If the coin is worn down to the point where you don't see the rims, what will that do to the weight? It will reduce it as the coin wears away, the weight also reduces. If you are rolling worn wheat cents with a stack tube, keep in mind that the rims missing will take more that 50 to make a roll when you roll them up. Proof cents in a plastic tube will only hold about 48 instead to 51 that most tubes hold.