smc

We know that the radius of the wheel is $3$ feet, so the total circumference of the wheel is $6\pi$ feet. We also know that one mile is equivalent to $5280$ feet. It takes $\frac{5280}{6\pi }$ revolutions for any one point on the wheel to travel a mile. Simplifying, we find that the answer is $\boxed{\frac{880}{\pi }}$.