contestada

If the radius of a blood vessel drops to 80.0% of its original radius because of the buildup of plaque, and the body responds by increasing the pressure difference across the blood vessel by 10.0%, what will have happened to the flow rate? The flow rate will have changed to _______ % of its original value.

Respuesta :

Answer:

40.96%

Solution:

As per the question:

If the original radius be 'r' and the initial pressure difference be 'P':

After the drop, radius:

r' = 0.8r

After rise in pressure:

P' = 0.1 P

Now,

Rate of flow is given by:

R ∝ [tex]r^{4}P[/tex]

Thus

[tex]\frac{R'}{R} = (\frac{0.8r}{r})^{4}\frac{0.1P}{P}[/tex]

R' = 40.96%