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Numerade Educator

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Problem 19 Easy Difficulty

Use Poiseuille's Law to calculate the rate of flow in a small human artery where we can take $ \eta = 0.027 $, $ R = 0.008 cm $, $ l = 2 cm $, $ P = 4000 dynes/cm^2 $.

Answer

Rate of flow is $1.19 \times 10^{-4} \mathrm{cm}^{3} / \mathrm{s}$

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Video Transcript

All right, So this question says, Use Jose's law to evaluate the flow rate of blood and human artery and it gives us this information and I have put Ouaziz law right there. So here we have Q. It's going to be able to pie times 4000 and then times our radius to the fourth power divided by eight times Europe 0.27 times are length, which is to And so now you have high and then converting things into scientific notation. We'll make it a bit easier from here on. So four times 10 to the third, 4.96 times 10 to the minus nine divided by 16 times 0.27 So here we have to the most significant amount digits. We have 1.6 pie times 10 to the minus five Divide by 4.32 times 10 to the minus one, and that right there is going to be 1.19 times 10 to the minus four and then our flow rate, then centimeters cubed per second. And that right there is the answer