I have two different photographic flash units.  One is rated in joules and
one in "watt-seconds," which is commonly used for flash units.  Looking at
the mathematics, I see a joule is defined as a kg*m2/s2, while a watt is a
kg*m2/s3.  Therefore, a watt-second would be the same as a joule, since the
seconds to the minus 3 power would become seconds to the minus 2 power when
multiplied by seconds (overall > energy times time equals power). 

Is my reasoning correct??  Any ideas why the industry would be using
"watt-seconds" instead of joules?

Paul

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