According to Poiseuille's laws, the velocity V of blood is given by V=k (R²-2) where R is the radius of the blood vessel, r is the distance of a layer of blood flow from the center of the vessel, and k is a constant. A patient takes blood vessel dilation medication so that her blood velocity is modeled by Poiseuille's law with k=479.2. Find the rate of change of the blood velocity when R = 0.08 mm and R is changing at 0.008 mm per minute. Assume r is constant.

According to Poiseuille's laws, the velocity V of blood is given by V=k (R²-2) where R is the radius of the blood vessel, r is the distance of a layer of blood flow from the center of the vessel, and k is a constant. A patient takes blood vessel dilation medication so that her blood velocity is modeled by Poiseuille's law with k=479.2. Find the rate of change of the blood velocity when R = 0.08 mm and R is changing at 0.008 mm per minute. Assume r is 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

K
According to Poiseuille's laws, the velocity V of blood is given by V=k(R²-2) where R is the
radius of the blood vessel, r is the distance of a layer of blood flow from the center of the vessel, and
k is a constant.
A patient takes blood vessel dilation medication so that her blood velocity is modeled by Poiseuille's
law with k = 479.2. Find the rate of change of the blood velocity when R = 0.08 mm and R is
changing at 0.008 mm per minute. Assume r is constant.
...
The blood velocity is increasing at mm per minute each minute.
(Round to the nearest thousandth as needed.)

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