Thinking Like an Engineer: An Active Learning Approach (4th Edition)
4th Edition
ISBN: 9780134639673
Author: Elizabeth A. Stephan, David R. Bowman, William J. Park, Benjamin L. Sill, Matthew W. Ohland
Publisher: PEARSON
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Textbook Question
Chapter 12.6, Problem 11CC
The decay of a radioactive isotope was tracked over a number of hours, resulting in the following data. The decay of a radioactive element is modeled by the following equation, where C0 is the initial amount of the element at time zero, and k is the decay constant of the isotope.
C=C0e-kt
Determine the initial concentration and decay constant of the isotope, including value and units.
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The heat transfer conducted through material is calculated from the equation:
Q = KX AXTD/L
Where K: Conductivity of material
A: Area of heat transfer
TD: Temperature difference across material
L: Thickness of material
A student measures the area, thickness and temperature difference and assumes that the error in conductivity is negligible. The
student also estimates the uncertainty range for each variable.
In estimating the maximum possible value of Q, the student should use the following formula:
A
B
Q max= K x A max x TD max / L max
Q max= K x A max x TD max / L nom
Q max= Q nominal + dQ/dLmin
Q max= K x A max x TD max / L min
I1
Give an example how it is applied in molecular dynamics simulation and Monte carlo simulation?
Typical distributions of particles in a volume (e.g. crystal structure for a solid, or distribution of masses and velocities in a “typical” galaxy) - Distributions of particle velocities/energies (e.g. Boltzmann distribution at a fixed temperature)
- E.g. for a liquid it is common to start with a solid crystal structure and let the structure “melt” (by setting appropriate velocities corresponding to the liquid phase temperature!)
- E.g. to setup a collision of two galaxies, you could try to generate a stable distribution of masses and velocities for a single galaxy first by performing a separate simulation
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whats the difference in phase space in Molecular dynamics and Monte Carlo simulation?
Consider a process to prepare a metal for a certain application. There are five parameters that must be considered:
temperature, quenching rate, cooling time, carbon content, CO₂ concentration. It is desired to determine which of
these parameters has the most influence on the process. There are two levels for each parameter as shown below.
Temperature (°C)
Quenching Rate(°C/s)
Cooling time (s)
Carbon Content (wt% C)
CO₂ Concentration (%)
Eight experiments were defined as follows:
Experiment
Carbon
Content
(wt% C)
1
2
3
4
5
6
7
8
1) What size orthogonal array should be used for evaluation (assume noise is negligible)?
2) Generate the array with the level values (i.e. Level 1 and Level 2).
1
1
1
1
6
6
6
6
Quenching
Rate (°C/s)
35
35
140
140
35
35
140
140
Four trials were run for the experiments defined above:
Experiment
1
2
3
4
5
6
7
8
Level 1
760
35
1
1
5
T1
68.00
69.84
74.36
71.71
91.27
54.39
64.65
60.31
Cooling Time
1
1
300
300
300
300
1
1
T2
61.41
64.76
61.30
58.42
90.89
Level 2
900…
Chapter 12 Solutions
Thinking Like an Engineer: An Active Learning Approach (4th Edition)
Ch. 12.3 - Fluid A as a dynamic viscosity of 0.5 centipoise...Ch. 12.3 - Fluid A has a dynamic viscosity of 0.5 centipoise...Ch. 12.3 - Fluid A has a dynamic viscosity of 0.5 centipoise...Ch. 12.4 - You have three springs, with stiffness 1,2 and 3...Ch. 12.4 - You have three resistors with resistance 2,2, and...Ch. 12.4 - You have four 60-nanofarad [nF] capacitors. Using...Ch. 12.4 - You have three 120 millihenry [mH] inductors. Can...Ch. 12.5 - The graph shows the ideal gas law relationship...Ch. 12.5 - The preceding graph shows the ideal gas Jaw...Ch. 12.6 - The decay of a radioactive isotope was tracked...
Ch. 12 - The graph shows the ideal gas law relationship (PV...Ch. 12 - An inductor is an electrical device that can store...Ch. 12 - Solid objects, such as your desk or a rod of...Ch. 12 - Mercury has a dynamic viscosity of 1.55...Ch. 12 - SAE 99W10, a brand new type of motor oil has a...Ch. 12 - You have two springs each of stiffness 2 newton...Ch. 12 - Prob. 7ICACh. 12 - Four springs were tested, with the results shown...Ch. 12 - Four circuits were tested, with the results shown...Ch. 12 - Assume you have an unlimited number of inductors...Ch. 12 - a. The equivalent capacitance of the circuit shown...Ch. 12 - A standard guitar, whether acoustic or electric,...Ch. 12 - The vibrating frequency of a guitar string depends...Ch. 12 - Solid objects, such as your desk or a rod of...Ch. 12 - Eutrophication is a process whereby lakes,...Ch. 12 - The following graph shows the relationship between...Ch. 12 - The total quantity (mass) of a radioactive...Ch. 12 - Match the data series from the options shown on...Ch. 12 - 1. For a simple capacitor with two f lat plates,...Ch. 12 - 2. When we wish to generate hydroelectric power,...Ch. 12 - 3. When rain falls over an area for a sufficiently...Ch. 12 - You are experimenting with several liquid metal...Ch. 12 - 5. The resistance of a wire (R [ohm)) is a...Ch. 12 - 6. Use the figure shown to answer the following...Ch. 12 - 7. You are given four springs, one each of...Ch. 12 - You have three springs. You conduct several tests...Ch. 12 - 9. You are given four resistors, each of 7.5, 10,...Ch. 12 - 10. You have three resistors. You conduct several...Ch. 12 - 11. Use the diagrams shown to answer the following...Ch. 12 - 12. When a buoyant cylinder of height H, such as a...Ch. 12 - 13. It is difficult to bring the Internet to some...Ch. 12 - 14. The data shown in the following graph was...Ch. 12 - 15 A standard guitar, whether acoustic or...Ch. 12 - 16. Your supervisor has assigned you the task of...Ch. 12 - 17. One of the NAE Grand Challenges for...Ch. 12 - 18. When volunteers build a Habitat for Humanity...Ch. 12 - 1. As part of an electronic music synthesizer, you...Ch. 12 - Prob. 20RQ
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