Speed of Blood in Arteriole and Capillaries

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The speed of blood in an arteriole with a diameter of 0.029 mm and a flow rate of 6.2 x 10^-6 cm^3/s can be calculated using the formula for flow rate and cross-sectional area. The cross-sectional area of the arteriole is determined to be 6.6 x 10^-6 m^2. When the arteriole branches into 340 capillaries, each with a diameter of 4.0 x 10^-6 m, the total cross-sectional area of the capillaries is significantly larger, promoting a lower speed of blood flow. This reduced speed in capillaries facilitates the diffusion of materials, which is essential for nutrient and gas exchange. Understanding these dynamics is crucial for comprehending circulatory physiology.
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(a) An arteriole has a diameter of 0.029 mm and carries blood at the rate of 6.2 10-6 cm^3/s.
What is the speed of the blood in the arteriole?

(b) Suppose the arteriole branches into 340 capillaries, each with a diameter of 4.0 10-6 m. What is the blood speed in the capillaries? (The low speed in capillaries promotes the diffusion of materials to and from the blood.)
 
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What, exactly, have you tried so far?
 
a) What is the cross-section area of the arteriole?


b) What is the total cross-section area of the capillaries?
 

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