Fixed inclination examination

Reference no: EM13134700

An irrigation canal has the shape of a trapezoid. Let x = the bottom width, y = the water depth, and theta = the angle of inclination of the sides from the horizontal.

a) Show that the area A = y(x|ytan(theta)) and the wetted perimeter P = x|cos(theta).

b) It is known that the best design for a fixed inclination is found by minimizing P subject to the constraint that the area A = A_0 is constant. Show that this implies that y^2 = (A_0)(cos(theta))/(2-sin(theta)).

Reference no: EM13134700

Questions Cloud

Find probability that reservations are accepted for flights : Find the probability that when 236 reservations are accepted for Flight 179, there are more passengers showing up than there are seats available.

Should cyber web services hire a new designer or outsource : She can also redirect the use of a computer and server to generate $4,000 in additional revenue from web page maintenance work. Should Cyber Web Services hire a new designer or outsource the work to Ky To?

Explain why you believe these ratios are critical : Select and explain ONLY the ratios that tell something important about Facebook either unusually strong or critically weak this should include the industry comparison or other basis for your evaluation and explain why you believe these ratios are ..

Writing a case study analysis? : writing a case study analysis?

Fixed inclination examination : An irrigation canal has the shape of a trapezoid. Let x = the bottom width, y = the water depth, and theta = the angle of inclination of the sides from the horizontal.

Explain and draw the possible chair forms of cis and trans : Draw the possible chair forms of cis and trans 1-isopropyl-3-methylcyclohexane. Are the two forms identical, enantiomeric, or diastereomeric?

What are the pros and cons for increasing the information : What are the pros and cons for increasing the information being supplied by companies in their segment reporting?

What has been the advantage of financing with debt as oppose : In capital budgeting (in recent years), what has been the advantage of financing with debt as opposed to equity?

What is the basis of each machine : Emma Grace acquires three machines for $80,000 which have FMVs of $32,000 $28,000 and $20,000 respectively. The delivery cost is $500 and the installation costs amount to $2,500. What is the basis of each machine ?

User Account

All Pages