The Bicycle Problem

A bicycle wheel has a radius of 13 inches. How many revolutions must the wheel make to go 1 mile?

Extension
What is the radius of the wheel if you want the bicycle to travel 1 mile after the wheel makes 1000 revolutions?

Suppose you are riding a tall tricycle where the front wheel is larger than the rear wheels. If the large wheel makes 1/7 as many revolutions than the smaller wheels, then what is the radius of each of the wheels if they BOTH made an integral number of revolutions in one mile?