Numerical Methods for Engineers
7th Edition
ISBN: 9789814670876
Author: Chapra
Publisher: BOOKXCHANG
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Chapter 21, Problem 25P
A transportation engineering study requires that you determine the number of cars that pass through an intersection travelingduring morning rush hour. You stand at the side of the road andcount the number of cars that pass every 4 minutes at several timesas tabulated below. Use the best numerical method to determine
(a) The total number of cars that pass between 7:30 and 9:15, and
(b) The rate of cars going through the intersection per minute.(Hint: Becareful with units.)
| Time (hr) | 7:30 | 7:45 | 8:00 | 8:15 | 8:45 | 9:15 |
| Rate (cars per 4 min) | 18 | 24 | 14 | 24 | 21 | 9 |
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The City Council proposed to utilize government-owned land with an area of 21,600 square meters. One-third of the area will be used to plant mango trees while the rest of the land is where an emergency field hospital shall be built. As the city engineer, you were tasked to determine the rate at which the total average number of COVID cases is increasing at x=10 tents and dxdt=1 tent per day,given that if 25 tents are built, the average number of COVID cases per tent will be 6 cases while the average number of cases will increase by 2 per tent for each additional tent in the same area due to overcrowding.
The City Council proposed to utilize government-owned land with an area of 21,600 square meters. One-third of the area will be used to plant mango trees while the rest of the land is where an emergency field hospital shall be built. As the city engineer, you were tasked to determine the following:
The rate at which the total average number of COVID cases is increasing at x=10 tents and dxdt=1 tent per day, given that if 30 tents are built, the average number of COVID cases per tent will be 7 cases while the average number of cases will increase by 2 per tent for each additional tent in the same area due to overcrowding.
Need:
Illustration and Representation of Variables
Detailed Solution
Conclusion
The City Council proposed to utilize government-owned land with an area of 9,600 square meters. One-third of the area will be used to plant mango trees while the rest of the land is where an emergency field hospital shall be built. As the city engineer, you were tasked to determine the following:
the rate at which the total average number of COVID cases is increasing at x=10 tents and dxdt=1 tent per day, given that if 25 tents are built, the average number of COVID cases per tent will be 6 cases while the average number of cases will increase by 2 per tent for each additional tent in the same area due to overcrowding.
Please Include :
Illustration and Representation of Variables:
Detailed Solution (do not use piecewise):
Conclusion:
Chapter 21 Solutions
Numerical Methods for Engineers
Ch. 21 - 21.1 Evaluate the following...Ch. 21 - 21.2 Evaluate the following...Ch. 21 - Evaluate the following integral: 24(1x4x3+2x5)dx...Ch. 21 - Integrate the following function analytically and...Ch. 21 - 21.5 Integrate the following function both...Ch. 21 - Integrate the following function both analytically...Ch. 21 - 21.7 Integrate the following function both...Ch. 21 - 21.8 Integrate the following function both...Ch. 21 - 21.9 Suppose that the upward force of air...Ch. 21 - 21.10 Evaluate the integral of the following...
Ch. 21 - Prob. 11PCh. 21 - 21.12 Determine the mean value of the...Ch. 21 - 21.13 The function can be used to generate the...Ch. 21 - Evaluate the following double integral:...Ch. 21 - Evaluate the following triple integral...Ch. 21 - Develop a user-friendly computer program for the...Ch. 21 - Develop a user-friendly computer program for the...Ch. 21 - Develop a user-friendly computer program for...Ch. 21 - The following data was collected for a...Ch. 21 - 21.20 The outflow concentration from a reactor is...Ch. 21 - 21.21 An 11-m beam is subjected to a load, and the...Ch. 21 - The work produced by a constant temperature,...Ch. 21 - Determine the distance traveled for the following...Ch. 21 - 21.24 The total mass of a variable density rod is...Ch. 21 - 21.25 A transportation engineering study requires...Ch. 21 - Determine the average value for the data in Fig....
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