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Problem 4: During the daytime, water is drawn from an upper reservoir and is run through a turbine on its way to the lower reservoir in order to reduce power. The pipe is 100 m long and has a diameter of 0.75 m. It is constructed of commercial steel with has a roughness height of ε = 0.05 mm. Let z₁ be 60 m and Z₂ be 10 m. Z1 1 2 Z2 Part A: Find the power extracted by the turbine if the downward volume flow rate is 20,000 gallons per minute. You may assume the turbine is 100% efficient. Part B: Find the maximum power the turbine can deliver. What is the volumetric flow rate (in gallons per minute) for the maximum power output? (Hint: plot power vs flow rate in order to answer this question). Problem 5: Next, reference Problem 4 again. Now assume at night, you have 30*106 gallons that must be pumped back to the upper reservoir in order to replenish it. Part A: If the pump has a maximum of 1000 hp available, how long will it take to pump the water back to the upper reservoir? Part B: How much power would be required in order to pump the water back to the upper reservoir within 8 hours? 3 Dashboard Calendar To Do Notifications Inbox

Problem 4: During the daytime, water is drawn from an upper reservoir and is run through a turbine on its way to the lower reservoir in order to reduce power. The pipe is 100 m long and has a diameter of 0.75 m. It is constructed of commercial steel with has a roughness height of ε = 0.05 mm. Let z₁ be 60 m and Z₂ be 10 m. Z1 1 2 Z2 Part A: Find the power extracted by the turbine if the downward volume flow rate is 20,000 gallons per minute. You may assume the turbine is 100% efficient. Part B: Find the maximum power the turbine can deliver. What is the volumetric flow rate (in gallons per minute) for the maximum power output? (Hint: plot power vs flow rate in order to answer this question). Problem 5: Next, reference Problem 4 again. Now assume at night, you have 30*106 gallons that must be pumped back to the upper reservoir in order to replenish it. Part A: If the pump has a maximum of 1000 hp available, how long will it take to pump the water back to the upper reservoir? Part B: How much power would be required in order to pump the water back to the upper reservoir within 8 hours? 3 Dashboard Calendar To Do Notifications Inbox

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Problem 4: During the daytime, water is drawn from an upper reservoir and is run through a turbine on its way to the lower reservoir in order to reduce power. The pipe is 100 m long and has a diameter of 0.75 m. It is constructed of commercial steel with has a roughness height of ε = 0.05 mm. Let z₁ be 60 m and Z₂ be 10 m. Z1 1 2 Z2 Part A: Find the power extracted by the turbine if the downward volume flow rate is 20,000 gallons per minute. You may assume the turbine is 100% efficient. Part B: Find the maximum power the turbine can deliver. What is the volumetric flow rate (in gallons per minute) for the maximum power output? (Hint: plot power vs flow rate in order to answer this question). Problem 5: Next, reference Problem 4 again. Now assume at night, you have 30*106 gallons that must be pumped back to the upper reservoir in order to replenish it. Part A: If the pump has a maximum of 1000 hp available, how long will it take to pump the water back to the upper reservoir? Part B: How much power would be required in order to pump the water back to the upper reservoir within 8 hours? 3 Dashboard Calendar To Do Notifications Inbox
Transcribed Image Text:Problem 4: During the daytime, water is drawn from an upper reservoir and is run through a turbine on its way to the lower reservoir in order to reduce power. The pipe is 100 m long and has a diameter of 0.75 m. It is constructed of commercial steel with has a roughness height of ε = 0.05 mm. Let z₁ be 60 m and Z₂ be 10 m. Z1 1 2 Z2 Part A: Find the power extracted by the turbine if the downward volume flow rate is 20,000 gallons per minute. You may assume the turbine is 100% efficient. Part B: Find the maximum power the turbine can deliver. What is the volumetric flow rate (in gallons per minute) for the maximum power output? (Hint: plot power vs flow rate in order to answer this question). Problem 5: Next, reference Problem 4 again. Now assume at night, you have 30*106 gallons that must be pumped back to the upper reservoir in order to replenish it. Part A: If the pump has a maximum of 1000 hp available, how long will it take to pump the water back to the upper reservoir? Part B: How much power would be required in order to pump the water back to the upper reservoir within 8 hours? 3 Dashboard Calendar To Do Notifications Inbox
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