Step 1:
We start by applying the continuity equation, which gives us:
\[0 = -\rho v_1 A_1 + \rho v_2 A_2\]
where $\rho$ is the density of air, $v_1$ and $v_2$ are the velocities of air at the inlet and outlet respectively, and $A_1$ and $A_2$ are the areas of the
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