2. Water is flowing in a trapezoidal channel at a rate of Q = 20 m³/s. The critical depth y for such channel must satisfy the equation Q? 0 = 1- B g = 9.81 m/s², A = cross sectional area (m²), and B = the width of the channel at the surface (m). Where Solve for the depth y. B and A are related to y by B = 3 +y and A = 3y+ (y/2). Use false position with lower bound = 1.4 and upper bound = 1.7. Stop the iteration after reaching an approximate error of below 1%. You may add additional rows on the table if needed.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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USE THE GIVEN TABLE AND PERFORM FALSE POSITION METHOD

2. Water is flowing in a trapezoidal channel at a rate of Q = 20 m/s. The critical depth y for such channel must
satisfy the equation
Q2
0 = 1-
B
Where
g = 9.81 m/s?,
A = cross sectional area (m2), and
B = the width of the channel at the surfacc (m).
Solve for the depth y. B and A are related to y by B 3+y and A = 3y + (y/2). Use false position with lower
bound = 1.4 and upper bound = 1.7. Stop the iteration after reaching an approximate error of below 1%. You may
add additional rows on the table if needed.
f(XL)
f(Xu)
f(Xr)
AE (%)
i
XL
XU
Xr
1
4
CamScanner
Transcribed Image Text:2. Water is flowing in a trapezoidal channel at a rate of Q = 20 m/s. The critical depth y for such channel must satisfy the equation Q2 0 = 1- B Where g = 9.81 m/s?, A = cross sectional area (m2), and B = the width of the channel at the surfacc (m). Solve for the depth y. B and A are related to y by B 3+y and A = 3y + (y/2). Use false position with lower bound = 1.4 and upper bound = 1.7. Stop the iteration after reaching an approximate error of below 1%. You may add additional rows on the table if needed. f(XL) f(Xu) f(Xr) AE (%) i XL XU Xr 1 4 CamScanner
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