Solution-Define the graphical method for the critical depth

Define the graphical method for the critical depth

Assignment Help Mathematics

Reference no: EM131579563

Question: 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 0 = 1 - Q²/gA³c B. Where g = 9.81 m/s², Ac = 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 Ac 3y + y²/2

Solve for the critical depth using

(a) The graphical method,

(b) Bisection, and

(c) False position. For (b) and (c) use initial guesses of xt = 0.5 xa = 2.5, and iterate until the approximate error falls below 1 % or the number of iterations exceeds 10. Discuss your results.

Reference no: EM131579563

Questions Cloud

Describe which of the principles values and beliefs : Describe which of the principles or assumptions underlying these approaches you find most interesting and compatible with your own values and beliefs

Explain issues that can affect network efficiency : Explain issues that can affect network efficiency based on connectivity type. Pay attention to the current mission and functions, as well as staffing.

Most important issues : Need help writing a lengthy paper on: The most important issues you have identified in the case and how they can be addressed currently and avoided.

Examine argument that twitter created a strong sense : Using the Ashridge Sense of Mission Model analyse the case evidence to critically examine the argument that Twitter have created a strong sense of mission

Define the graphical method for the critical depth : 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 0 = 1 - Q2/gA3c B.

Discuss the distance of the peanut dish to the participant : the distance of the peanut dish to the participant and whether the peanuts are shelled or unshelled, but would the weight of the dish

Compute the effective sales price under these payment terms : Compute the effective sales price under these payment terms.

What must be true about the y-values at the maxima : Draw the graph of a function which has two maxima and two relative maxima.

Time value of money assignment : Dominic Joseph deposits $5,000 in a new savings account at his local bank. How much will be paid to the lender for interest each year?

User Account

All Pages

Define the graphical method for the critical depth

Reference no: EM131579563

Reference no: EM131579563

Questions Cloud

Reviews

Write a Review

Mathematics Questions & Answers

Questions on ferris wheel

Logistic map

Finding the probability of cards

Systems of ode

Derive the boolean expression

System of equations

Linear programming problem

Find the natural domain

Introduction to numerical methods

Chart of the topological manifold

Mathematics in computing

Complex problems

Assured A++ Grade

Academics

Major Subjects

Majors

Get In Touch

TERMS & POLICIES

HELP & SUPPORT