The tires on your truck have 0.25 m radius. In a straight line, you drive 2600 m. What is the angular displacement of the tire, during this trip? Would the angular displacement be
more or less if you put on big mud tires with a radius of .65m
Mud tires have (more or less) angular displacement

1) In a circular motion, the angular displacement  is given by

where S is the arc length and r is the radius. The problem says that the truck drove for 2600 m, so this corresponds to the total arc length covered by the tire: . Using the information about the radius, , we find the total angular displacement:

2) If we put larger tires, with radius , the angular displacement will be smaller. We can see this by using the same formula. In fact, this time we have:

(see question below to reference)