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The Flow Rate of a Fluid Is Expressed as a Velocity

Question 34

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The flow rate of a fluid is expressed as a velocity of fluid multiplied by the cross-sectional area of the pipe (vA) . Assume that the pipe is a blood vessel with circular cross-sectional area calculated as A = ðr2, where r is radius. In a continuous flow rate, where v1A1 = v2A2, what is the change of the velocity of blood if a blood vessel with radius r1 reduced its radius by a factor of 2 to r2 = r1/2?


A) v2 = (1/4) v1
B) v2 = 2v1
C) v2 = 4v1
D) v2 = (1/2) v1

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