EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 9780100254145
Author: Chapra
Publisher: YUZU
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Chapter 2, Problem 27P
As depicted in Fig. P2.27, a water tank consists of a cylinder topped by the frustum of a cone. Develop a well-structured function in the high-level language or macro language of your choice to compute the volume given the water level
FIGURE P2.27
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sphere volume =ar
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Pl. The volume of liquid, V, in a partially filled, horizontal, cylindrical tank of radius and length I is
related to the depth of the liquid, h, at the center line of the cylinder by the formula
v-[r³ cos (*=h) - (r-n)√2h-²³ -
V-
Develop a Python function to create a plot of liquid volume versus depth. Here are the first few lines:
import numpy as np
def cyltank (z, L,plot_title):
create a plot of the volume of liquid
in a horizontal, cylindrical tank
from empty to full tank
inputs:
x = inside radius of tank
L = length
plot title
string for title of plot
Test your program with
cyltank (3, 5, 'Volume vs. Depth for Horizontal Cylindrical Tank')
Chapter 2 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
Ch. 2 - 2.1 Write pseudocode to implement the flowchart...Ch. 2 - Prob. 2PCh. 2 - 2.3 Develop, debug, and document a program to...Ch. 2 - The sine function can be evaluated by the...Ch. 2 - 2.5 Develop, debug, and document a program for...Ch. 2 - The following algorithm is designed to determine a...Ch. 2 - The divide and average method, an old-time method...Ch. 2 - 2.8 An amount of money P is invested in an account...Ch. 2 - 2.9 Economic formulas are available to compute...Ch. 2 - 2.10 The average daily temperature for an area can...
Ch. 2 - Develop, debug, and test a program in either a...Ch. 2 - 2.12 The bubble sort is an inefficient, but...Ch. 2 - Figure P2.13 shows a cylindrical tank with a...Ch. 2 - 2.14 Two distances are required to specify the...Ch. 2 - Develop a well-structured function procedure that...Ch. 2 - Prob. 16PCh. 2 - Develop well-structured programs to (a) determine...Ch. 2 - 2.18 Piecewise functions are sometimes useful when...Ch. 2 - Develop a well-structured function to determine...Ch. 2 - 2.20 Develop a well-structured function to...Ch. 2 - 2.21 Manning’s equation can be used to compute the...Ch. 2 - 2.22 A simply supported beam is loaded as shown in...Ch. 2 - ThevolumeV of liquid in ahollow horizontal...Ch. 2 - 2.24 Develop a well-structured program to compute...Ch. 2 - The pseudocode in Fig. P2.25 computes the...Ch. 2 - 2.26 The height of a small rocket y can be...Ch. 2 - 2.27 As depicted in Fig. P2.27, a water tank...
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