this post was submitted on 18 Dec 2024
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[–] Zagorath@aussie.zone 2 points 3 days ago (1 children)

Out of interest, how do tyre microplastic emissions scale with weight, tyre width, speed, etc.? Just how much better than cars are bikes in this specific respect?

[–] Kaboom@reddthat.com 8 points 3 days ago (1 children)

It's exponential with vehicle weight.

[–] Zagorath@aussie.zone 1 points 2 days ago (2 children)

Exponential? You sure? A lot of things like this go up with the 2nd or 4th power of weight. I don't think I've ever seen an exponential increase before.

[–] asret@lemmy.zip 1 points 1 day ago (1 children)

What do you think exponential means?

[–] Zagorath@aussie.zone 1 points 1 day ago* (last edited 1 day ago) (1 children)

It means n^x^, where nb is a fixed constant and X is the variable we're interested in. By contrast, damage to roads is proportional to x^4^, which is not exponential.

[–] asret@lemmy.zip 3 points 20 hours ago (1 children)

Thanks. That helps. I guess I'm just used to less precise usage, whether something is linear, greater than linear (exponential) or less than linear (logarithmic). I don't often hear people talk about polynomial growth.

[–] Zagorath@aussie.zone 3 points 14 hours ago

Yeah I've seen the less precise usage before. I push back on it whenever I can, because the difference between exponential growth and quadratic or quartile growth is pretty significant. But it's especially bad in a context like this where someone specifically asked in what manner something scales, which is a question that (to my mind) clearly indicates a desire for the specific nature of the growth, particularly given the well-known quadratic growth of air resistance with velocity and the less (but still kinda) well-known quartic growth of damage to roads with axel weight.

[–] Kaboom@reddthat.com 1 points 2 days ago

Sorry, yeah, with the power of the 2nd