As blood passes through the capillary bed in an organ, the capillaries join to form venules (small veins). Assume the blood speed increases by a factor of 4.00 and the total cross-sectional area of the venules is 10.0cm2. How many capillaries are involved if their average diameter is 10.0μm?

Respuesta :

Answer:

[tex]N\approx50929580[/tex]

Explanation:

Given:

factor of increase of blood flow, f = 4

cross-sectional area of venules, [tex]a=10\,cm^2[/tex]

diameter of the capillaries involved in venule formation, [tex]d=10\times 10^{-3}\,cm[/tex]

Now, area of each capillary:

[tex]a_c=\pi \frac{(10\times 10^{-3})^2}{4}[/tex]

[tex]a_c=7.854\times 10^{-7}\,cm^2[/tex]

No. of capillaries that will combine to form the venule of given cross-section area:

[tex]N=\frac{a}{a_c}[/tex]

[tex]N=\frac{10}{7.854\times 10^{-7}}[/tex]

[tex]N\approx50929580[/tex]