(Solved by Humans)-A pipe of diameter 1 m is at the top of a 20 m tall hill. Water

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Academic Level: Undergrad. (yrs 3-4)

Paper Format: APA

Pages: 5 Words: 1375

Question

A pipe of diameter 1 m is at the top of a 20 m tall hill. Water flows through the pipe with a velocity of v = 5 m/s for a distance of 10 m before the pipe constricts to a radius of .5 m. The water then flows for another 8 m before the pipe bends downwards and travels to the ground. Find the fluid velocity at the ground level. What is the pressure difference between the lower and upper parts of the pipe?


From the volume flow rate formula:

v is velocity of fluid in pipe
A is cross section area of pipe
As volume flow rate is constant:
A1v1=A2v2
v2=A1v1 / A2 ----------1
Area
r1= d/2 ; r2= (d/2)/4 =...

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