1. Water is flowing in a trapezoidal channel at rate of Q = 20m³ /s. The critical depth y for such a channel must satisfy the equation 0 = 1-B whereg = 9.81m/s², Ac = the cross sectional area (m²) , and B = the width of the channel at surface (m). For this case, the width and cross sectional area can be related to depth y by B = 3+ y and Ac = 3y + Solve the critical depth using (A) bisection method, (B) false position method use initial guesses of [a,b]=[0.5,2.5] and iterate until the the approximate error falls below 1% or the number of iterations exceed 10.
1. Water is flowing in a trapezoidal channel at rate of Q = 20m³ /s. The critical depth y for such a channel must satisfy the equation 0 = 1-B whereg = 9.81m/s², Ac = the cross sectional area (m²) , and B = the width of the channel at surface (m). For this case, the width and cross sectional area can be related to depth y by B = 3+ y and Ac = 3y + Solve the critical depth using (A) bisection method, (B) false position method use initial guesses of [a,b]=[0.5,2.5] and iterate until the the approximate error falls below 1% or the number of iterations exceed 10.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Solve the questions use five decimal place mantissa.
![1. Water is flowing in a trapezoidal channel at rate of Q = 20m³/s. The critical depth y
for such a channel must satisfy the equation 0 = 1 –B whereg = 9.81m/s?,
ga?
Ac = the cross sectional area (m?), and B = the width of the channel at surface (m).
For
this case, the width and cross sectional area can be related to depth y by B = 3 + y and
Ac = 3y +
%3D
Solve the critical depth using (A) bisection method, (B) false position method use initial
guesses of [a,b]=[0.5,2.5] and iterate until the the approximate error falls below 1% or
the number of iterations exceed 10.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe7a8d7cc-6354-4a3e-8bc2-1b86b252c4bd%2F3505e384-998b-401c-8ee8-8c04b4f15896%2Flnzjwm6_processed.png&w=3840&q=75)
Transcribed Image Text:1. Water is flowing in a trapezoidal channel at rate of Q = 20m³/s. The critical depth y
for such a channel must satisfy the equation 0 = 1 –B whereg = 9.81m/s?,
ga?
Ac = the cross sectional area (m?), and B = the width of the channel at surface (m).
For
this case, the width and cross sectional area can be related to depth y by B = 3 + y and
Ac = 3y +
%3D
Solve the critical depth using (A) bisection method, (B) false position method use initial
guesses of [a,b]=[0.5,2.5] and iterate until the the approximate error falls below 1% or
the number of iterations exceed 10.
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