Given information
The cross sectional area of the arteries is 
.
The radius of the aorta is 
.
The speed of the blood in the aorta is 
.
Step-by-step explanation
According to the equation of continuity, for the incompressible fluid the product of its speed and the cross sectional area of the tube through which the fluid is flowing is a constant.
Therefore, the product of the speed of the blood and cross sectional area of the aorta is equal to the product of the speed of the blood and cross sectional area of the arteries.
The cross sectional area of the aorta is
Here, 
is the area and 
is the radius of the aorta.
The formula from the equation of continuity is
Here, 
is the speed of the blood in the aorta, 
is the cross sectional area of the arteries and 
is the speed of the blood in arteries.
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Physics: Principles with Applications
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Chapter
Section
- Problem 1
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- Problem 4
- Problem 5
- Problem 6
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- Problem 7b
- Problem 8
- Problem 9a
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- Problem 10
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- Problem 63a
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- Problem 66
- Problem 67
- Problem 68
- Problem 69a
- Problem 69b
- Problem 70
- Problem 71
- Problem 72