Answer to Question #274743 in Astronomy | Astrophysics for Lisa

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

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