Answered: During the daytime, water is drawn from…

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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During the daytime, water is drawn from an upper reservoir and is run through a turbine on its way to a lower reservoir in order to produce power. The pipe is 300 feet long and has a 2.0-foot diameter. It is constructed of commercial steel which has a roughness height of = 0:0018 in. Find the power extracted by the turbine if the downward volume áow rate is 20,000 gallons per minute.
(Recall that H2O = 1:94 slugs/ft3, H2O = 2:4 10^-5 slugs/fts.) You may assume that the turbine is 100% efficient.
(b) Find the maximum power the turbine can deliver. What is the volume flow rate (in gallons per minute) for maximum power output? (Hint: plot power vs. flow rate in order to answer this question.)

During the daytime, water is drawn from an upper reservoir and is run through a turbine on its way to a
lower reservoir in order to produce power.
z₁ = 200 ft
pump/turbine
Z₂ = 50 ft
Figure for problems 4 and 5.
The pipe is 300 feet long and has a 2.0-foot diameter. It is constructed of commercial steel which has a
roughness height of e=0.0018 in.
(a) Find the power extracted by the turbine if the downward volume flow rate is 20,000 gallons per minute.
(Recall that PH₂0 = 1.94 slugs/ft³, P₂0 = 2.4 x 10-5 slugs/ft-s.) You may assume that the turbine is
100% efficient.
(b) Find the maximum power the turbine can deliver. What is the volume flow rate (in gallons per minute)
for maximum power output? (Hint: plot power vs. flow rate in order to answer this question.)

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