Water is pumped through a pipe of diameter 17.0 cm from the Colorado River up to

Question

Water is pumped through a pipe of diameter 17.0 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 2174 m.
(a) At what minimum pressure must the water be pumped to arrive at the village? (Mpa)
(b) If 4600 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)

Explanation / Answer

a) pressure = 1000*9.8*(2174-564) = 15.8 Mpa b) speed = 4600/(pi*.17^2/4*24*3600) =2.35m/s

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