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Oops, embarrassing mistake. ω and f are not the same quantity in different units... What I want is really a change of variables, not a unit transformation. 🙃
I have spent the last few days fully understanding the code (good way to learn Julia!) and reading (way too many) papers on the status of angle dimensions in the SI system, the issues it causes for software such as this one, the implications to existing mathematical and physical equations of adding angle as a dimension, the "2π Problem", the conflation of frequency and angular velocity... interesting world the world of units!
One idea (that I don't recommend, just a thought experiment) is to have Angles as a dimension in addition to the SI dimensions, and use UnitfulEquivalences.jl to define an equivalence that relates dimensions of frequency, period, and angular frequency, e.g. this equation.
I tried to convert frequency to angular frequency but get the same numeric value with different units:
What am I doing wrong? The expected result is 2π rad/s.
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