2. You are a medical professional attempting to explore the problem of blood pressure drops in diseased, narrowed arteries. The arteries have approximately circular cross-section. In a section of an artery, the diameter d, is 0.0050 m and the speed v₁ of the blood is 0.498 m/s. The section narrows into another segment of artery with diameter d₂ = 0.0020 m. The height relative to the laboratory floor does not change as you see. (y₁ = y₂.) The density of this blood is 1.05x10³3 kg/m³. NOTE: The diagram below shows dimensions and arrows qualitatively and may not be exactly at scale. (a) section of artery? (b) second section ? (c) (d) sections? What is the circular cross-sectional area A₁ of the first What is the circular cross-sectional area A₂ of the What is the speed v₂ in the narrow section of artery? What is the pressure difference P₁ - P₂ between the two

Physics for Scientists and Engineers: Foundations and Connections
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ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter15: Fluids
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Problem 46PQ
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2.
You are a medical professional attempting
to explore the problem of blood pressure drops in diseased, narrowed
arteries. The arteries have approximately circular cross-section.
In a section of an artery, the diameter d, is 0.0050 m and the speed v₁ of
the blood is 0.498 m/s. The section narrows into another segment of
artery with diameter d₂ = 0.0020 m. The height relative to the
laboratory floor does not change as you see. (y₁ = y₂.) The density of this
blood is 1.05x10³ kg/m³. NOTE: The diagram below shows
dimensions and arrows qualitatively and may not be exactly at scale.
(a)
section of artery?
(b)
second section ?
What is the circular cross-sectional area A₁ of the first
(c)
(d)
sections?
What is the circular cross-sectional area A₂ of the
What is the speed v₂ in the narrow section of artery?
What is the pressure difference P₁ - P₂ between the two
1
2
(e)
Short answer in sentence form or math form;
just clearly explain your work:
a drop
in pressure could lead to the collapse of the narrow section of artery.
Explain. What would be one major consequence of such a collapse?
d₁ → 1
d₂
Transcribed Image Text:2. You are a medical professional attempting to explore the problem of blood pressure drops in diseased, narrowed arteries. The arteries have approximately circular cross-section. In a section of an artery, the diameter d, is 0.0050 m and the speed v₁ of the blood is 0.498 m/s. The section narrows into another segment of artery with diameter d₂ = 0.0020 m. The height relative to the laboratory floor does not change as you see. (y₁ = y₂.) The density of this blood is 1.05x10³ kg/m³. NOTE: The diagram below shows dimensions and arrows qualitatively and may not be exactly at scale. (a) section of artery? (b) second section ? What is the circular cross-sectional area A₁ of the first (c) (d) sections? What is the circular cross-sectional area A₂ of the What is the speed v₂ in the narrow section of artery? What is the pressure difference P₁ - P₂ between the two 1 2 (e) Short answer in sentence form or math form; just clearly explain your work: a drop in pressure could lead to the collapse of the narrow section of artery. Explain. What would be one major consequence of such a collapse? d₁ → 1 d₂
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