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

Describe passive and active freezing protections that could be set in place for an orchard of apples being grown in New York State and explain why they might be effective.
3 SENTENCES AT THE LEAST

Answers

Answer:

A good answer could include planting the trees on the north-facing flank of a hill (passive) and providing overhead irrigation to allow the grower to give plants an ice coating (active). Apples grown in New York face their strongest threat during bloom-time. North-facing plantings partway up a hillside delays bloom-time to later in spring, reducing the odds of the plants experiencing a hard frost. Irrigation allows the grower to take advantage of the severe overall cold that can be associated with a freeze in upstate New York by using the cold to create a protective ice layer that can preserve the blossoms.

Explanation:

this is the example answer. do what you will w it

The passive and active freezing protections can be done by planting facing north hill and providing overhead irrigation respectively.

What is Protection?

This is the process of guarding something against damage from an external force.

The passive and active freezing protections are effective as it minimizes the risk of freezes and frosts during spring blooms.

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Search using the internet on how you can expand or enhance one's knowledge of animal/fish raising.​

Answers

Answer:

Fish farming involves raising a variety of aquatic animals, such as fish, mollusks and shrimps in an enclosure such as a tank or pond. With the surge in demand for healthy animal protein the  demand for fish and fish products is on the rise. Fish farms have the potential to produce fish for home consumption at about $0.90/lb which is a considerable saving when compared to supermarket prices of over $2.00/lb.

The first step for fish farming is to determine what you are going to do with your full-grown fish. You need to know the purpose, whether you are going to keep fish as a pet or for fish meat. This will decide a lot of things like the space requirements, equipment and capital requirements. If you intend to keep fish as a pet for showcase then a small tank or a backyard small fish farm is sufficient. If you intend to put a small fish farm with one or two ponds then also with a little business mindset you can market 1000 to 2000 lb of fish.  

This will also require you to set up a business entity and have a business mindset.The costs associated with raising different types of fish varies because different fish need certain temperature water to live. The type of fish also decides the requirement of equipment and the feed cost. There are lots of laws about raising fish and animals, and even more, stringent laws related to raising animals that are going to be consumed as food.

Before starting fish farms or fish hatchery of any size or type it is advisable to check local laws and the need of permits  to do so in your area.Normally you will get a license to operate your fish farm for a year which will be renewable. You need to submit the following documents to apply for the license:

Filled in application form

Sketch or aerial map of the facility layout, including dimensions

Copy of fish health certificate

Copy of stocking permit

Letter of a written permission from the landowner (in case if you are not the landowner)

Explanation

(I truly apologize if this answer is too long)

Is a forest area that has been washed away by a flood a primary or secondary area of succession?

Answers

Answer:

I'm pretty sure it's secondary

Explanation:

Secondary succession is a major disturbance such as a fire or a flood


I don’t understand it

Answers

So I believe these are the questions to go with the statement based on the info given to make a question (hypothesis) , I believe it’s “A” because based on the statement it give details about the one of them being able to drink water that contains fluoride salts and the other doesn’t drink water with fluoride salt . And we don’t know where they live , or even who drinks the fluoride salts or no so “A” is a appropriate question to give . And the numerical data part can also include the people who lives in their neighborhoods .

Hope this helps☺️

What structures make up the male and female reproductive systems?

Answers

Answer: The male gonads are the testes. Their location within the scrotum is necessary for the production of viable sperm. The female reproductive system includes the ovaries, uterine tubes, uterus, vagina, accessory glands, and external genital organs. brainliest

Explanation:

Protein phosphatase 1 (PP1) catalyzes a reaction which yields products that regulate cell division; consequently, PP1 is a possible drug target to treat certain types of cancers. The PP1 enzyme cata- lyzes the hydrolysis of a phosphate group from myelin basic protein (MBP). The reaction is shown below:
PP1 MBP-phosphate-→ MBP+P,
The activity of PP1 was measured in the presence and absence of the inhibitor phosphatidic acid (PA). The concentration of PA was 300 nM. vo without PA vo with PA released . (mg/mL) mL"1 . min1) mL-1 . min-1) 0.00381 0.00620 0.00931 0.0140 0.010 0.0209 0.0335 0.0419 0.0838 0.015 0.025 0.050
(a) Use the data provided to construct a Lineweaver-Burk plot for the PP1 enzyme in the presence and absence of PA. What kind of inhibitor is PA?
(b) Report the KM and Vmax values for PP1 in the presence and absence of the inhibitor.

Answers

Answer:

Explanation:8iikk

What are the two factors that determine the boundaries of a biome?

altitude

temperature

precipitation

latitude

Answers

Answer:

A. altitude

and

D. latitude

Explanation:

hope this helps! :D

The two factors that determine the boundaries of a biome are temperature and precipitation, which are the second and third options, as they help to shape the unique features of each biome.

What is the significance of the precipitation and temperature?

Temperature plays a key role in determining the type of vegetation, such as in colder regions where low temperatures limit the types of plants that can grow, while in warmer regions the growth of tropical rainforests is seen. Precipitation plays an important role too, as in areas with high levels of precipitation, such as tropical rainforests, dense vegetation is seen, and in dry regions with low levels of precipitation, deserts are seen.

Hence, the two factors that determine the boundaries of a biome are temperature and precipitation, which are the second and third options, as they help to shape the unique features of each biome.

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state how the protein and energy requirements of the following will differ from those of a 16 year old female who does not take much exercise (1) An elderly person (2) a 2 year old child (3) a pregnant women (4) a male athlete​

Answers

Answer:

Elderly people need a lot of protein but less energy and a pregnant woman need both nutrition enough to cell function and tissue formation of the embryo and more equal does the the 2 year old baby need both the nutrition.

3. When the mRNA is translated, the order of its codons determines the order of amino acids in the resulting polypeptide O a. True O b. False​

Answers

Answer:

True

Explanation:

 Which would be worse a change in DNA or a change in mRNA & why

Answers

Answer:

i think its DNA

Explanation:

im not sure

Which of the following is not correct about diffraction?

Answers

Answer:

Diffraction occurs just with electromagnetic waves.

Explanation:

The information that should not be true about diffraction is that it arise with the electromagnetic waves only.

What is diffraction?

It is considered as the process where the beam of light or the other system waves should be spread out that leads of passing via the narrow aperture or it should be an across of an edge that should be accompanied by interfering between the formation of the waves that should be generated.

So the above information should be considered.

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How does the atmosphere help to make Earth livable? Check all that apply.

causes the seasons
contains oxygen
provides warmth
creates important nutrients
blocks harmful energy from the Sun

Answers

Answer:

- contains oxygen

- provides warmth

- blocks harmful energy from the Sun

Explanation:

this is the answer hope this helps (^_^)

Answer:

the one above me is right

Explanation:

Suppose an explorer discovered a unique new species of plant and collected a sample for analysis by a geneticist. The geneticist then isolated chromatin from the plant sample and examined the chromatin using electron microscopy. The chromatin observed was organized in a way that is similar to beads on a string A small amount of nuclease was then added, which was observed to cleave the string into individual beads that each contained 280 bp of DNA.
Histone H1 H2A H2B H3 H4 H7 (new histone)
Percentage 12.5% 25% 25% 0% 26%
After thorough digestion with more nuclease, only a 120 bp fragment of DNA remained attached to a core of histone eins. Analysis of the histone core revealed the data dicated in the table to the right.
Using the data provided, determine the conclusions that the geneticist could make about the likely structure of the nucleosome in the chromatin of this new plant species
A. The nucleosome core contains a heterodimer of the histones H7 and H1
B. The nucleosome core contains two each of histones H2A, H2B, and H4
C. The nucleosome core contains a homodimer of the histones H2A, H2B, and H4
D. The nucleosome core contains one each of histones H1 and H7
E. The nucleosome core histone H7 replaces the standard histone H3

Answers

my brain can't process this lol

Introduction : Scientists who study earth's layers are called geologists. Since they cannot see inside the earth, they use geological clues to help them. These clues are gathered from activities such as volcanoes and earthquakes. From these clues , geologists make inferences about what the inside of Earth actually looks like.
Question: Name the main layers of the Earth from the inside to the surface.

Answers

Answer:

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

Help me please!!!!!!!!!!!!!!!!!

Answers

Explanation:

B one is the correct answer

Answer:

I think it's X

Explanation:

Mark all that apply. What evidence is used to classify living things into groups.

A) cell type

B) habitat

C) how organism obtains food and energy

D) common ancestry

E) DNA

Answers

Answer:

D.

Explanation:

Taxonomy is a branch of biology centered around classifying animals into living groups. This is done based on the differences and similarities between animals. Taxa in the Linnaean system include kingdom, phylum, class, order, family, genus, and species. Between these relations it all stems from common ancestry. Which is what can relate species to others. Hope this helps!!

Answer:

your answer would be D

Explanation:

cause I big brain

Cellular respiration and photosynthesis are similar in that both require
O A. glucose
B. membrane proteins
C. oxygen
O D. carbon dioxide
UBMIT
12

Answers

Answer:

If you can choose 2 your answers would be A.Glucose and C.Oxygen but if not try Oxygen.

a heavily populated town with a housing shortage is located near one large river the water in the river is not heavily polluted the people grow food on fertile farms near the river there is no access to vaccinations in the area and the death rate from certain diseases is very high based on this the most immediate solution

Answers

Answer:

Answer: access to medical supplies

Explanation:

Answer:

access to medical supplies

Explanation:

T Lymphocytes can bind proteins in their native form.

True or false

Answers

I think it’s True cus yeah
Answer:
True

Explanation

critically discuss the transport mechanisms across the membrane​

Answers

Diffusion, osmosis and active transport.

Explanation:

. Diffusion is the movement of substances from a region of high concentration to a region of low concentration across the membrane.

.Osmosis is the movement of water molecules from a hypotonic solution to a hypertonic solution across the membrane.

.Active transport is the movement of substances from a region of low concentration to a region of high concentration across the membrane with the utilization of energy.

14. Kidneys are filters. As blood passes through the kidney, waste in the form of urine is
left behind. Tubes take the urine from the kidney to a storage bag called the bladder.
What can you conclude about blood leaving the kidney?
A. It moves to the bladder.
B. It has no water left in it.
C. It is ready to be used by the body.
D. It needs to have urine added to it

Answers

Answer:

D. It needs to have urine in it

Explanation:

They are located just below the rib cage, one on each side of your spine. Healthy kidneys filter about a half cup of blood every minute, removing wastes and extra water to make urine. The urine flows from the kidneys to the bladder through two thin tubes of muscle called ureters, one on each side of your bladder. The fluid that is filtered out from the blood then travels down a tiny tube-like structure called a tubule. The tubule adjusts the level of salts, water, and wastes that will leave the body in the urine. Filtered blood leaves the kidney through the renal vein and flows back to the heart.

Help me please!!!!!!!!!!!!!!!!!?

Answers

Answer:

points .,.

thx .,. Explanation:

Which of the following statements is true?
Earth's atmosphere helps it maintain a constant temperature.
Condensation is the process by which water changes from a liquid into a gas.
Plants do not perform respiration.
Animals add water to the atmosphere through photosynthesis.

Answers

Earth's atmosphere helps maintain a constant temperature.

Answer:

hello there your answer is A:Earth's atmosphere helps it maintain a constant temperature.

Explanation:

please mark other guy as brainllest.

have a nice day

[o]-[o]

\___/

Question 3 If you had more time or better resources, how could you improve your model to eliminate some of these weaknesses?​

Answers

Explanation:

I tried to answer but I dont know what you mean im sorry

Which of the following is the best explanation of the physiological reaction to the length of daylight hours often referred to as photoperiodism? Group of answer choices Plants will only flower during long day periods when the day length exceeds their necessary photoperiod. Plants are able to respond to photoperiodism, but animals are not. Migration is triggered by temperature change and not by photoperiodism. Hibernation is often triggered by photoperiodism.

Answers

Answer:

A. Plants will only flower during long day periods when the day length exceeds their necessary photoperiod

Explanation:

Photoperiodism is a phenomenon that refers to the response of an organism to the length of day. This phenomenon causes a physiological change in the organisms involved (plants or animals). However, the best studied example of change caused by photoperiodism is that of FLOWERING IN PLANTS.

Different plants flower at different times in response to the day length. Certain plants called LONG DAY PLANTS e.g. spinach and potato etc only flower when the length of day exceeds their photoperiod (threshold), which is usually 12 hours. These plants require very short periods of darkness to flower.

Hence, according to the question, FLOWERING response in plants is the best explanation to describe photoperiodism.

what happens to a animal cell placed in a hypotonic solution​

Answers

Answer:

If you place an animal or a plant cell in a hypertonic solution, the cell shrinks, because it loses water ( water moves from a higher concentration inside the cell to a lower concentration outside ). ... A single animal cell ( like a red blood cell) placed in a hypotonic solution will fill up with water and then burst.

Explanation:

Hypotonic solution is a solution which, contains lesser solute concentration. If animal and plant cells are kept in a hypotonic solution then endosmosis will occur. Endosmosis is a process in which the water molecules move from outside of the cell of lower solute concentration to the inside of the cell of higher solute concentration through the cell membrane or cell wall. Due to endosmosis, both animal and plant cells will swell.

Which type of stem supports giant trees?
A. herbaceous
B. gummy
C. woody
D. leafy

Answers

i’m pretty sure the answer to this is woody. hope this helps!

The type of stem that supports giant trees is woody, which is option C. Woody stems are the type of stems that support giant trees, so the correct option is option c.

Woody stems are characterized by their hardness and rigidity, which are due to the presence of wood tissue. This wood tissue provides structural support and allows the stem to grow thicker and stronger over time. Giant trees, such as oak, maple, pine, and redwood trees, have woody stems that enable them to reach great heights and support their extensive branching systems. Herbaceous stems, on the other hand, are softer and more flexible. So the correct option is option C.

Learn more about the woody stem here.

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what is the name of the substance that facilitates the action of lipase​

Answers

Answer:

The Pancreatic Lipase.

Explanation:

I am not completely sure, its been a while. I really hope this helps

Answer:

the pancreatic lipase

Explanation:

Which type of plant lives the longest?
a.annual
b.biennial
c.perennial
d.none of the above

Answers

Answer:

c. perennial

Explanation:

A silver maple oak tree is an example of a perennial as it can live hundreds of years

You want to determine if the source of fecal contamination is from dairy cows or wild deer. Which antibiotic would give you the most clear results and why

Answers

Answer:

Piperacillin and tazobactam, imipenem and cilastatin, or meropenem may be used.

Explanation:

Antibiotics such as piperacillin and tazobactam, imipenem and cilastatin, or meropenem can be used for the treatment of Fecal coliform bacteria that causes fecal contamination. There are some other methods also used to avoid Fecal contamination i.e. boiling of water, treating water with chlorine, or UV disinfection are the methods that are used to reduce Fecal coliform bacterial infection.

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