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Re: when to write radians



On Monday, Jun 30, 2003, at 23:08 US/Eastern, Joe Heafner wrote:

. . . The rule is this: If the numerical quantity depends on the
angular unit, then explicitly write the angular unit. If the
numerical quantity doesn't depend on the angular unit, then
do not write the unit. Therefore, we don't explicitly write the
radian when we articulate a value for a linear speed. . . .

1) Decibels are often used to express ratios of two
physical quantities (expressed in the same units).
For example, currents, pressures and voltages.

2) When we say "a length of a corridor is 20 meters"
we are referring to a ratio of two lengths, that of
the corridor and that of a stick, our secondary
standard of length. Why don't we add "radians,"
"decibels" or "machs?" Because this would not
be useful.

Ludwik Kowalski