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In a normal adult, average speed of blood through iota is 0.33 meter per second which is the radius of 0.9 centimeter from the aorta. The blood goes into major arteries which are 30 number each of radius 0.5 centimeter. Calculate the speed of blood through the arteries.?
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In a normal adult, average speed of blood through iota is 0.33 meter p...
Calculating the Speed of Blood through Arteries
To calculate the speed of blood through the arteries, we can use the principle of continuity, which states that the product of cross-sectional area and velocity of a fluid remains constant along a streamline. In other words, when the blood flows from a larger vessel to a smaller vessel, its velocity increases.
Given data:
- Speed of blood through the aorta (v1) = 0.33 m/s
- Radius of the aorta (r1) = 0.9 cm = 0.009 m
- Number of major arteries (n) = 30
- Radius of major arteries (r2) = 0.5 cm = 0.005 m
Calculating the cross-sectional area of the aorta:
The cross-sectional area of a vessel can be calculated using the formula A = π * r^2, where A is the cross-sectional area and r is the radius.
A1 = π * (0.009 m)^2
A1 ≈ 0.000254 m^2
Calculating the cross-sectional area of major arteries:
Since there are 30 major arteries, the total cross-sectional area of all the arteries (A2) will be 30 times the cross-sectional area of a single artery.
A2 = 30 * π * (0.005 m)^2
A2 ≈ 0.002827 m^2
Applying the principle of continuity:
According to the principle of continuity, the product of cross-sectional area and velocity remains constant.
A1 * v1 = A2 * v2
Substituting the known values:
0.000254 m^2 * 0.33 m/s = 0.002827 m^2 * v2
Simplifying the equation:
v2 ≈ (0.000254 m^2 * 0.33 m/s) / 0.002827 m^2
v2 ≈ 0.00297 m/s
Answer:
The speed of blood through the major arteries is approximately 0.00297 m/s.
To calculate the speed of blood through the arteries, we can use the principle of continuity, which states that the product of cross-sectional area and velocity of a fluid remains constant along a streamline. In other words, when the blood flows from a larger vessel to a smaller vessel, its velocity increases.
Given data:
- Speed of blood through the aorta (v1) = 0.33 m/s
- Radius of the aorta (r1) = 0.9 cm = 0.009 m
- Number of major arteries (n) = 30
- Radius of major arteries (r2) = 0.5 cm = 0.005 m
Calculating the cross-sectional area of the aorta:
The cross-sectional area of a vessel can be calculated using the formula A = π * r^2, where A is the cross-sectional area and r is the radius.
A1 = π * (0.009 m)^2
A1 ≈ 0.000254 m^2
Calculating the cross-sectional area of major arteries:
Since there are 30 major arteries, the total cross-sectional area of all the arteries (A2) will be 30 times the cross-sectional area of a single artery.
A2 = 30 * π * (0.005 m)^2
A2 ≈ 0.002827 m^2
Applying the principle of continuity:
According to the principle of continuity, the product of cross-sectional area and velocity remains constant.
A1 * v1 = A2 * v2
Substituting the known values:
0.000254 m^2 * 0.33 m/s = 0.002827 m^2 * v2
Simplifying the equation:
v2 ≈ (0.000254 m^2 * 0.33 m/s) / 0.002827 m^2
v2 ≈ 0.00297 m/s
Answer:
The speed of blood through the major arteries is approximately 0.00297 m/s.
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In a normal adult, average speed of blood through iota is 0.33 meter per second which is the radius of 0.9 centimeter from the aorta. The blood goes into major arteries which are 30 number each of radius 0.5 centimeter. Calculate the speed of blood through the arteries.?
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In a normal adult, average speed of blood through iota is 0.33 meter per second which is the radius of 0.9 centimeter from the aorta. The blood goes into major arteries which are 30 number each of radius 0.5 centimeter. Calculate the speed of blood through the arteries.? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about In a normal adult, average speed of blood through iota is 0.33 meter per second which is the radius of 0.9 centimeter from the aorta. The blood goes into major arteries which are 30 number each of radius 0.5 centimeter. Calculate the speed of blood through the arteries.? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a normal adult, average speed of blood through iota is 0.33 meter per second which is the radius of 0.9 centimeter from the aorta. The blood goes into major arteries which are 30 number each of radius 0.5 centimeter. Calculate the speed of blood through the arteries.?.
In a normal adult, average speed of blood through iota is 0.33 meter per second which is the radius of 0.9 centimeter from the aorta. The blood goes into major arteries which are 30 number each of radius 0.5 centimeter. Calculate the speed of blood through the arteries.? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about In a normal adult, average speed of blood through iota is 0.33 meter per second which is the radius of 0.9 centimeter from the aorta. The blood goes into major arteries which are 30 number each of radius 0.5 centimeter. Calculate the speed of blood through the arteries.? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a normal adult, average speed of blood through iota is 0.33 meter per second which is the radius of 0.9 centimeter from the aorta. The blood goes into major arteries which are 30 number each of radius 0.5 centimeter. Calculate the speed of blood through the arteries.?.
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