Langley Memoir on Mechanical Flight, Parts I and II: Smithsonian Contributions to Knowledge, Volume 27 Number 3, Publication 1948, 1911Langley, S. P. (Samuel Pierpont)
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Langley Memoir on Mechanical Flight, Parts I and II: Smithsonian Contributions to Knowledge, Volume 27 Number 3, Publication 1948, 1911
Langley, S. P. (Samuel Pierpont)
Aeronautics; Flight
[13] One pound of twisted rubber appears, from my experiments, to be
capable of momentarily yielding nearly 600 foot-pounds of energy, but
this effect is attained only by twisting it too far. It will be safer
to take at most 300 foot-pounds, and as the strain must be taken up
by a tube or frame weighing at least as much as the rubber, we have
approximately 0.0091 as the horse-power for one minute, or 0.091
horse-power for six seconds as the maximum effect, in continuous
work, of a pound of ‹twisted› rubber strands. The longitudinal pull
of the rubber is much greater, but it is difficult to employ it in
this way for models, owing to the great relative weight of the tube
or frame needed to bear the bending strain. In either form, rubber is
far more effective for the weight than any steel spring (see later
chapter on Available Motors).
[14] The aerodrome is sustained by the upward pressure of the
air, which must be replaceable by the resultant pressure at some
particular point, designated by ‹CP›.
[15] See Century Magazine, October, 1891.
[16] Subsequent observations indicate that the maximum velocity of
horizontal flight must have been about 10 metres per second.
[17] Observers following de Lucy have long since called attention to
the fact that as the scale of Nature’s flying things increases, the
size of the sustaining surfaces diminishes relatively to the weight
sustained. M. Harting (Aeronautical Society, 1870) has shown that the
relation √area/∛weight is surprisingly constant when bats varying
in weight as much as 250 times are the subject of the experiment,
and later observations by Marey have not materially affected the
statement. As to the muscular power which Nature has imparted with
the greater or lesser weight, this varies, decreasing very rapidly
as the weight increases. The same remark may be made apparently with
at least approximate truth, with regard to the soaring bird, and the
important inference is that if there be any analogy between the bird
and the aerodrome, as the scale of the construction of the latter
increases, it may be reasonably anticipated that the size of the
sustaining surfaces will relatively diminish rather than increase.
We may conveniently use M. Harting’s formula in the form ‹a› =
‹n›^2‹w›^{2/3} = ‹l›^2/‹m›^2 where ‹a› = area in sq. cm., ‹w› the
weight in grammes, ‹l› the length of the wing in cm., ‹n› and ‹m›
constants derived from observation.
[18] A singular fact connected with the stretching of rubber is
that the extension is not only not directly proportional to the
power producing it, but that up to a certain limit it increases more
rapidly than the power, and after this the relation becomes for a
time more nearly constant, and after this again the extension becomes
less and less in proportion.
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