Not impossible. 2X4s hadn’t been 2X4s long before metrication.
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Not sure why the roll-eyes.
The USA was on the same track as Canada, until the wrath of voters persuaded the government to back off.
The government in Canada had 5 years before the next election (not 2) and the courts generally did not interfere as much as they did in the USA, and backbenchers were more intimidated by the party brass (party whip) than by voters… Just the opposite of Congress. (Trudeau himself famously said “backbenchers are nobodies 100 yards from parliament hill”)
So Canada went metric even though it meant trampling peoples’ rights and ignoring a lot of popular will. the whole “big brother tells you you cannot say ‘pounds’ or ‘gallons’ in your store” played out in full.
In retrospect, speaking as a physics grad, and simply on a logical basis, the metric system is simpler; it had to be done, and the “short sharp shock” was probably simpler in the long run. But it did trample on people’s rights and it was somewhat disruptive. This sort of change is.
I suspect you’ll see the other alternative, gradual change, in the USA. The technolgoy is also simpler today - change units on a scale or gas pump at the push of a button, instead of buying new scales. For example, a simple commerce rule - all new scales bought after X need to be capable of metric. As of Y, all receipts show metric also. You’re already on the way with metric 2L bottles, etc.
It will probably be 20 to 50 years before everyone changes even if the government decided to do it.
Paper will stay 8.5x11 not A4, N.American sports will still use yards, marathons will stay a nice even 26.4 miles, and so on… In specialized fields, like construction, standard sizes will continue to be historical. Yes, plumbing for example still uses pipes in inch measurements. Lumber nominal sizes, which don’t match finished sizes, are still used. International aviation still uses feet because it’s too disruptive and potentially dangerous to change.