Respuesta :
Answer:Increases
Explanation:
Given
Blood Flow increases to 10 times
blood viscosity decreases to 95 %
Blood Pressure difference has increased to 50 %
According hagen-poiseuille Equation
Pressure Drop is given by
[tex]\Delta P=\frac{128}{\pi }\times \frac{\mu L}{D^4}\times Q[/tex]
where [tex]\mu [/tex]=viscosity
D=diameter of vessel
L=length of vessel
Q=Flow
[tex]\Delta P'=1.5\Delta P[/tex]
[tex]Q'=10 Q[/tex]
[tex]\mu '=0.95 \mu [/tex]
For initial condition
[tex]\Delta P=\frac{128}{\pi }\times \frac{\mu L}{D}\times Q[/tex] --------1
During Marathon
[tex]\Delta P'=1.5\Delta P=\frac{128}{\pi }\times \frac{0.95\mu L}{D'^4}\times 10 Q[/tex] ---------2
Divide 1 and 2
[tex]\frac{1.5\Delta P}{\Delta P}=\frac{\frac{128}{\pi }\times \frac{0.95\mu L}{D'^4}\times 10 Q}{\frac{128}{\pi }\times \frac{\mu L}{D}\times Q}[/tex]
[tex]\frac{1.5}{1}=\frac{0.95\times 10}{1}\times (\frac{D}{D'})^4[/tex]
[tex](\frac{D'}{D})^4=\frac{9.5}{1.5}[/tex]
[tex]\frac{D'}{D}=1.586[/tex]
[tex]D'=1.586 D[/tex]
therefore
[tex]r'=1.586 r[/tex]
therefore radius of capillaries increases during Marathon
