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Re: Rockets and planes



(I am sending to the list because I am not sure Hugh's address is e-mail
or www. Sorry. - The Amateur]
On Tue, 14 Oct 1997 22:54:47 -0400 Hugh Haskell <hhaskell@mindspring.com>
writes:
So here is the actual statistic not confused by fading memory, I
still think
it is impressive:

One can transport 1 ton of freight 100 km with 14 oz of diesel fuel,
by
freight train.

Joel

That is a really interesting combination of units. But what does it
mean?
Is it the marginal fuel used to move that much cargo, over and above
that
used just to get the locomotive and the railroad car there? Does it
depend
on the length of the train? If I am hauling a fully loaded 150 car
train
and add 1 ton to one of the cars, do I use 14 oz. more fuel per 100
km? Or
is it the total fuel to move the train per ton of cargo carried? This
sound
impressive but it may be considerably less so when put in the context
in
which it was derived.

Speaking of units confusion, an interesting one occurs in rocketry.
The
specific impulse of a rocket engine is a measure of the momentum
change of
the rocket per unit mass of fuel carried. In metric (SI) units that
would
be measured in newton seconds per kilogram of fuel. In the SI system
that
is the end of the simplification, if you want the units to be
descriptive
of what it represents. But dividing out the kilograms leaves meters
per
second, or velocity. But since the velocity of the rocket is dependent
on
lots of other things than the impulse delivered by the fuel, that
isn't a
particularly useful unit to use. But in the "American" system, the
units of
specific impulse work out to pound (force) seconds per pound (mass).
Of
course no one puts in the force or mass modifiers and so the "obvious"
cancellation reduces the unit immediately to seconds. There is a unit
diabolically designed to confuse the uninitiated. Without knowing what
was
improperly cancelled from the units, one would have a great deal of
trouble
using the expression in any other equation. Or even making sense out
of the
numbers given, except that as usual "bigger is better." But there it
is.
Next time you or one of your students has occasion to purchase some
model
rocket motors, check the specification sheet and see what units they
present specific impulse in. Right. Seconds.

Hugh




************************************************************
Hugh Haskell <mailto://hhaskell@mindspring.com>

The box said "Requires Windows 95 or better." So I bought a Macintosh.
*

I have asked NASA repeatedly for the Gibbs free energy expended on a
typical shuttle mission (forget the indirect costs - even) to no avail.
Enough to feed a nation for a day - I opine. Regards / Tom

P.S. A 747 partially loaded (I have the number of passengers) consumed
26,000 pounds of jet fuel between Houston and St Louis. The pilot gave
me enough info. to compute the Gibbs availability function for jet fuel.
They were very nice as soon as I showed that I could read all their
gauges, which are labeled, by the way.