathon is an annual competition...Ch. 8 - A golden bar of metal (5 centimeters [cm] by 18...Ch. 8 - A rod on the surface of Jupiters moon Callisto has...Ch. 8 - Prob. 15RQCh. 8 - If we increase the temperature in a reactor by 90...Ch. 8 - Prob. 17RQCh. 8 - If we increase the temperature in a reactor by 90...Ch. 8 - We are making a cup of coffee and want the...Ch. 8 - Prob. 20RQCh. 8 - Prob. 21RQCh. 8 - Prob. 22RQCh. 8 - We want to construct a thermometer using mercury....Ch. 8 - Prob. 24RQCh. 8 - A normal blood pressure has a gauge pressure of...Ch. 8 - Prob. 26RQCh. 8 - Prob. 27RQCh. 8 - The force on the inside of a cork in a champagne...Ch. 8 - If a force of 15 newtons [N] is applied to a...Ch. 8 - A sensor is submerged in a silo to detect any...Ch. 8 - One of the National Academy of Engineering Grand...Ch. 8 - Prob. 32RQCh. 8 - Prob. 33RQCh. 8 - NASA is designing a mission to explore Titan, the...Ch. 8 - Prob. 35RQCh. 8 - Prob. 36RQCh. 8 - Prob. 37RQCh. 8 - A 10-liter [L] flask contains 1.3 moles [mol] of...Ch. 8 - A 10-liter [L] flask contains 5 moles [mol] of gas...Ch. 8 - An ideal gas in a 1.25-gailon [gal] container is...Ch. 8 - A 5-liter [L] container holds nitrogen (formula:...Ch. 8 - An ideal gas, kept in a 5-liter [L] container at...Ch. 8 - An ideal gas is kept in a 10-liter [L] container...Ch. 8 - A container holding 1.5 moles [mol] of oxygen...Ch. 8 - Which of the following requires the expenditure of...Ch. 8 - A 10-gram [g] rubber ball is released from a...Ch. 8 - If a ball is dropped from a height its velocity...Ch. 8 - A bail is thrown vertically into the air with an...Ch. 8 - A robotic rover on Mars finds a spherical rock...Ch. 8 - Prob. 50RQCh. 8 - Measurements indicate that boat A has twice the...Ch. 8 - If a 10-kilogram [kg] rotating solid cylinder...Ch. 8 - We go out to sunbathe on a warm summer day. If we...Ch. 8 - A 3-kilogram [kg] projectile traveling at 100...Ch. 8 - The maximum radius (R) a falling liquid drop can...Ch. 8 - Prob. 56RQCh. 8 - When we drive our car at 100 feet per second...Ch. 8 - The power required by an airplane is given by P =...Ch. 8 - Prob. 59RQCh. 8 - The power required by an airplane is given by P =...Ch. 8 - When gasoline is burned in the cylinder of an...Ch. 8 - A 100-watt [W] motor (60% efficient) is used to...Ch. 8 - A 100-watt [W] motor (60% efficient) is available...Ch. 8 - You need to purchase a motor to supply 400 joules...Ch. 8 - A robotic rover on Mars finds a spherical rock...Ch. 8 - Consider the following strange, but true, unit: 1...Ch. 8 - Prob. 67RQCh. 8 - When boiling water a hot plate takes an average of...Ch. 8 - Prob. 69RQCh. 8 - The power available from a wind turbine is...Ch. 8 - A constant voltage of 5 volts [V] is applied...Ch. 8 - A 10,000-microfarad [F] capacitor is charged to 25...
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