Water is pumped up from the Colorado River to supplyGrand Canyon Village, located on the

Chapter 14, Problem 47

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Water is pumped up from the Colorado River to supplyGrand Canyon Village, located on the rim of thecanyon. The river is at an elevation of 564 m, and thevillage is at an elevation of 2 096 m. Imagine thatthe water is pumped through a single long pipe 15.0 cmin diameter, driven by a single pump at the bottomend. (a) What is the minimum pressure at which the water must be pumped if it is to arrive at the village?(b) If 4 500 m3 of water is pumped per day, what isthe speed of the water in the pipe? Note: Assume thefree-fall acceleration and the density of air are constantover this range of elevations. The pressures youcalculate are too high for an ordinary pipe. The wateris actually lifted in stages by several pumps throughshorter pipes.

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