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L The Poiseuille's law for flow through a cylindrical pipe (blood vessel) is: K =✗(R² - 12), where v is the velocity, K is a constant equal to 6 1/s, L is the length of the pipe, R is the radius of the pipe and r is the distance out from the center line of the pipe. For a 100-cm pipe of radius 0.2 cm, find the rate that the flow velocity is changing half-way between the center line and the wall when the pipe is contracting at a rate of 0.0004 cm/s?

L The Poiseuille's law for flow through a cylindrical pipe (blood vessel) is: K =✗(R² - 12), where v is the velocity, K is a constant equal to 6 1/s, L is the length of the pipe, R is the radius of the pipe and r is the distance out from the center line of the pipe. For a 100-cm pipe of radius 0.2 cm, find the rate that the flow velocity is changing half-way between the center line and the wall when the pipe is contracting at a rate of 0.0004 cm/s?

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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L The Poiseuille's law for flow through a cylindrical pipe (blood vessel) is: K =✗(R² - 12), where v is the velocity, K is a constant equal to 6 1/s, L is the length of the pipe, R is the radius of the pipe and r is the distance out from the center line of the pipe. For a 100-cm pipe of radius 0.2 cm, find the rate that the flow velocity is changing half-way between the center line and the wall when the pipe is contracting at a rate of 0.0004 cm/s?
Transcribed Image Text:L The Poiseuille's law for flow through a cylindrical pipe (blood vessel) is: K =✗(R² - 12), where v is the velocity, K is a constant equal to 6 1/s, L is the length of the pipe, R is the radius of the pipe and r is the distance out from the center line of the pipe. For a 100-cm pipe of radius 0.2 cm, find the rate that the flow velocity is changing half-way between the center line and the wall when the pipe is contracting at a rate of 0.0004 cm/s?
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