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, Problem 3RQ
- 3. When rain falls over an area for a sufficiently long time, it will run off and collect at the bottom of hills and eventually find its way into creeks and rivers. A simple way to estimate the maximum discharge flowrate Q (in units of cubic feet per second [cfs]) from a watershed of area A (in units of acres) with a rainfall intensity i (in units of inches per hour) is given by an expression commonly called the Rational Method, as
Q=CiA
Values of C vary between about 0 (for flat rural areas) to almost 1 (in urban areas with a large amount of paved area).
A survey of a number of rainfall events was made over a 10-year period for three different watersheds. The data that resulted is given in the following table. Watershed A is 120 acres, B is 316 acres, and C is 574 acres.
| Storm event | Watershed | Rainfall Intensity {i) [in/h) | Maximum Runoff (Q) [cfs] |
| 1 | A | 0.5 | 30 |
| 2 | A | 1.1 | 66 |
| 3 | A | 1.6 | 96 |
| 4 | A | 2.1 | 126 |
| 5 | B | 0.3 | 47 |
| 6 | B | 0.7 | 110 |
| 7 | B | 1.2 | 188 |
| 8 | B | 1.8 | 283 |
| 9 | C | 0.4 | 115 |
| 10 | C | 1 | 287 |
| 11 | C | 1.5 | 430 |
| 12 | C | 2.4 | 690 |
- a. Create a graph containing all three watersheds, with flowrate on the ordinate, and fit linear trendlines to obtain a simple model for each watershed.
From the information given and the trendline model obtained, answer the following:
- b. What is the value and units of the coefficient C?
- c. What would the maximum flowrate be from a watershed of 200 acres if the rainfall intensity was 1.8 inches per hour?
- d. How long would it take at this flowrate to fill an Olympic-sized swimming pool that is 60 meters long, 30 meters wide, and 2 meters deep?
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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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