(a) Verify that a 19.0% decrease in laminar flow through atube is caused by a 5.00% decrease in radius, assuming thatall other factors remain constant, as stated in the text. (b)What increase in flow is obtained from a 5.00% increase inradius, again assuming all other factors remain constant?
(a) Verify that a 19.0% decrease in laminar flow through atube is caused by a 5.00% decrease in radius, assuming thatall other factors remain constant, as stated in the text. (b)What increase in flow is obtained from a 5.00% increase inradius, again assuming all other factors remain constant?
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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Question
(a) Verify that a 19.0% decrease in laminar flow through a
tube is caused by a 5.00% decrease in radius, assuming that
all other factors remain constant, as stated in the text. (b)
What increase in flow is obtained from a 5.00% increase in
radius, again assuming all other factors remain constant?
Expert Solution
Answer for part (a)
The volume flow rate is directly proportional to the fourth power of radius. So,
Since the decrease in laminar flow is caused by 5% decrease in radius,
Answer for part (a) continues
Substituting equation (II) in equation (I) and solving gives the increase in flow rate as
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