airfoil Doing a sinusoidal pitching motion Assume pitch-angle variation is 0 +/- 45 degrees, and pivot is at half chord (c/2).

answer for the following conditions, keeping in mind the position of the orientation of the airfoil for five sections a time period (T): t = 0, T/4, T/2, 3T/4, and T.

1. c = 1 m, V = 2 m/s, f = 2/ Hz 2. c = 1 m, V = 20 m/s, f = 20/ Hz

c= airfoil chord,

V = translational velocity of pivot point,

f = frequency of pitching oscillation

starting from the leading edge, draw vectors (in correct scale to each other) specifying the translation, rotational, and total contributions to the velocity of the leading edge.

The negative of the total velocity vector is essentially the velocity of the air relative to the leading edge.

For each of the five time instants, list the angle formed between the negative of the total velocity vector and the airfoil chord line,