Depends on how much weight you put in your loco. Enough weight and that scale penny will flatten right out. Maybe you could research it and let us know.[:D]
Frankly, I’ve wondered about this, too. Since weight is propotional to volume, the HO scale weight would be the weight of the prototype divided by 87 cubed (87 X 87 X 87), right? So the scale weight of UP’s 844 would be it’s actual weight (1,000,000 pounds) divided by 658,503 (87 cubed)… Could it be that 1.518 pounds is the scale weight of an HO scale 844? Correct me if I’m wrong in this thinking.
Anyway, I’ve also thought about a scale penny, a couple thousandths thick and I’ve imagined that the scale penny would be unaltered if run over by the 1.5 pound model loco. I’ve tried to test it, but the scale penny keeps falling off the track (just kidding).
I did try it in 1:1. The prototype 844 flattened a real penny to about 1/20 of its original thickness. It must be that molecular hardness thing that keeps it from happening in scale. I’m glad to know that.
Regarding having too much time to think, I run shays. Enough said?
The answer lies in simple Newtonian kinematics. The penny is deformed by the force applied by the weight of the locomotive. This is the mass of the locomotive times the gravitational acceleration. This doesn’t scale because it’s not a function of size but of mass.
For a given thickness of zinc with a copper jacket one could calculate the force required to deform it based on the tensile strength of the material. I’m a dynamic meteorologist and not a metallurgist, so I can’t help with that. But once you know the required force, you go back to Newton’s second law:
F = m * a (where in this case a = -g, or +9.8 m/s^2 or +32 ft/s^2).
So, assuming your metallurgist friend has given you F for an HO scale penny, m = F/a. Now you know the required mass for your HO locomotive.
I would wager that the mass you’d calculate is still so high, that in order to make the locomotive still be HO scale it would have to be made of a material so dense it would not exist on the Periodic Table.
Don’t forget the rolling effect of the wheel as it goes over the penny. Like the rollers in a steel mill, or just a plain rolling pin as it’s making cookies… Probably has as much of an influence over the flattening as the weight. Otherwise, the tracks would be flattened, nevermind the ties… Ok, I know, the weight of the engine is distributed over many ties, but…
Humm… a scale penny, 1/87th of the size, Height, weight and thickness, would not be much copper. Some of the newer diesels can weight that 1.5 lbs. Humm… not much copper to deform…humm…
See the part above again. An atom of copper CAN’T be scaled. It is what it is. It will have the same atomic bonds whether it’s in a 1:1 penny or a 1:87 penny.(simple 9th grade chemistry)[:D]