L The Poiseuille's law for flow through a cylindrical pipe (blood vessel) is: K =(R²-2²), 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 =(R²-2²), 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?
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.CR: Review Exercises
Problem 14CR: a For the through in the shape of half-cylinder, find the volume of water it will hold Use 3.14 and...
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Transcribed Image Text:L
The Poiseuille's law for flow through a cylindrical pipe (blood vessel) is:
K
=(R²-2²), 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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