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.
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} .