## Related questions with answers

Water is pumped through a pipe of diameter 15.0 cm from the Colorado River up to Grand Canyon Village, on the rim of the canyon. The river is at 564 m elevation and the village is at 2 096 m. What additional pressure is necessary to deliver this flow? Note: You may assume the free-fall acceleration and the density of air are constant over the given range of elevations.

Solution

VerifiedIn this problem, we use Bernoulli's equation. The summation of the kinetic energy per unit volume, the pressure and the potential energy of the fluid is constant when it flows through a streamline. Equations (9.17) shows Bernoulli's equation in the form

$\begin{equation} P_{1}+\frac{1}{2} \rho v_{1}^{2}+\rho g y_{1}=P_{2}+\frac{1}{2} \rho v_{2}^{2}+\rho g y_{2} \end{equation}$

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