THE q DERIVATIVES (Cw Cm,, Che)

These derivatives represent the aerodynamic effects that accompany rotation of the airplane about a spanwise axis through the C. G. while a remains zero. An example of this kind of motion was treated in Sec. 6.10 (i. e. the steady pull-up). Figure 7.116 shows the general case in which the flight path is arbitrary. This should be contrasted with the situation illustrated in Fig. 7.11«, where q = 0 while a is changing.

THE q DERIVATIVES (Cw Cm,, Che)

THE q DERIVATIVES (Cw Cm,, Che)

Fie. 7.11 (a) Motion with zero q, but varying a. (6) Motion with zero a, bat varying q.

Both the wing and the tail are affected by the rotation, although, when the airplane has a tail, the wing contribution to CL and Cm^ is often negligible in comparison with that of the tail. In such cases it is common practice to increase the tail effect by an arbitrary amount, of the order of 10%, to allow for the wing and body.