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But, Leigh, physical quantities are not merely magnitudes. They have
dimension. Isn't this what distinguishes one physical quantity from
another as in velocity as compared to acceleration?
I'm not talking about "other" combinations or operations which we do not
normally do, but does not the same thing apply? Different operations
result in different combinations of dimensions?
The bottom line is this: energy and torque have the same
dimensions. They can be given the same units, too, but
there is probably a lot to be said for distinguishing
them by using cosmetically different units.
So you're telling me that you can refer to the physical quantity, 5 Joules,
and this could be either a torque or an energy? What happened to all the
precision in language?