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A cylindrical blood vessel is partially blocked by the build up of plaque. At on

ID: 1796534 • Letter: A

Question

A cylindrical blood vessel is partially blocked by the build up of plaque. At one point, the plaque decreases the diameter of the vessel by 40.0%. The blood approaching the blocked portion has speed vo. Just as the blood enters the blocked portion of the vessel, what will be its speed in terms of vo? A cylindrical blood vessel is partially blocked by the build up of plaque. In the unblocked region, the diameter is Do and the blood is traveling at a speed of vo- At one point, the plaque decreases the diameter to D1 = 0.40D0. Because the blood vessel is a closed system, we can apply the equation of continuity to solve for v1 in terms of vo-

Explanation / Answer

A0 V0 = A1 V1

A0 V0 = (pi * 0.6 r2) V1

V1 = A0 V0 / (pi * r2 * 0.62)

V1 = (pi * r2) V0 / (pi * r2 * 0.62)

V1 =  V0 / ( 0.62)

V1 = 2.78 V0

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