  Let $K$ be the closure of a bounded region in the complex plane with simply
connected complement whose boundary is a piecewise analytic curve with at least
one outward cusp. The asymptotics of zeros of Faber polynomials for $K$ are not
understood in this general setting. Joukowski airfoils provide a particular
class of such sets. We determine the (unique) weak-* limit of the full sequence
of normalized counting measures of the Faber polynomials for Joukowski
airfoils; it is never equal to the potential-theoretic equilibrium measure of
$K$. This implies that many of these airfoils admit an electrostatic skeleton
and also explains an interesting class of examples of Ullman related to
Chebyshev quadrature.
