Thinking Like an Engineer: An Active Learning Approach (3rd Edition)
3rd Edition
ISBN: 9780133593211
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, Problem 4RQ
You are experimenting with several liquid metal alloys to find a suitable replacement for the mercury used in thermometers. You have attached capillary tubes with a circular cross section and an inside diameter of 0.3 millimeters to reservoirs containing 5 cubic centimeters of each alloy. You mark the position of the liquid in each capillary tube when the temperature is 20 degrees Celsius, systematically change the temperature, and measure the distance the liquid moves in the tube as it expands or contracts with changes in temperature. Note that negative values correspond to contraction of the material due to lower temperatures. The data you collected for four different alloys is shown in the following table.
- a. In Excel, create two new columns for each compound to calculate the change in temperature (∆T) relative to 20 °C (for example, 25 °C gives ∆T = 5 °C) and the corresponding change in volume (∆V).
- b. Plot the change in volume versus the change in temperature: fit a linear trendline to each data set.
- c. From the trendline equations, determine the value and units of the coefficient of thermal expansion, β, for each alloy. Note that ∆V = βV∆T, where V is the initial volume.
- d. There is a small constant offset (C) in each trendline equation (∆V = βV∆T + C). What is the physical origin of this constant term? Can it be safely ignored? In other words, is its effect on the determination of β negligible?
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Chapter 12 Solutions
Thinking Like an Engineer: An Active Learning Approach (3rd Edition)
Ch. 12.1 - Prob. 1CCCh. 12.2 - Fluid A as a dynamic viscosity of 0.5 centipoise...Ch. 12.2 - Fluid A has a dynamic viscosity of 0.5 centipoise...Ch. 12.2 - Fluid A has a dynamic viscosity of 0.5 centipoise...Ch. 12.2 - You have three springs, with stiffness 1,2 and 3...Ch. 12.2 - You have three resistors with resistance 2,2, and...Ch. 12.2 - You have four 60-nanofarad [nF] capacitors. Using...Ch. 12.2 - You have three 120 millihenry [mH] inductors. Can...Ch. 12.3 - The graph shows the ideal gas law relationship...Ch. 12.3 - The preceding graph shows the ideal gas Jaw...
Ch. 12.4 - The decay of a radioactive isotope was tracked...Ch. 12 - Prob. 1ICACh. 12 - Prob. 2ICACh. 12 - Prob. 3ICACh. 12 - Mercury has a dynamic viscosity of 1.55...Ch. 12 - Prob. 5ICACh. 12 - Prob. 6ICACh. 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 flat 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 2.5, 5,...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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