An artery with cross sectional area of 1 cm2 branches into 20 smaller arteries each with 0.5 cm2 cross sectional area. If the velocity of blood in the thicker artery is v, what is the velocity of the blood in the thinner arteries

Answers

Answer 1

Answer:

The velocity of the blood in the thinner arteries is 0.1 times that of the thicker artery.

Explanation:

To find the velocity of the blood we need to use the continuity equation:

[tex] n_{1}A_{1}v_{1} = n_{2}A_{2}v_{2} [/tex]   (1)  

Where:

n: is the number of branches

A: is the cross-sectional area

v: is the velocity

For artery 1, we have:

n₁ = 1, A₁ = 1 cm², v₁ = v

For the 20 arteries (2), we have:

n₂ = 20, A₂ = 0.5 cm², v₂ =?

By using equation (1):

[tex] n_{1}A_{1}v_{1} = n_{2}A_{2}v_{2} [/tex]

[tex] 1 cm^{2}*v = 20*0.5 cm^{2}*v_{2} [/tex]

[tex] v_{2} = \frac{1 cm^{2}*v}{20*0.5 cm^{2}} = \frac{v}{10} = 0.1v [/tex]

Therefore, the velocity of the blood in the thinner arteries is 0.1 times that of the thicker artery.

I hope it helps you!      


Related Questions

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The three forces are:
Push force from dog = 20 N (sideways)
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A trip is taken that passes through the following points in order

Point A 0 m

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iron nail rusting

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A) Iron nail rusting

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Speed x time = distance
Distance divided by time = speed
500 divided by 5
Speed = 100

When are zeros significant when found in front of (to the left) of the decimal point?

Answers

Answer:

If a zero is found between important digits, it is important. Zeros are also used as (not salient) holders to the left of digits if the number is in fact a decimal. Example from www.rpi.edu: , a mass of 42 g has two significant digits. Expressed in kilograms, the mass of 0.042kg should still have two significant digits.

Explanation:

Zeros are also used as (not salient) holders to the left of digits if the number is in fact a decimal. Example from www.rpi.edu: "A mass of 42 g has two significant digits. Expressed in kilograms, the mass of 0.042kg should still have two significant digits."

Hope this comes in handy, have a great day!

How does temperature effect density and the flow of convection currents?

Answers

Answer:

Convection

Explanation:

Convection is heat transfer due to a density differential within a fluid. As water's temperature increases in the presence of a heat source, it will become less dense and rise. As it moves up and away from the heat source, it cools and becomes more dense and sinks.

How does cold water affect the speed of dissolving?

A. Cold water slows down dissolving

B. Cold water speeds up dissolving

C. Cold water has no effect on dissolving

D. Cold water completely stops dissolving

Answers

Answer:

Cold water slows down dissolving

Cold water slows down dissolving. Hence, option (A) is correct.

What is  the relationship between the solubility and the temperature?

The basic relationship between solubility and temperature is as follows: A solid will dissolve more readily at higher temperatures.

Likewise, a solid element dissolves more slowly at lower temperatures. This is all due to the solvent becoming more and more excited by the heat, making it easier for it to split or break apart entirely.

for while in gases The solubility of gases decreases more rapidly as temperature rises. A gas is more soluble in water when the temperature is lower.

Henry's law, which states that the gas becomes more soluble as the pressure above the liquid solution increases, summarizes another characteristic of gas solutes.

Learn more about solubility  here:

https://brainly.com/question/29661360

#SPJ2

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