A NACA 0012 airfoil having a chord of 2.3\,m is in an airstream velocity of 70\,m/s at standard sea level conditions. Find the angle of attack for this airfoil,  if the lift per unit span produced is 1400\,N.

A NACA 0012 airfoil having a chord of 2.3\,m is in an airstream velocity of 70\,m/s at standard sea level conditions. Find the angle of attack for this airfoil,  if the lift per unit span produced is 1400\,N.

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    Span is the wingspan of the airplane. It is the distance from one wing tip to other. It is measured in a straight line and is independent of the wing shape and sweep.  Lift per unit span produced by a wing is given as {L}’ = \frac{1}{2} \rho _{\infty}V_{\infty}^{2} c\left ( 1 \right )c_{l}. Here, \frac{1}{2} \rho_{\infty}V_{\infty}^{2} is called the dynamic pressure , q_{\infty} .  Coffeicent of lift, c_{l}, for this airfoil will be c_{l} = \frac{{L}’}{q_{\infty}c\left ( 1 \right )} \Rightarrow c_{l} = \frac{1400}{\left (\frac{1}{2} \times 1.225 \times 70^{2} \right )\left ( 2.3 \right )\left ( 1 \right )}\Rightarrow c_{l} = 0.203Therefore, coefficient of lift for this airfoil is 0.203. For, NACA 0012 airfoil from the lift curve -slope for this airfoil, the angle of attack is 2^{\circ} .

    techAir Answered on 26th July 2021.
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