(a)
The pressure difference of the blood flows through an artery.
(a)
Answer to Problem 67P
The pressure difference of the blood flows through an artery is
Explanation of Solution
Write the equation for volume flow rate.
Here,
Write the equation from poiseuille’s law for viscous flow.
Here,
Compare the equation (I) and (II).
Solve the above equation for
Replace
Conclusion:
Substitute
Therefore, the pressure difference of the blood flows through an artery is
(b)
Find the pressure difference of the blood flows through a capillary.
(b)
Answer to Problem 67P
The pressure difference of the blood flows through a capillary is
Explanation of Solution
Write the relation between pressure difference from the equation (III).
Here,
Conclusion:
Substitute
Therefore, the pressure difference of the blood flows through an capillary is
(c)
Compare the average blood pressure in 100torr.
(c)
Answer to Problem 67P
The average blood pressure in 100torr is
Explanation of Solution
The average blood pressure of the human being is about 100torr.
Compare the answers in part (a) and (b) to average blood pressure.
Thus, the 100torr is approximately
Hence the pressure change in part (b) is more than 20 times greater than the pressure change in (a). The great arteries and wide veins present little resistance to blood flow compared to capillaries.
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