x=0 and x

you results.

5.16 Water is flowing in a trapezoidal channel at a rate of Q-20 m/s.

The critical depth y for such a channel must satisfy the equation

0²

B

8A

0=1-

stopping criterion of e, - 1%. Check

guesses of

M

where g 9.81 m/s. A, the cross-sectional area (m²), and B==

the width of the channel at the surface (m). For this case, the width

and the cross-sectional area can be related to depth y by

B = 3+ y and

Solve for the critical depth using (a) the graphical method, (b) bisec-

tion, and (c) false position. For (b) and (c) use initial guesses of

x=0.5 and x, = 2.5, and iterate until the approximate error falls

below 1% or the number of iterations exceeds 10. Discuss your results.

5.17 You are designing a spherical tank (Fig. P5.17) to hold water

for a small village in a developing country. The volu

A₂ = 3y +

2