I get it.  My box fan motor is using energy for an hour at a rate of 260 watts/hour whereas the car is using the same energy in 2 minutes for an overall rate of 7800 watts per hour.

Thanks.

Um, no.  "Watts per hour" is as meaningless as "horsepower per hour" (outside some esoteric things mostly suitable for physics education).  There's watts and watt-hours; if the sentence wouldn't make sense if you substituted "horsepower" for "watts", you're almost certainly mis-using the term.
All right, already.  884 BTU per mile.  Watts suck.
EP.  Many thanks for all your good work, not just this piece but all the great things you have on your ergosphere.  

I think a lot of people get self-confused when they get into the habit of abbreviating kilowatt-hrs to kilowatts, as in "My electric bill showed only 213 kilowatts last month". From there  to kilowatts per hour is a swift slide down the steep slippery slope.

BTW, I have finally got a thin stream of  vital fluids flowing again toward completion of my 1kW home power stirling engine and shall give a full report asap.  The military industrial vampire had sucked it dry for an entire year (goddamit).

I'm looking forward to reading about it.
POWER:
Horsepower
Watts

ENERGY:
Joules
BTU
watt*hours

Power is energy divided by time.  Energy is power * time.

If charging a perfectly efficient battery for 10 hours takes 1 watt, then you have 10 watt hours in that battery.  That battery can't release all the energy at once after you're finished though, it maxes out at say, 5 watts.  So you can power a 5 watt lightbulb for two hours (until the batteries dead) on the amount of energy you charged it with.  

Alternately, you could power a 2.5 watt lightbulb for 4 hours, and so on and so forth.

We say that the battery has a capacity of 10 "watt hours," which is a distinct unit.