In order to take a nice relaxing bath after this final, you fill up a bathtub with warm water. To fill the tub, water travels at 9 m/s in a pipe under your house. The faucet (where the water exits into the tub) in your house has a diameter twice that of the pipe under your house. The water pressure in the pipe/faucet is the same everywhere. (a) What is the height of your faucet, relative to the pipe under your house? (b) Let's do some special cases sensemaking! If the diameter of the faucet were the same as the diameter of the pipe under your house and the pressure was the same everywhere, what would the height differ ence need to be? explain.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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In order to take a nice relaxing bath after this final, you fill up a bathtub with warm water. To fill the

tub, water travels at 9 m/s in a pipe under your house. The faucet (where the water exits into the tub) in your

house has a diameter twice that of the pipe under your house. The water pressure in the pipe/faucet is the

same everywhere.

(a) What is the height of your faucet, relative to the pipe under your house?

(b) Let's do some special cases sensemaking! If the diameter of the faucet were the same as the diameter of

the pipe under your house and the pressure was the same everywhere, what would the height differ

ence need to be? explain.

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