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

In plant and animal adaptations, form follows function. True or false?

Answers

Answer:

FALSE

Explanation:

In plant and animal adaptations, form follows function. it is true because all forms of organisms give adaptive advantages.

Adaptation

Living beings tend to have adaptations according to the environment in which they live. Plants in hot and dry climates generally have their leaves reduced, or even modified into thorns, as a way of reducing the contact surface and thus avoiding transpiration.

Whit this information, we can conclude that in plant and animal adaptations, form follows function. it is true because all forms of organisms give adaptive advantages.

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What enzyme deficiency in RBC leads to hemolytic anemia due to oxidative stress? ​

Answers

In some cases, massive destruction of red blood cells caused death. This drug-induced hemolytic anemia was shown 30 years later to be caused by a deficiency of glucose 6-phosphate dehydrogenase, the enzyme catalyzing the first step in the oxidative branch of the pentose phosphate pathway.

in short terms, glucose 6-phosphate dehydrogenase

Briefly explain the nature of scientific inquiry. Include discussion of the role that evidence and falsifiability play in the process. Is this a strength or a weakness of the scientific mode of
thinking?

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.

List 3 inputs (things entering) for the leaf in Model 1.

Answers

Answer:

light energy,carbon dioxide, and water

Explanation:

Answer:

light energy,carbon dioxide , water

Why does warm air always rise at a front?

Answers

Warm air is less dense than the cool air that surrounds it so it rises above it

In the beginning of "A Growing Problem," how does the author
introduce his argument that nonnative species should not live in
Florida?
O A. by comparing Florida to Southeast Asia
O
B. by comparing pythons to alligators
O
C. by referencing facts about the dangers of pythons
O
D. by referencing people's expectations of the Everglades

Answers

Answer:   D

Explanation:

i took the quiz

Answer:

D.

Explanation:

I JUST submitted the test

Someone help thank you

Answers

Answer:

because its faster

Explanation:

The car on the right has less because even though they are moving at the same speed it has less mass, requiring less energy to move.

2. Define the structure of DNA by filling in the
descriptions below

Answers

Answer:

Please refer to the explanation below.

Explanation:

The sugar and phosphates molecules form the sides of the helix.

The nitrogen bases form the teeth of the helix.

Each nucleotide is made of a nitrogen base, a sugar, and a phosphate group.

34:58
What is the source of energy that drives photosynthesis?
O sunlight
hydrogen ions
o electrons
O oxygen
"pe here to search
O
Desktop

Answers

The answer to your question is electrons

Answer:

Sunlight

Explanation:

Photosynthesis is the process in which light energy is converted to chemical energy in the form of sugars. In a process driven by light energy, glucose molecules (or other sugars) are constructed from water and carbon dioxide, and oxygen is released as a byproduct. Therefore, it is sunlight.

PLEASE HELP ME OUT KINDA URGENT

Answers

Answer:

the first one

Infer how the structure of the root would be impacted in the absence of each of these
structures.

Answers

Answer:

I  cant see them

Explanation:

Please Provide a picture.

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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help pliz :3 I need your help and thank you <3​

Answers

Answer:

need to answer all??tell

Ashton is a crime scene investigator. He ensures that all the evidence gathered at the scene is properly handled and labeled. What is Ashton protecting?
Ashton ensures that the (blank) the documentation of who possesses evidence at all times, is protected by properly handling and labeling evidence.

Answers

when it says (blank) it means evidence evidence.

How many genes do u have for each trait?

Answers

Answer:

please give me brainlist and follow

Explanation:

An international research effort called the Human Genome Project, which worked to determine the sequence of the human genome and identify the genes that it contains, estimated that humans have between 20,000 and 25,000 genes. Every person has two copies of each gene, one inherited from each parent.

PLEASE HELP WITH THIS!!!

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Answer:

my mama is my mom

Explanation:

mum gae

I NEED HELP WITH SCIENCE!!!
1. Which term names the action that is happening when an acid eats away part of a metal bar?


weathering


corrosion


alkalizing


neutralizing


2. Which group of compounds tastes bitter and are usually slippery when placed in water?

metalloids


bases


corrosives


acids

3.Which number represents the pH of pure water?


1


7


11


14

4.What is the pH of sulfuric acid?


under 7


7


over 7


exactly 14

5.What is the pH of the lye in soap?


exactly 3


under 7


over 7


8

Answers

Answer:

corrosionbases7It warys of how much concentration there is over 7

EXPLANATION:

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Alkali substances has a pH greater than 7 hence it follows that the lye in soap has a pH over 7.

What is corrosion?

The term corrosion has to do with the waering away of a metal surface due to the action of oxidation. Hence the term applicable is corrosion.

The bases are know to be have a bitter taste and are slippery to touch hence the correct response is bases.

Water is a neutral substance, in the pH scale, a neutral substance has a pH of 7 hence the pH of water is 7.

Sulfuric acid is an acid and acids have a pH that is below 7 hence the pH of sulfuric acid is under 7.

Given the fact that alkali substances has a pH greater than 7, it follows that the lye in soap has a pH over 7.

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Transcribe the following DNA strand: ATGCATTGCGAT

Answers

Translation: UACGUAACGCUA
Transcription: tyr, val, thr, leu
5′ CAGTCAAGCAT 3′

Explanation: This sequence is complementary and in the correct orientation.

Given that cellular respiration uses oxygen and produces carbon dioxide, which of the following statements can be inferred from the diagram shown above?

A. Animals participate in cellular respiration, while plants participate in both cellular respiration and photosynthesis.
B. Animals do not rely on plants for survival.
C. Animals participate in cellular respiration because it results in the same products as photosynthesis.
D. Animals participate in cellular respiration, while plants do not.

Answers

Answer:

A. Animals participate in cellular respiration, while plants participate in both cellular respiration and photosynthesis.

Explanation:

The option (A) is correct. Animals participate in cellular respiration, while plants participate in both cellular respiration and photosynthesis.

What do you mean by cellular respiration?

Cellular respiration is the process by which biological fuels are oxidized in the presence of an inorganic electron acceptor such as oxygen to produce large amounts of energy, to drive the bulk production of ATP.

Cellular respiration is a series of chemical reactions that break down glucose to produce ATP, which may be used as energy to power many reactions throughout the body. There are three main steps of cellular respiration: glycolysis, the citric acid cycle, and oxidative phosphorylation.

During cellular respiration, a glucose molecule is gradually broken down into carbon dioxide and water. Along the way, some ATP is produced directly in the reactions that transform glucose. Much more ATP, however, is produced later in a process called oxidative phosphorylation.

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Which trophic level do anacondas and jaguars fill in the Amazon rainforest?

Answers

Answer:

tertiary consumer

Explanation:

In the late 1980s and early 1990s, the percentage of Icelandic children whose bacterial infections were caused by bacteria resistant to penicillin rose at an alarming rate. After public health officials initiated a campaign to reduce the use of penicillin, resistance dropped off. This observation is consistent with the hypothesis that ________.

Answers

Answer:

The correct answer would be - "bacterial populations evolve in response to the selection pressure imposed by antibiotics".

Explanation:

The given information provided in the question about the bacterial infection supports the hypothesis that the bacterial population shows the evolution in response to the selection pressure caused by the antibiotics due to the fact that bacteria increased resistance gradually with time. This resistance towards antibiotics increased the percentage of bacterially infected children in the late 1980s and early 1990s.

In this case, the population of bacteria having resistance genes is selected to evolved selected to increase their offsprings.

Which describes a similarity between abiotic and biotic factors?

Answers

Answer: They are both necessary for organisms to survive.

Explanation:

Abiotic factors refer to non-living physical and chemical elements in the ecosystem. Abiotic resources are usually obtained from the lithosphere, atmosphere, and hydrosphere. Examples of abiotic factors are water, air, soil, sunlight, and minerals. Biotic factors are living or once-living organisms in the ecosystem.

where is the best place to find information about the hazards that area associated with a compound

Answers

Answer:

Read a Material Safety Data Sheet (MSDS).

Explanation:

What three processes or forces
combine to set convection
currents in motion?

Answers

Answer:

There are three types of heat transfer: radiation, conduction, and convection. Heating and cooling of the fluid, changes in the fluid's density, and the force of gravity combine to set convection currents in motion.

Explanation:

Select all the true statements about how plants use and change energy.

Answers

Answer:

where are the questions?

how do you feel nonrenewable energy impacts the environment?

Answers

Answer:

Explanation:

Non renewable energy typically releases carbon dioxide, methane, and other gasses into the atmosphere.

Match the bacterial type with its proper definition. An answer choice can only be used once. A. Requires oxygen, but is toxic at atmospheric concentrations B. Can use oxygen for growth or can grow without it C. In fluid thitoglycollate medium, shows growth only at the top area of the medium D. Oxygen is completely toxic to it A. microaerophile B. facultative anaerobe C. obligate aerobe D. obligate anaerobe E. aerotolerant anaerobe

Answers

Answer:

ABCD

Explanation:

Bacteria is classified into 5 different groups  basically on their shapes which are spherical,  rod,  spiral,  vibrios and corkscrew

A) Requires oxygen, but is toxic at atmospheric concentrations

Microaerophile

B) Can use oxygen for growth or can grow without it

Facultative anaerobe

C) In fluid thitoglycollate medium, shows growth only at the top area of the medium

Obligate aerobe

D) Oxygen is completely toxic to it

Obligate anaerobe

1. Define physical change.
2. What are some examples of physical change?
3. The wood in the Figure below is being cut with a chainsaw. Is this a physical change?
Why or why not?

Answers

1. A physical change is a type of change in which the form of matter is altered but one substance is not transformed into another. The size or shape of matter may be changed, but no chemical reaction occurs.
2. Crushing a can.
Melting an ice cube.
Boiling water.
Mixing sand and water.
3.it is a physical change because in a physical change is usually easy to see.

the blood speed in a normal segment of a horizontal artery is 0.15 m/s. An abnormal segment of the artery is narrowed by an arteriosclerotic plaque down to one fifth its normal cross sectional area. What is the difference in blood preassures between the normal and constricted segments of the artery. The density of the blood is 1060

Answers

Answer:

286.2  pa

Explanation:

Blood speed in a normal segment of a horizontal artery ( v2 ) = 0.15 m/s

Density of blood = 1060 kg/m^3

Normal sectional area = A2

constricted sectional area ( A1 )= 1/5 A2

Determine the difference in blood pressures between the normal and constricted segments

we will apply Equation of continuity     Av = constant

Δ p = 12 PV^2

     = 12 * 1060 * ( 0.15 )^2

     = 12720 * 0.0225  =  286.2  pa

attached below is a detailed solution of the Given problem

FAKE ANSWERS WILL GET REPORTED.

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PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!

PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!


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Answer:

a.

Explanation: i had this in a social studies test before its a

Answer:

IN my opinion, it should be B

Explanation:

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