Answer
22 rpm
Work Step by Step
Radius $r=\frac{14\,ft}{2}=7\,ft$
Linear velocity
$v=11\,mi/h=\frac{11\,mi}{h}\times\frac{5280\,ft}{1\,mi}\times\frac{1\,h}{60\,min}$
$=968\,ft/min$
Angular velocity $\omega=\frac{v}{r}=\frac{968\,ft/min}{7\,ft}=44\times\frac{22}{7}\,rad/min$
$=44\pi\,rad/min\times\frac{1\, revolution}{2\pi\,rad}$
$=22\,rpm$