F- 04. The following data was collected for a cross-section of a river (y = distance from the bank, H = depth and U = velocity): y, m H, m U, m/s 3 7 10 1.5 3 3.5 3.2 0.1 0.12 0.2 0.25 0.3 0.15 Use numerical integration to compute the (a) average depth, (b) cross-sectional area, (c) average velocity, and (d) the flow rate. Note that the cross-sectional area (A) and the flow rate (Q) can be computed as Ac = H(y)UY) dy

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
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Numerical Integration
F- 04. The following data was collected for a cross-section of a river (y = distance from the
bank, H = depth and U = velocity):
y, m
H, m
U, m/s
3
7
8.
10
1.5
3
3.5
3.2
2
0.1
0.12
0.2
0.25
0.3
0.15
Use numerical integration to compute the (a) average depth, (b) cross-sectional area, (c)
average velocity, and (d) the flow rate. Note that the cross-sectional area (A.) and the flow
rate (Q) can be computed as
Q =
H(y)U(y) dy
Transcribed Image Text:F- 04. The following data was collected for a cross-section of a river (y = distance from the bank, H = depth and U = velocity): y, m H, m U, m/s 3 7 8. 10 1.5 3 3.5 3.2 2 0.1 0.12 0.2 0.25 0.3 0.15 Use numerical integration to compute the (a) average depth, (b) cross-sectional area, (c) average velocity, and (d) the flow rate. Note that the cross-sectional area (A.) and the flow rate (Q) can be computed as Q = H(y)U(y) dy
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