Poiseuille\'s Law for Blood flow states that the volume flowing through an arter
ID: 1946235 • Letter: P
Question
Poiseuille's Law for Blood flow states that the volume flowing through an artery is proportional to the fourth power of the radius, that is, V=k*r^4 for some positive constant k.a.) Calculate the differential dV from this equation.
b.) Use the differential to estimate the (absolute) increase in the volume of blood flow if the radius changes from .12 cm to .15 cm. Assume that the units are cubic centimeters per minute.
c.) Use the differential to estimate the (relative) percentage by which the raduis must be increased in order to cause a 50% increase in the volume of blood flow.
Explanation / Answer
dV/dr = 4*k*r^3