Johnny
This article reports a disk approximately 8-12 mm in diameter.
http://findarticles.com/p/articles/mi_m1215/is_/ai_90190965 .
Or roughly 1/3 inch in diameter. Because of hunting and slip that disk moves around the wheel and around the railhead. The idea is to keep the contact area about that size to minimize slip and wear.
Amazing isn't it?
And with 8 contact points per car each 10 mm in diameter we get 1/8 square inch per wheel or 1 square inch per car or a load of 100 tons per square inch on the rail.
About the size of a dime. so 100 x 8 so about 800 dollars worth of space ;)
Yes we are on time but this is yesterdays train