The aorta carries blood away from the heart and eventually branches into a large number of capillaries that distribute the blood to various body organs. If for an average person, the aorta has a radius of 1.2 cm and blood travels through it at a speed of 42 cm/s and the capillaries have an average radius of 5.0 10-4 cm and blood travels through them at a speed of 0.005 cm/s, determine the approximate number of capillaries in the human body.

Answers

Answer 1

Answer:

There are approximately 5 × 10¹⁰ capillaries in the human body

Explanation:

The motion of a fluid is such that the mass of the fluid flowing remains constant. This is known as the principle of conservation of mass in liquid flow.

The mass flow rate is the mass that passes a given point per unit time. According to the principle of conservation of mass, the flow rates at any two points must be equal, as long as no fluid is being added or taken away.

The principle gives rise tonthe continuity equation which is given below:

ρ₁A₁v₁ = ρ₂A₂v₂

Where ρ is density of fluid, A is internal area of the vessel or pipe the fluid is flowing through, v is velocity of the fluid

Since the density of blood is constant, the continuity equation above reduces to:

A₁v₁ = nA₂v₂

where A₁ is the area of the aorta, v₁ is velocity of bloodmin the aorta, n is number of capillaries, A₂ area of capillary, v₂ is velocity of blood in the capillary.

n = A₁v₁/A₂v₂

n = πr₁² × v₁ / πr₂² × v₂ where r₁ is radius of aorta and r₂ is radius of capillaries

n = (22/7 × 1.2² × 42) / (22/7 × 0.0005² × 0.005)

n = 4.8384 × 10¹⁰capillaries

Therefore, there are approximately 5 × 10¹⁰ capillaries in the human body


Related Questions

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Answers

I’m pretty sure it’s dendrites
:)

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B
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C
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D
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Answers

Answer:

B: a population’s age-sex structure

Explanation:

A population pyramid is a way to visualize two variables: age and sex.  

They are used by demographers, who study populations. A population pyramid is a graph that shows the distribution of ages across a population divided down the center between male and female members of the population. Expansive pyramids mean that the population does not increase much in total number and has many young people.

Hope this helps! Info from National Geographic, I would trust it if I were you!

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Answer:

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Explanation:

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Explanation:

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Answer:

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Match the statement with the correct term from the list.
Any ____________ is a blank that you are filling with a choice from the list. Choices may be used once, more than once or not at all.
1. Enzyme which transcribes DNA ______________
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3. Specific sub cellular structure completes translation _____________
4. Product of transcription ___________
5. Transportation of amino acids _____________
6. Product of translation ____________
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Answers

Answer:

Explanation:

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Answer:

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Explanation:

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Answers

Answer:

Inner core, the outer core, the mantle, and the crust.

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Answers

I think the answer should be B. Horse

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Answers

Answer:

Science is a process that involves proof and error. Scientific hypotheses are used to find evidence supporting scientific statements, but new evidence can be used to reject previously accepted ones in order to get closer to the truth.

Explanation:

Scientific inquiries refer to the processes by which scientists study phenomena of the natural world and propose alternative explanations (hypotheses) useful for understanding such mechanisms. When hypotheses are supported by many evidence and studies from different sources, scientific theories associated with these hypotheses become accepted by the scientific community. In science, a scientific statement may become falsifiable when it is contradicted by new lines of evidence and/or new observations.

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Answer:

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Explanation:

Answer:

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Answer:

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Answer:

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Answers

Answer:

Element

Explanation:

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The gastrointestinal tract is absent in

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Answer:

Answer

Explanation:

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34:58
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Answer:

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Answer:

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Explanation:

Ernest was looking at the following diagram of a cell. Which statement best explains how he should classify the cell?

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Answers

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Explanation:

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Answers

Answer:

Kilowatt-hour

Explanation:

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Answers

Answer:

Loss of the structural framework of the brain.

Explanation:

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Increased risk of seizures. Seizures are caused by abnormal electrical activity in the brain. When the myelin sheaths around axons are damaged, it can increase the risk of seizures.

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#SPJ6

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Answers

Answer:

Explanation:

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PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

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A. dullness
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Answers

Answer:

D.

Explanation:

Luster means a gentle sheen or soft glow, especially that of a partly reflective surface. The sentence says "a shiny luster," and diamonds are shiny and reflective, so it is most likely D.

hope this helps! :)

Pls mark brainliest!
i believe it’s is D.) shining by a reflective light

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Answers

For your answer it will be 3

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Answers

Answer:

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Answers

Answer: mouth- D, liver- A, salivary glands- B, Stomach- C, Large intestine- E, Intestinal villi-F, Mechanical digestion- G, Small Intestine- H, Gallbladder- I. brainliest?

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Answers

The organism that obtains energy without directly depending on another organism is a PLANT.

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