College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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You’re a consultant for maple syrup producers. They tap maple trees and
collect sap with plastic tubing that connects to a common pipe delivering the sap to an
evaporator. There it’s boiled to produce thick, tasty syrup. The system can be modeled as
a pipe with one end, of cross-sectional area A, exposed to atmospheric pressure. The pipe
drops through a vertical distance h1 while its area decreases to A/2, as shown in the
figure. A small vertical glass tube extends from the lower portion as shown and is open to
atmospheric pressure. You’re asked to provide a formula for the volume flow rate of the
sap as a function of the height h2 of the sap in the tube. Express your answer in terms of
known quantities.

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