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Regarding Michael's comments:
I don't totally disagree with Denker and others who want to say that
"radians" are units, but dimensionless units, but it sure causes problems
for students who are trying to do dimensional analysis.
Not if they are careful.
It is probably not a good idea to leave out the names of units (whether
they are dimensioned or not) from the discussion when there are multiple
different common unit measures of how to measure the quantity in question.
Since the dimensionless quantity "angle" has multiple units: rad, deg,
grad, and cycle are all in extant use one ignores their names at one's
peril. This has nothing to do with angles being dimensionless. That is
a different issue.
Also, converting units is a *different* activity than doing dimensional
analysis.
David Bowman
David_Bowman@georgetowncollege.edu