Chapter 13, Problem 67A

To determine

Change in water pressure.

Answer to Problem 67A

The water pressure will decrease with an increase in speed of water due to Bernoulli’s principle.

Explanation of Solution

Introduction: As the speed of the fluid increases, the static pressure and the potential energy of the fluid decrease.

Bernoulli’s equation is given as: $\frac{\text{P}}{\text{ρ}}\text{+}\frac{\text{1}}{\text{2}}{\text{v}}^{\text{2}}\text{+gh=constant}$ , where

  $\text{P}$ is the pressure exerted by the liquid.

  $\text{v}$ is the velocity of the fluid

  $\text{ρ}$ is the density of the fluid

  $\text{h}$ is the height of the container.

When a stream of water goes through a garden hose into a nozzle and as the speed of water increases, the pressure will decrease due to Bernoulli’s principle.

Conclusion: Water pressure will decrease.