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The speed of air at the intake area is [tex]\frac{10A_2}{A_1} [/tex] (m/s).

Continuity equation

The continuity equation is used to determine the flow rate at different sections of a pipe or fluid conduit.

The continuity equation is given as;

[tex]A_1v_1 = A_2 v_2[/tex]

  • Let the intake area = A₁
  • Let the velocity of air in intake area = v₁
  • Let the area of the test section = A₂
  • Velocity of air in test section, v₂ = 10 m/s

The speed of air at the intake area is calculated as follows;

[tex]A_1 v_1 = A_2 v_2\\\\ v_1 = \frac{A_2 v_2}{A_1} \\\\ v_1 = \frac{10A_2}{A_1} [/tex]

Learn more about continuity equation here: https://brainly.com/question/14619396

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