Water is pumped through a pipe of diameter 18.0 cm from the Colorado River up to

Question

Water is pumped through a pipe of diameter 18.0 cm from the Colorado River up to a village on the rim of the canyon. The river is at 564 m elevation and the village is at 1969 m.
(a) At what minimum pressure must the water be pumped to arrive at the village?
MPa

(b) If 3600 m3 are pumped per day, what is the speed of the water in the pipe?
m/s

(c) What additional pressure is necessary to deliver this flow? [Note: You may assume that the free-fall acceleration and the density of air are constant over the given range of elevations.]
kPa


please help!
thank you

Explanation / Answer

a)using bernaulli theorem

P+ rho g (564) =rho g 2369

p=17689 MPa

b)3600 =speed *time

 

speed=3600/24*60*60 =1/34 

 

c)addtional pressure= 1/2 rho v^2=0.868 pa

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