Numerical Methods For Engineers, 7 Ed
7th Edition
ISBN: 9789352602131
Author: Canale Chapra
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Textbook Question
Chapter 24, Problem 24P
To estimate the size of a new dam, you have to determine the total volume of water
| Date | Mid-Jan. | Mid-Feb. | Mid-Mar. | Mid-Apr. | Mid-June. | Mid-Sept. | Mid-Oct. | Mid-Nov. | Mid-Dec. |
| Flow, m3/s | 30 | 38 | 82 | 125 | 95 | 20 | 22 | 24 | 35 |
Determine the volume. Be careful of units, and take care to make a proper estimate of flow at the end points.
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QUESTION 2
A car of mass 750 kg moves along a stretch of road which can be modelled as a line of
greatest slope of a plane inclined to the horizontal at 30°. As the car moves up the roa
for 500 m its speed reduces from 20 ms-¹ to 15 ms-¹. Calculate:
a the loss of kinetic energy of the car
65,625)
66,625
67,625)
O 68,625)
The following table lists in order of magnitude the largest
recorded discharge of a river with a drainage area of 12,560 km'.
Year Q (m/s)
1948
2604
1933
2105
1928
1842
1932
1842
1917
1797
1947
1780
1921
1774
1927
1743
1938
1596
1936
1590
1922
1567
1912
1553
1925
1494
1924
1468
1916
1386
1918
1295
1292
1929
1943
1278
1919
1273
1323
1205
1939
1114
1934
1100
1945
1057
1935
1920
1046
1035
1914
995
1931
1913
1940
955
919
851
1942
851
1946
837
1926
817
1937
771
1944
769
1930
678
1941
618
1915
599
A. Estimate the 40- and 75-year inflow.
B. What is the probability of the 100-year value occurring in
any period of 7 consecutive year?
The wind data of a site is listed below. The data summarizes the wind speeds and their respective frequencies
at the hub height of the turbine described below:
Parameters:
Turbine
rotor diameter:
70.0 m
Overall efficiency:
33%
3
Site
air density
1.16 kg/m
generator disengaged for the input values below 30%
of the rated power
Generator cutoff
low speeds:
High speeds:
load dumping up to 3 times the rated power
Determine a generator size that maximizes the annual energy output. Consider generator ratings in increments
of 25 kW. Express the final answer in kWh.
Chapter 24 Solutions
Numerical Methods For Engineers, 7 Ed
Ch. 24 - Perform the same computation as Sec. 24.1, but...Ch. 24 - 24.2 Repeat Prob. 24.1, but use Romberg...Ch. 24 - 24.3 Repeat Prob. 24.1, but use a two- and a...Ch. 24 - 24.4 Integration provides a means to compute how...Ch. 24 - Use numerical integration to compute how much mass...Ch. 24 - 24.6 Fick’s first diffusion law states...Ch. 24 - The following data were collected when a large oil...Ch. 24 - 24.8 You are interested in measuring the fluid...Ch. 24 - Prob. 10PCh. 24 - 24.11 Glaucoma is the second leading cause of...
Ch. 24 - One of your colleagues has designed a new...Ch. 24 - Video an giography is used to measure blood flow...Ch. 24 - 24.14 Perform the same computation as in Sec....Ch. 24 - Perform the same computation as in Sec. 24.2, but...Ch. 24 - 24.16 As in Sec. 24.2, compute F using the...Ch. 24 - Stream cross-sectional areas (A) are required for...Ch. 24 - 24.18 As described in Prob. 24.17, the...Ch. 24 - 24.21 A transportation engineering study requires...Ch. 24 - 24.22 A wind force distributed against the side of...Ch. 24 - 24.23 Water exerts pressure on the upstream ...Ch. 24 - 24.24 To estimate the size of a new dam, you have...Ch. 24 - The data listed in the following table gives...Ch. 24 - The heat flux q is the quantity of heat flowing...Ch. 24 - 24.27 The horizontal surface area of a lake at a...Ch. 24 - 24.28 Perform the same computation as in Sec....Ch. 24 - 24.29 Repeat Prob. 24.28, but use five...Ch. 24 - Repeat Prob. 24.28, but use Romberg integration to...Ch. 24 - Faradays law characterizes the voltage drop across...Ch. 24 - 24.32 Based on Faraday’s law (Prob. 24.31), use...Ch. 24 - Suppose that the current through a resistor is...Ch. 24 - If a capacitor initially holds no charge, the...Ch. 24 - 24.35 Perform the same computation as in Sec....Ch. 24 - 24.36 Repeat Prob. 24.35, but use (a) Simpson’s ...Ch. 24 - 24.37 Compute work as described in Sec. 24.4, but...Ch. 24 - As was done in Sec. 24.4, determine the work...Ch. 24 - 24.39 The work done on an object is equal to the...Ch. 24 - The rate of cooling of a body (Fig. P24.40) can be...Ch. 24 - 24.41 A rod subject to an axial load (Fig....Ch. 24 - If the velocity distribution of a fluid flowing...Ch. 24 - 24.43 Using the following data, calculate the work...Ch. 24 - 24.44 A jet fighter’s position on an aircraft...Ch. 24 - 24.45 Employ the multiple-application Simpson’s...Ch. 24 - The upward velocity of a rocket can be computed by...Ch. 24 - Referring to the data from Problem 20.61, find the...Ch. 24 - Fully developed flow moving through a 40-cm...Ch. 24 - Fully developed flow of a Bingham plasticfluid...Ch. 24 - 24.50 The enthalpy of a real gas is a ...Ch. 24 - Given the data below, find the isothermal work...Ch. 24 - 24.52 The Rosin-Rammler-Bennet (RRB) equation is...Ch. 24 - For fluid flow over a surface, the heat flux to...Ch. 24 - The pressure gradient for laminar flow through a...Ch. 24 - 24.55 Velocity data for air are collected at...
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