Why do police cars have such small wheelcovers or hubcaps?
Hubcaps generally fly off when the car is engaged in violent maneuvers. Since police cars are very likely to be engaged in violent maneuvering, hubcaps (if used at all) will be small to avoid the edge of the hubcap coming into contact with the tire as the rubber flexes under load (one of the most common causes for hubcaps to come loose).