You are a team of consulting engineers studying the flow of water from a certain river into a large lake. You have data in the form of a graph detailing the amount of water that has flowed into the lake from the river over a fourteen-day period. The graph is given in Figure 1.

4. Construct a graph of the rate of flow of the river for the fourteen-day period.
5. Your group’s client is considering building as mall hydroelectric plant near the mouth of the river. For the project to be feasible, the plant needs to be able to operate at full capacity at least 70% of the time and at reduced capacity at least another 15% of the time. 

To operate at full capacity, a flow rate of at least 200 million gallons per day is required. However, if the flow rate rises above 400 million gallons per day, the equipment is stressed, and the plant must close down. 

If the flow rate is too small for full capacity operation, the plant can still operate at reduced capacity as long as the flow rate remains above 125 million gallons per day. 

Although a statistical analysis is what is needed for a final decision on the plant, what can you tell your client about the two-week observation period that would be relevant to the hydroelectric project? 

6. Suppose that the total flow for a two-week period is 35 hundred million gallons. 

(a) Give examples of different flow curves that are “good” for the power plant. Explain what you mean by “good.” Explain what the curves mean in terms of the river and the lake. 

(b) Suppose your client is concerned with having more power available during peak load periods (6 A.M.–8 A.M. and 9 P.M.–midnight). Draw some flow curves that are beneficial for your client. How do these flow curves differ from the ones you drew above? 
 

 

aa am of consulting engineen tudvine the ow af wuter frum a uenain river into a larpe lake You have Ga in the lonofa graph detaling the smout of water thut bas flowed into ther lake from the river over a fiurteen-day prid. The graph is given in Figure L tutal amurs l000 millin alana 30 20 (day Figure Your jub in to repot several result your cini follows First. detenmine the utal vulume of water tha h floend bmm ibe ner in the finst fve days of the hwrvatim penod: in the tirst sen days in he entire fourten day period. Questinns 2 and 3 are ludividual parta. Tha in, ach group menber in to anwer the questions for a different das. acconding sa the following fit Menher Day4 Menber 2: Doy o Menher 3 Day R Member 4 Day I 2 Emate th e nte offw fm three days befoee your lay anil your day, fmwo days bel ourday wl your day from one day befone your day umil your day Alo etimate the ege rae of fle fm yu day until three days after your day frm your day umil wo days after yout itey, from your day wil one de ahe your d 1 Emate the intatanes rate f w yout day 184 Project The remaining questions for this part are to be done by the entire group. 4. Determine all the time periods when the rate at which the water is flowing in increasing. 5. Determine all the time reriods when the rute at which the water is flowing is decreasing 6. Construct a graph of the rate of flow of the river for the fourteen day period. . Your group'% client is considering building a small hydroelectric plant near the mouth of the river. For the project to be feasible, the plant needs to be able to operate at full capacity at least 70% of the time and at reduced capacity a least another 15% of the time. To operate at full capacity, a flow rate of at least 200 million gallons per day is required. However, if the flow rate ries above 400 million gallons per day, the equipment is stressed, and the plant must close down If the tlow rate is too small for full capacity operation, the plant can still operate at reduced capacity as long as the flow rate remains above 125 million gallons per day Although a statistical analysis is what is needed for a final decision on the plant, what can you tell your cliem about the two-week observation period that would be relevant to the hydroelectric project? 8. Suppose that the total flow for a two-week period is 35 hundred million gallons (a) Give examples of different flow curves that are "good" for the power plant. Explain what you mean by "good." Explain what the curves mean in terms of the river and the lake. (b) Suppose your client is concemed with having more power available during peak load periods (6 AM.-S A.M. and 9 PM-midnight). Draw some flow curves that are beneficial for your client. How do these floe curves differ from the ones you drew above?