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Problem 4 (15 points) A cast iron pipe having an inner diameter of 100mm, roughness 0.26mm and length 50m is used to fill the cylindrical tank with water, (p=1000kg/m³, u=0.001kg/(m·s)). The pressure at A and B are both atmospheric. Water is drawn from a large reservoir so that the velocity at A can be approximated as zero and the flow can be treated as steady. Water will be filled in 6.5min to 3m depth in the tank which has a diameter of 2m. (a) Find the flow rate Q; (b) Find the required power output from the pump, W₁ = pQgh, with h, being the pump head. Neglect all minor losses. The head loss eqn. is: P P V² P V2 τα +z+h τα -+z +h+h friction pg 2g pg 2g where h, = W/pQg,h₁ = W/ pQg are the pump head and turbine head, respectively, with W,,W, being the pump power and turbine power. h friction includes both major and minor losses. B 2 m 12 m

Problem 4 (15 points) A cast iron pipe having an inner diameter of 100mm, roughness 0.26mm and length 50m is used to fill the cylindrical tank with water, (p=1000kg/m³, u=0.001kg/(m·s)). The pressure at A and B are both atmospheric. Water is drawn from a large reservoir so that the velocity at A can be approximated as zero and the flow can be treated as steady. Water will be filled in 6.5min to 3m depth in the tank which has a diameter of 2m. (a) Find the flow rate Q; (b) Find the required power output from the pump, W₁ = pQgh, with h, being the pump head. Neglect all minor losses. The head loss eqn. is: P P V² P V2 τα +z+h τα -+z +h+h friction pg 2g pg 2g where h, = W/pQg,h₁ = W/ pQg are the pump head and turbine head, respectively, with W,,W, being the pump power and turbine power. h friction includes both major and minor losses. B 2 m 12 m

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 (15 points) A cast iron pipe having an inner diameter of 100mm, roughness 0.26mm and length 50m is used to fill the cylindrical tank with water, (p=1000kg/m³, u=0.001kg/(m·s)). The pressure at A and B are both atmospheric. Water is drawn from a large reservoir so that the velocity at A can be approximated as zero and the flow can be treated as steady. Water will be filled in 6.5min to 3m depth in the tank which has a diameter of 2m. (a) Find the flow rate Q; (b) Find the required power output from the pump, W₁ = pQgh, with h, being the pump head. Neglect all minor losses. The head loss eqn. is: P P V² P V2 τα +z+h τα -+z +h+h friction pg 2g pg 2g where h, = W/pQg,h₁ = W/ pQg are the pump head and turbine head, respectively, with W,,W, being the pump power and turbine power. h friction includes both major and minor losses. B 2 m 12 m
Transcribed Image Text:Problem 4 (15 points) A cast iron pipe having an inner diameter of 100mm, roughness 0.26mm and length 50m is used to fill the cylindrical tank with water, (p=1000kg/m³, u=0.001kg/(m·s)). The pressure at A and B are both atmospheric. Water is drawn from a large reservoir so that the velocity at A can be approximated as zero and the flow can be treated as steady. Water will be filled in 6.5min to 3m depth in the tank which has a diameter of 2m. (a) Find the flow rate Q; (b) Find the required power output from the pump, W₁ = pQgh, with h, being the pump head. Neglect all minor losses. The head loss eqn. is: P P V² P V2 τα +z+h τα -+z +h+h friction pg 2g pg 2g where h, = W/pQg,h₁ = W/ pQg are the pump head and turbine head, respectively, with W,,W, being the pump power and turbine power. h friction includes both major and minor losses. B 2 m 12 m
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