A cylindrical blood vessel is partially blocked by the buildup of plaque. At one point, the...
A cylindrical blood vessel is partially blocked by the buildup of plaque. At one point, the plaque decreases the diameter of the vessel by 72.0%. The blood approaching the blocked portion has speed ?0. Just as the blood enters the blocked portion of the vessel, what is its speed ?, expressed as a multiple of ?0?
Homework Answers
Diameter of the blood vessel before the blocked portion = D0
Cross-sectional area of the blood vessel before the block
portion = A0 = 
D02/4
Speed of the blood in the blood vessel before the blocked portion = V0
The plaque decreases the diameter of the vessel by 72%.
Diameter of the blood vessel in the blocked portion = D = 0.28D0
Cross-sectional area of the blood vessel in the blocked portion
= A = D2/4
Speed of the blood in the blood vessel in the blocked portion = V
By continuity equation,
A0V0 = AV
(D02/4)V0
= (D2/4)V
D02V0 = D2V
D02V0 = (0.28D0)2V
V = 12.755V0
Speed of the blood as it enter the blocked portion of the vessel = 12.755V0
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A cylindrical blood vessel is partially blocked by the buildup
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A cylindrical blood vessel is partially blocked by the buildup of plaque. At one point, the...
A cylindrical blood vessel is partially blocked by the buildup of plaque. At one point, the plaque decreases the diameter of the vessel by 73.0%. The blood approaching the blocked portion has speed ?0. Just as the blood enters the blocked portion of the vessel, what is its speed ?, expressed as a multiple of ?0?
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