Comment on Cardiff set to impose SUV parking premium after council approval
KitB@feddit.uk 2 days agoGiven how much heavier freight vehicles are than any passenger car, what percentage of road damage do they cause, given the damage seems to grow at O(n^16) ?
KitB@feddit.uk 2 days ago
I assume the exponential doesn’t hold up for some reason, maybe because of the amount of wheels they have. Otherwise it would seem that an LGV (maximum weight to cross borders in the EU is 44tonnes), then at that rate of growth it would deal 16^44 times as much damage as a normal car, which is a large enough ratio that I think it would be safe to say that either the road would be immediately obliterated under any vehicle of that weight or normal cars do so little damage that it would be misleading to represent it as anything other than zero.
To be clear: I’m not trying to say you’re wrong. There’s another option for the growth rate, given the two data points given, that probably makes more sense. I just found it amusing to entertain the thought and go through the process.
KitB@feddit.uk 2 days ago
Seems to be polynomial growth, actually: en.wikipedia.org/wiki/Fourth_power_law
Which makes more sense, but still; a 44 tonne lorry is doing 44^4 times as much damage as a 1 tonne car, which is 3.7 million times as much.