QuestionJuly 18, 2025

Part D Relative to its initial.healthy state, by what factor does the velocity of blood increase as the blood passes through this blockage? Express your answer numerically. includegraphics[width=0.1width](subunit.png) & includegraphics[width=0.1width](unit.png) & includegraphics[width=0.1width](unit.png) & includegraphics[width=0.1width](unit.png) & includegraphics[width=0.1width](unit.png) & includegraphics[width=0.1width](unit.png) & includegraphics[width=0.1width](unit.png)

Part D Relative to its initial.healthy state, by what factor does the velocity of blood increase as the blood passes through this blockage? Express your answer numerically. includegraphics[width=0.1width](subunit.png) & includegraphics[width=0.1width](unit.png) & includegraphics[width=0.1width](unit.png) & includegraphics[width=0.1width](unit.png) & includegraphics[width=0.1width](unit.png) & includegraphics[width=0.1width](unit.png) & includegraphics[width=0.1width](unit.png)
Part D
Relative to its initial.healthy state, by what factor does the velocity of blood increase as the blood passes through this blockage?
Express your answer numerically.

 
includegraphics[width=0.1width](subunit.png) & includegraphics[width=0.1width](unit.png) & includegraphics[width=0.1width](unit.png) & includegraphics[width=0.1width](unit.png) & includegraphics[width=0.1width](unit.png) & includegraphics[width=0.1width](unit.png) & includegraphics[width=0.1width](unit.png)

Solution
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Answer

\frac{A_1}{A_2} Explanation 1. Understand the Continuity Equation The continuity equation for fluid flow states that A_1 v_1 = A_2 v_2, where A is the cross-sectional area and v is the velocity. 2. Relate Areas to Velocity If the area decreases due to blockage, velocity increases. Let A_1 be the initial area and A_2 be the reduced area. Then, v_2 = \frac{A_1}{A_2} v_1. 3. Calculate the Factor of Increase The factor by which velocity increases is \frac{A_1}{A_2}.

Explanation

1. Understand the Continuity Equation<br /> The continuity equation for fluid flow states that $A_1 v_1 = A_2 v_2$, where $A$ is the cross-sectional area and $v$ is the velocity. <br /><br />2. Relate Areas to Velocity<br /> If the area decreases due to blockage, velocity increases. Let $A_1$ be the initial area and $A_2$ be the reduced area. Then, $v_2 = \frac{A_1}{A_2} v_1$.<br /><br />3. Calculate the Factor of Increase<br /> The factor by which velocity increases is $\frac{A_1}{A_2}$.
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