Answer to Question #279060 in Astronomy | Astrophysics for Gingging

Question

You own a restaurant that is investigating new ways to deliver beverages to customers. One

proposal is for a tube that will deliver root beer of density 1,090 kg/ m3

throughout the

restaurant. A section of the tube is shown below. The blueprints say that the speed and gauge

pressure of the root beer at point 1 are 3.00 m/s and 12,300 Pa respectively. The root beer at

point 2 is 1.20 m higher than the fluid at point 1 and is traveling at a speed of 0.750 m/s. You

can't make out the number on the blueprints for the pressure of the root beer at point 2. Use

Bernoulli's equation to figure out the gauge pressure of the root beer at point 2.

Answer 1

$p_2=p_1+\rho g\Delta h-\frac{\rho}2(v_1^2-v_2^2)=5100~Pa.$