The aorta has an inside diameter of approximately 2.28 cm, compared to that of a

Question

The aorta has an inside diameter of approximately 2.28 cm, compared to that of a capillary, which is about 1.03E-5 m (1.03E+1 m). In addition, the average speed of flow is approximately 1.16 m/s in the aorta and 1.15 cm/s in a capillary. Assuming that all the blood that flows through the aorta also flows through the capillaries, how many capillaries does the circulatory system have?

I used A1V1=A2V2 and with that (and some division), I get 1.97x109 capillaries. However that is not the answer. Any ideas?

Explanation / Answer

hi, this is a same question with just different numericals . I am posting both question and answer. Please rate me Lifesaver !!!! The approximate inside diameter of the aorta is 0.53 cm; that of a capillary is 10 µm. The approximate average blood flow speed is 1.0 m/s in the aorta and 1.0 cm/s in the capillaries. If all the blood in the aorta eventually flows through the capillaries, estimate the number of capillaries in the circulatory system. ______capillaries The volume of the blood that moves through the capillaries must equal the volume of the blood that moves through the aorta for the same time period. The blood through the aorta = Va = pi (.53/2)^2 * 1 m/s The blood through a single capillary = Vc = pi(10*10^-6 /2)^2 * 1*10^-2 m/s Va = n Vc n = Va / Vc Va = 0.220618344 Vc = 7.85398E-13 n = Va / Vc = 2.809E+11

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