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An earthen dam is constructed on an impermeable bedrock layer. It is 85 m across,with conductivity and water levels above and below the dam shown in the figure and the current level of the water table shown in the black line. Assume that porosity is homogeneous, and that saturated hydraulic conductivity is homogeneous and isotropic. A. Compute the volume of water (per 100 mwide strip of the dam, in m³/day) that passesinto the dam from the reservoir. Compute thisflow rate through a surface area that extendsvertically down from the edge of the surface ofwater in the reservoir. Do the same for the flowrate into the tailwaters. B. The water table within the dam is not at steady state, as indicated by your answers in part (A). Sketch a control volume and derive a governing equation (which will be a partial differential equation) for unsteady flow through the reservoir. Although the water table is not completely horizontal, assume all the flow lines are horizontal. Your final answer should be a partial differential equation in terms of the height of the water table in the dam, h(x,t).Remember that you can also simplify your answer using the chain rule for multiplication from calculus to get your answer in terms ofh²2. C. Assume that the water table has reached steady state (there are no changes with respect to time). Solve the partial differential equation for h(x), including calculating values for the integration constants using the two constant-head boundary conditions on both sides of the reservoir for the differential equation. Your final answer should be a function h(x), with x as the only remaining variable.

3/2/22, 11:23 AM FSE 360 Fire Prot Hydr & Water Supply, Spring 22, 20730 Take t Information Friction Loss in Piping Multiple Not allowed. This test can only be taken once. Attempts * Question Completion Status: 10pt <lılı Description Instructions Using the friction loss and equivalent pipe length tables that can be found in NFPA and/or FM Global documentation, complete the following questions. Your answers are saved automatically. A V 18 QUESTION 1 5 points You have a water tank with a gauge at the bottom. The gauge reads 38psi. How high is the water tank filled above the gauge? For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS Paragraph Arial P I +] 88 |||| 3 ABC Ix XQS Q5 EE X² X₂ Assignments ✓ ΠΠΩ +8 旺 SE EXE ΨΩΘ. ot... ते 图 <> >¶¶< Friction Loss in Piping X {}} Save Answer O WORDS POWERED BY TINY Click Save and Submit to save and submit. Click Save All Answers to save all answers. ? Save All Answ https://eku.blackboard.com/webapps/assessment/take/launch.jsp?course_assessment_id=_456688_1&course_id=_307066_1&content_id=_17511461_1&step=null 1/3 3/2/22, 11:23 AM BIUS 10pt 8 P 10pt <ll < | +] 8 A P 3 E < ABC = = = = +18 Ix ABC Paragraph * Question Completion Status: How many equivalent feet of pipe is included in the following arrangement of pipe and appliances? Assume a c factor of 120 for all piping. Ix J 320 feet of 8" steel pipe, an 8" gate valve, an 8 inch double check backflow preventer, an 8" gate valve, 185 feet of 6" pipe, a 6" long turn elbow, and 2 feet of 6" pipe For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS Paragraph Arial ¶ "" AX Xa Q E E X² X₂ P "ΩΘΙ E Friction Loss in Piping - FSE 360 Fire Prot... ... AÐ Arial 國田用 XQ ¶" Daragraph >¶¶< X * DE <> † {} O WORDS POWERED BY TINY Q5 X² X₂ ¶ ¶< @ "ΩΘΙ Arial X QUESTION 4 How much friction loss in in the above described run of pipe if it is flowing at 1,375gpm? For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). RT U <> † {} O WORDS POWERED BY TINY 5 points Save Answer Click Save and Submit to save and submit. Click Save All Answers to save all answers. Save All Answ https://eku.blackboard.com/webapps/assessment/take/launch.jsp?course_assessment_id=_456688_1&course_id=_307066_1&content_id=_17511461_1&step=null 2/3 3/2/22, 11:23 AM | 88 [+ P QUESTION 5 * Question Completion Status: B IU S 10pt A V ABC === | 8 P +1 8 5 points Save Answer Your combined sprinkler and hose stream demand requirement at the base of the riser is 647gpm at 43 psi. You have a water test that shows you have 58 psi available at 647gpm at an effective point outside the building. The effective point is 9 feet higher than the base of the riser. You have also calculated a friction loss of 3 psi at this flow in the underground piping back to the effective point from the riser. Is the water supply sufficient for this sprinkler system? If so, what is your safety margin in psi. If not, what is your pressure deficiency in psi? ABC Take Test: Friction Loss in Piping - FSE 360 Fire Prot.... Ix ¶ AÐ Paragraph "Ω GE П 因出用 Arial XQ S X² X₂ O WORDS POWERED BY TINY " x ΠΩΘΙ ‹› † {} X₂ >1 ¶< * * ! A X ‹› † {} 0 WORDS POWERED BY TINY Click Save and Submit to save and submit. Click Save All Answers to save all answers. Save All Answ https://eku.blackboard.com/webapps/assessment/take/launch.jsp?course_assessment_id=_456688_1&course_id=_307066_1&content_id=_17511461_1&step=null 3/3

[1] A wave is propagating from deep water to shallow water perpendicularly. a) Derive the equation that can be used to evaluate the value of wave height in shallow water. b) If the wave height at deep water is H.-2.4 m and the angle of approach is 30°, what is the value of wave height at water depth of 4.5 m, given that wave period is 10s.

[3] A progressive wave having deep water wave height of H. = 5m and wave period of T=10s is propagating towards the shore. Calculate the wave height, Hi at the depth of 8 m. a) if the approaching wave angle in deep water is 30. b) if the approaching wave angle in deep water is 0. c) discuss the main differences between case a and case b (explain why the wave heights are different).

[7] What is the wave height and water depth at breaking for 1m 4s period wave shoaling on a 1:10 slope in a wave tank with water depth of 5m before the slope? What type of breaker would you expect?

4. (a) (10 pts) Calculate the wave speed of the tsunami in km/h using your external function "MpsTokmph.m", and print the speed in km/h using the disp function. (b) (10 pts) Calculate how far, in km, the wave will travel in 12 hours.

2. (10 pts) Calculates the speed of a tsunami in meters per second according to the formula Visunami = √√gd where g = 9.81 m/s² and d = 1400 is the depth of the ocean in meters and assigns the result to the variable velTsunami.

5. include housekeeping commands clear and clc. 6. include comments. 7. have only one command per line. 8. makes sure the output is suppressed except when the disp function is used.