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The cross-sectional area of the aorta is $3 \mathrm{cm}^{2},$ and the averagevelocity of blood leaving the heart into the aorta is 30 $\mathrm{cm} / \mathrm{s}$ . Ifthe combined effective cross sectional area of the body's capillaries is $600 \mathrm{cm}^{2},$ what is the average flow rate in a capillary?$$\begin{array}{l}{\text { A. } 1 \mathrm{cm} / \mathrm{s}} \\ {\mathrm{B} .2 \mathrm{cm} / \mathrm{s}} \\ {\mathrm{C} \cdot 0.01 \mathrm{cm} / \mathrm{s}} \\ {\mathrm{D}, 0.15 \mathrm{cm} / \mathrm{s}} \\ {\mathrm{E} .0 .2 \mathrm{cm} / \mathrm{s}}\end{array}$$

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The answer is (D)

Physics 101 Mechanics

Chapter 13

Fluid Mechanics

Temperature and Heat

Cornell University

University of Washington

Hope College

University of Winnipeg

Lectures

03:45

In physics, a fluid is a substance that continually deforms (flows) under an applied shear stress. Fluids are a subset of the phases of matter and include liquids, gases, plasmas and, to some extent, plastic solids.

09:49

A fluid is a substance that continually deforms (flows) under an applied shear stress. Fluids are a subset of the phases of matter and include liquids, gases and plasmas. Fluids display properties such as flow, pressure, and tension, which can be described with a fluid model. For example, liquids form a surface which exerts a force on other objects in contact with it, and is the basis for the forces of capillarity and cohesion. Fluids are a continuum (or "continuous" in some sense) which means that they cannot be strictly separated into separate pieces. However, there are theoretical limits to the divisibility of fluids. Fluids are in contrast to solids, which are able to sustain a shear stress with no tendency to continue deforming.

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3. Blood flows in an aorta…

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The speed of blood in a ma…

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Blood flows through the ao…

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Because the flow speed in …

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(a) The volume flow rate i…

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(a) Calculate the mass flo…

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The average speed of blood…

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If the average volume flow…

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The average flow rate of b…

All right, So this is just, ah, application of continuity. We have that The flow in one portion is given by this where this is a and this is we and we were given that the average cross sectional area is 600 times since the negative for and so the average velocity has to be such that this the total floor A is equal to the flow rate. I should say the average Flory is equal to the floor e in a particular portion. Then simply solve this for V and we were using inconsistent units here. But it doesn't matter because they cancel out. So the area was measured in square meters. But thie, um, philosophy was measured in centimeters per second, but our square meters on cancel out on the numerator and denominator. So this will give us an answer in centimeters per second. And, um, if we solve this the 10 to the negative for his cancel outs, we have 90 over 600 which reduces to three over 20. And this matches answer dif

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