A typical human aorta, or main artery from the heart, is 1.8 cm in diameter and

Question

A typical human aorta, or main artery from the heart, is 1.8 cm in diameter and carries blood at a speed of 35 cm/s.

Part A

Part complete

What will be the flow speed around a clot that reduces the flow area by 80%?

Express your answer using two significant figures.

1.8

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A typical human aorta, or main artery from the heart, is 1.8 cm in diameter and carries blood at a speed of 35 cm/s.

Part A

Part complete

What will be the flow speed around a clot that reduces the flow area by 80%?

Express your answer using two significant figures.

1.8

SubmitPrevious Answers

Explanation / Answer

Balance equation

Area x velocity = Area x velocity

A1v1 = A2v2

Area1 = pi(r^2) = 3.14(0.9cm)(0.9cm) = 2.5434cm^2

Area2 = (100% - 80%)(2.5434cm^2)

Area2 = 0.2(2.5432cm^2) = 0.50868cm^2

A1v1 = A2v2

A1v1/A2 = v2

2.5434cm^2(35cm/s) / 0.50868cm^2 = v2

175cm/s = v2

175cm/s (1m/100cm) = 1.75m/s

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