Pitfalls - of "thinking for oneself".

[DenverBrian]

This is apparently one of Magnus Magnusson's favourite after-dinner stories, but originally came from
the "Engineers Weekly" of Denmark, and illustrates the virtues - and pitfalls - of "thinking for oneself".


It concerns the following question in a physics degree exam at the University of Copenhagen:

"Describe how to determine the height of a skyscraper with a barometer."

One enterprising student replied: "You tie a long piece of string to the neck of the barometer, then
lower the barometer from the roof of the skyscraper to the ground. The length of the string plus the
length of the barometer will equal the height of the building."

This highly original answer so incensed the examiner that the student was failed immediately. The
student appealed, on the grounds that his answer was indisputably correct, and the university
appointed an independent arbiter to decide the case. The arbiter judged that the answer was indeed
correct, but did not display any noticeable knowledge of physics; to resolve the problem it was decided
to call the student in and allow him six minutes in which to verbally provide an answer which showed at
least a minimal familiarity with the basic principles of physics.

For five minutes the student sat in silence, forehead creased in thought. The arbiter reminded him that
time was running out, to which the student replied that he had several extremely relevant answers, but
couldn't make up his mind which to use. On being advised to hurry up the student replied as follows:

Firstly, you could take the barometer up to the roof of the skyscraper, drop it over the edge, and
measure the time it takes to reach the ground. The height of the building can then be worked out from
the formula H = 1/2gt sqared (height equals half times gravity time squared). But bad luck on the
barometer.
Or if the sun is shining you could measure the height of the barometer, then set it on end and
measure the length of its shadow. Then you measure the length of the skyscraper's shadow, and
thereafter it is a simple matter of proportional arithmetic to work out the height of the skyscraper.
But if you wanted to be highly scientific about it, you could tie a short piece of string to the barometer
and swing it like a pendulum, first at ground level and then on the roof of the skyscraper. The height is
worked out by the difference in the gravitational restoring force (T = 2 pi sqr root of l over g).
Or if the skyscraper has an outside emergency staircase, it would be easier to walk up it and mark off
the height of the skyscraper in barometer lengths, then add them up.

If you merely wanted to be boring and orthodox about it, of course, you could use the barometer to
measure air pressure on the roof of the skyscraper, compare it with standard air pressure on the
ground, and convert the difference in millibars into feet to give the height of the building.

But since we are constantly being exhorted to exercise independence of mind and apply scientific
methods, undoubtedly the best way would be to knock on the janitor's door and say to him "If you
would like a nice new barometer, I will give you this one if you tell me the height of this skyscraper."

[phjrsaunt]

Well now THERE'S some soup for your barometers!

[sailingagain]

Indeed.

[MICHIPHIN]

Follow in my wake!