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. 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.)


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