Answer
$29.2\ in$
Work Step by Step
1. We know that the two wheels should travel the same arc length.
2. For the smaller wheel, we have the arc length traveled as $L_1=14.6\times120^\circ\times\frac{\pi}{180^\circ}\ in$
3. For the larger wheel, we have the arc length traveled as $L_2=r\times 60^\circ\times\frac{\pi}{180^\circ}\ in$
4. Let $L_2=L1$, we can find $r=\frac{14.6\times120}{60}=29.2\ in$
