normal¡¡pressure¡£¡¡A¡¡pressure¡¡of¡¡this¡¡kind
against¡¡a¡¡plane¡¡is¡¡where¡¡the¡¡wind¡¡strikes¡¡it¡¡at
right¡¡angles¡£¡¡This¡¡is¡¡illustrated¡¡in¡¡Fig¡£¡¡4£»¡¡in
which¡¡the¡¡plane¡¡is¡¡shown¡¡with¡¡the¡¡wind¡¡striking
it¡¡squarely¡£
It¡¡is¡¡obvious¡¡that¡¡the¡¡wind¡¡will¡¡exert¡¡a¡¡greater
force¡¡against¡¡a¡¡plane¡¡when¡¡at¡¡its¡¡normal¡£¡¡On¡¡the
other¡¡hand£»¡¡the¡¡least¡¡pressure¡¡against¡¡a¡¡plane¡¡is
when¡¡it¡¡is¡¡in¡¡a¡¡horizontal¡¡position£»¡¡because¡¡then
the¡¡wind¡¡has¡¡no¡¡force¡¡against¡¡the¡¡surfaces£»¡¡and
the¡¡only¡¡effect¡¡on¡¡the¡¡drift¡¡is¡¡that¡¡which¡¡takes
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_Fig¡£¡¡4¡£¡¡Normal¡¡Air¡¡Pressure_
_Fig¡£¡¡5¡£¡¡Edge¡¡Resistance_
HEAD¡¡RESISTANCE¡£Fig¡£¡¡5¡¡shows¡¡such¡¡a¡¡plane£»
the¡¡only¡¡resistance¡¡being¡¡the¡¡thickness¡¡of¡¡the
plane¡¡as¡¡at¡¡A¡£¡¡This¡¡is¡¡called¡¡head¡¡resistance£»
and¡¡on¡¡this¡¡subject¡¡there¡¡has¡¡been¡¡much¡¡controversy£»
and¡¡many¡¡theories£»¡¡which¡¡will¡¡be¡¡considered
under¡¡the¡¡proper¡¡headings¡£
If¡¡a¡¡plane¡¡is¡¡placed¡¡at¡¡an¡¡angle¡¡of¡¡45¡¡degrees
the¡¡lift¡¡and¡¡the¡¡drift¡¡are¡¡the¡¡same£»¡¡assumedly£»¡¡because£»
if¡¡we¡¡were¡¡to¡¡measure¡¡the¡¡power¡¡required
to¡¡drive¡¡it¡¡forwardly£»¡¡it¡¡would¡¡be¡¡found¡¡to¡¡equal
the¡¡weight¡¡necessary¡¡to¡¡lift¡¡it¡£¡¡That¡¡is£»¡¡suppose
we¡¡should¡¡hold¡¡a¡¡plane¡¡at¡¡that¡¡angle¡¡with¡¡a¡¡heavy
wind¡¡blowing¡¡against¡¡it£»¡¡and¡¡attach¡¡two¡¡pairs¡¡of
scales¡¡to¡¡the¡¡plane£»¡¡both¡¡would¡¡show¡¡the¡¡same
pull¡£
_Fig¡£¡¡6¡£¡¡Measuring¡¡Lift¡¡and¡¡Drift_
MEASURING¡¡LIFT¡¡AND¡¡DRIFT¡£In¡¡Fig¡£¡¡6£»¡¡A¡¡is¡¡the
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to¡¡hold¡¡up¡¡the¡¡plane£»¡¡the¡¡scales¡¡will¡¡show¡¡the¡¡same
pull£»¡¡neglecting£»¡¡of¡¡course£»¡¡the¡¡weight¡¡of¡¡the
plane¡¡itself¡£
PRESSURE¡¡AT¡¡DIFFERENT¡¡ANGLES¡£What¡¡every
one¡¡wants¡¡to¡¡know£»¡¡and¡¡a¡¡subject¡¡on¡¡which¡¡a
great¡¡deal¡¡of¡¡experiment¡¡and¡¡time¡¡have¡¡been¡¡expended£»
is¡¡to¡¡determine¡¡what¡¡the¡¡pressures¡¡are¡¡at
the¡¡different¡¡angles¡¡between¡¡the¡¡horizontal£»¡¡and
laws¡¡have¡¡been¡¡formulated¡¡which¡¡enable¡¡the¡¡pressures
to¡¡be¡¡calculated¡£
DIFFERENCE¡¡BETWEEN¡¡LIFT¡¡AND¡¡DRIFT¡¡IN¡¡MOTION¡£The
first¡¡observation¡¡is¡¡directed¡¡to¡¡the¡¡differences
that¡¡exist¡¡between¡¡the¡¡lift¡¡and¡¡drift£»
when¡¡the¡¡plane¡¡is¡¡placed¡¡at¡¡an¡¡angle¡¡of¡¡less¡¡than
45¡¡degrees¡£¡¡A¡¡machine¡¡weighing¡¡1000¡¡pounds
has¡¡always¡¡the¡¡same¡¡lift¡£¡¡Its¡¡mass¡¡does¡¡not
change¡£¡¡Remember£»¡¡now£»¡¡we¡¡allude¡¡to¡¡its¡¡mass£»
or¡¡density¡£
We¡¡are¡¡not¡¡now¡¡referring¡¡to¡¡weight£»¡¡because
that¡¡must¡¡be¡¡taken¡¡into¡¡consideration£»¡¡in¡¡the
problem¡£¡¡As¡¡heretofore¡¡stated£»¡¡when¡¡an¡¡object
moves¡¡horizontally£»¡¡it¡¡has¡¡less¡¡weight¡¡than¡¡when
at¡¡rest¡£¡¡If¡¡it¡¡had¡¡the¡¡same¡¡weight¡¡it¡¡would¡¡not
move¡¡forwardly£»¡¡but¡¡come¡¡to¡¡rest¡£
When¡¡in¡¡motion£»¡¡therefore£»¡¡while¡¡the¡¡lift£»¡¡so
far¡¡as¡¡its¡¡mass¡¡is¡¡concerned£»¡¡does¡¡not¡¡change£»¡¡the
drift¡¡does¡¡decrease£»¡¡or¡¡the¡¡forward¡¡pull¡¡is¡¡less
than¡¡when¡¡at¡¡45¡¡degrees£»¡¡and¡¡the¡¡decrease¡¡is¡¡less
and¡¡less¡¡until¡¡the¡¡plane¡¡assumes¡¡a¡¡horizontal¡¡position£»
where¡¡it¡¡is¡¡absolutely¡¡nil£»¡¡if¡¡we¡¡do¡¡not¡¡consider
head¡¡resistance¡£
TABLES¡¡OF¡¡LIFT¡¡AND¡¡DRIFT¡£All¡¡tables¡¡of¡¡Lift
and¡¡Drift¡¡consider¡¡only¡¡the¡¡air¡¡pressures¡£¡¡They
do¡¡not¡¡take¡¡into¡¡account¡¡the¡¡fact¡¡that¡¡momentum
takes¡¡an¡¡important¡¡part¡¡in¡¡the¡¡translation¡¡of¡¡an
object£»¡¡like¡¡a¡¡flying¡¡machine¡£
A¡¡mass¡¡of¡¡material£»¡¡weighing¡¡1000¡¡pounds¡¡while
at¡¡rest£»¡¡sets¡¡up¡¡an¡¡enormous¡¡energy¡¡when¡¡moving
through¡¡the¡¡air¡¡at¡¡fifty£»¡¡seventy¡five£»¡¡or¡¡one¡¡hundred
miles¡¡an¡¡hour¡£¡¡At¡¡the¡¡latter¡¡speed¡¡the¡¡movement
is¡¡about¡¡160¡¡feet¡¡per¡¡second£»¡¡a¡¡motion¡¡which
is¡¡nearly¡¡sufficient¡¡to¡¡maintain¡¡it¡¡in¡¡horizontal
flight£»¡¡independently¡¡of¡¡any¡¡plane¡¡surface¡£
Such¡¡being¡¡the¡¡case£»¡¡why¡¡take¡¡into¡¡account¡¡only
the¡¡angle¡¡of¡¡the¡¡plane£¿¡¡It¡¡is¡¡no¡¡wonder¡¡that
aviators¡¡have¡¡not¡¡been¡¡able¡¡to¡¡make¡¡the¡¡theoretical
considerations¡¡and¡¡the¡¡practical¡¡demonstrations
agree¡£
WHY¡¡TABLES¡¡OF¡¡LIFT¡¡AND¡¡DRIFT¡¡ARE¡¡WRONG¡£
A¡¡little¡¡reflection¡¡will¡¡show¡¡why¡¡such¡¡tables¡¡are
wrong¡£¡¡They¡¡were¡¡prepared¡¡by¡¡using¡¡a¡¡plane
surface¡¡at¡¡rest£»¡¡and¡¡forcing¡¡a¡¡blast¡¡of¡¡air¡¡against
the¡¡plane¡¡placed¡¡at¡¡different¡¡angles£»¡¡and¡¡for¡¡determining
air¡¡pressures£»¡¡this¡¡is£»¡¡no¡¡doubt£»¡¡correct¡£
But¡¡it¡¡does¡¡not¡¡represent¡¡actual¡¡flying¡¡conditions¡£
It¡¡does¡¡not¡¡show¡¡the¡¡conditions¡¡existing
in¡¡an¡¡aeroplane¡¡while¡¡in¡¡flight¡£
To¡¡determine¡¡this£»¡¡short¡¡of¡¡actual¡¡experiments
with¡¡a¡¡machine¡¡in¡¡horizontal¡¡translation£»¡¡is¡¡impossible£»
unless¡¡it¡¡is¡¡done¡¡by¡¡taking¡¡into¡¡account
the¡¡factor¡¡due¡¡to¡¡momentum¡¡and¡¡the¡¡element
attributable¡¡to¡¡the¡¡lift¡¡of¡¡the¡¡plane¡¡itself¡¡due¡¡to¡¡its
impact¡¡against¡¡the¡¡atmosphere¡£
LANGLEY'S¡¡LAW¡£The¡¡law¡¡enunciated¡¡by
Langley¡¡is£»¡¡that¡¡the¡¡greater¡¡the¡¡speed¡¡the¡¡less¡¡the
power¡¡required¡¡to¡¡propel¡¡it¡£¡¡Water¡¡as¡¡a¡¡propelling
medium¡¡has¡¡over¡¡seven¡¡hundred¡¡times
more¡¡force¡¡than¡¡air¡£¡¡A¡¡vessel¡¡having£»¡¡for¡¡instance£»
twenty¡¡horse¡¡power£»¡¡and¡¡a¡¡speed¡¡of¡¡ten
miles¡¡per¡¡hour£»¡¡would¡¡require¡¡four¡¡times¡¡that
power¡¡to¡¡drive¡¡it¡¡through¡¡the¡¡water¡¡at¡¡double¡¡the
speed¡£¡¡The¡¡power¡¡is¡¡as¡¡the¡¡square¡¡of¡¡the¡¡speed¡£
With¡¡air¡¡the¡¡conditions¡¡are¡¡entirely¡¡different¡£
The¡¡boat¡¡submergence¡¡in¡¡the¡¡water¡¡is¡¡practically
the¡¡same£»¡¡whether¡¡going¡¡ten¡¡or¡¡twenty¡¡miles¡¡an
hour¡£¡¡The¡¡head¡¡resistance¡¡is¡¡the¡¡same£»¡¡substantially£»
at¡¡all¡¡times¡¡in¡¡the¡¡case¡¡of¡¡the¡¡boat£»¡¡with¡¡the
flying¡¡machine¡¡the¡¡resistance¡¡of¡¡its¡¡sustaining
surfaces¡¡decreases¡£
Without¡¡going¡¡into¡¡a¡¡too¡¡technical¡¡description
of¡¡the¡¡reasoning¡¡which¡¡led¡¡to¡¡the¡¡discovery¡¡of¡¡the
law¡¡of¡¡air¡¡pressures£»¡¡let¡¡us¡¡try¡¡and¡¡understand
it¡¡by¡¡examining¡¡the¡¡diagram£»¡¡Fig¡£¡¡7¡£
A¡¡represents¡¡a¡¡plane¡¡at¡¡an¡¡angle¡¡of¡¡45¡¡degrees£»
moving¡¡forwardly¡¡into¡¡the¡¡atmosphere¡¡in¡¡the
direction¡¡of¡¡the¡¡arrows¡¡B¡£¡¡The¡¡measurement
across¡¡the¡¡plane¡¡vertically£»¡¡along¡¡the¡¡line¡¡B£»
which¡¡is¡¡called¡¡the¡¡sine¡¡of¡¡the¡¡angle£»¡¡represents
the¡¡surface¡¡impact¡¡of¡¡air¡¡against¡¡the¡¡plane¡£
In¡¡Fig¡£¡¡8¡¡the¡¡plane¡¡is¡¡at¡¡an¡¡angle¡¡of¡¡27¡¡degrees£»
which¡¡makes¡¡the¡¡distance¡¡in¡¡height¡¡across¡¡the¡¡line
C¡¡just¡¡one¡half¡¡the¡¡length¡¡of¡¡the¡¡line¡¡B¡¡of¡¡Fig¡£¡¡7£»
hence¡¡the¡¡surface¡¡impact¡¡of¡¡the¡¡air¡¡is¡¡one¡half¡¡that
of¡¡Fig¡£¡¡7£»¡¡and¡¡the¡¡drift¡¡is¡¡correspondingly¡¡decreased¡£
_Fig¡£¡¡7¡£¡¡Equal¡¡Lift¡¡and¡¡Drift¡¡in¡¡Flight¡£_
_Fig¡£¡¡8¡£¡¡Unequal¡¡Lift¡¡and¡¡Drift¡£_
MOVING¡¡PLANES¡¡VS¡£¡¡WINDS¡£In¡¡this¡¡way¡¡Boisset£»
Duchemin£»¡¡Langley£»¡¡and¡¡others£»¡¡determined
the¡¡comparative¡¡drift£»¡¡and¡¡those¡¡results¡¡have¡¡been
largely¡¡relied¡¡upon¡¡by¡¡aviators£»¡¡and¡¡assumed¡¡to
be¡¡correct¡¡when¡¡applied¡¡to¡¡flying¡¡machines¡£
That¡¡they¡¡are¡¡not¡¡correct¡¡has¡¡been¡¡proven¡¡by
the¡¡Wrights¡¡and¡¡others£»¡¡the¡¡only¡¡explanation¡¡being
that¡¡some¡¡errors¡¡had¡¡been¡¡made¡¡in¡¡the¡¡calculations£»
or¡¡that¡¡aviators¡¡were¡¡liable¡¡to¡¡commit¡¡errors
in¡¡observing¡¡the¡¡true¡¡angle¡¡of¡¡the¡¡planes
while¡¡in¡¡flight¡£
MOMENTUM¡¡NOT¡¡CONSIDERED¡£The¡¡great¡¡factor
of¡¡momentum¡¡has¡¡been¡¡entirely¡¡ignored£»¡¡and¡¡it¡¡is
our¡¡desire¡¡to¡¡press¡¡the¡¡important¡¡point¡¡on¡¡those
who¡¡begin¡¡to¡¡study¡¡the¡¡question¡¡of¡¡flying¡¡machines¡£
THE¡¡FLIGHT¡¡OF¡¡BIRDS¡£Volumes¡¡have¡¡been
written¡¡concerning¡¡observations¡¡on¡¡the¡¡flight¡¡of
birds¡£¡¡The¡¡marvel¡¡has¡¡been¡¡why¡¡do¡¡soaring¡¡birds
maintain¡¡themselves¡¡in¡¡space¡¡without¡¡flapping
their¡¡wings¡£¡¡In¡¡fact£»¡¡it¡¡is¡¡a¡¡much¡¡more¡¡remarkable
thing¡¡to¡¡contemplate¡¡why¡¡birds¡¡which¡¡depend
on¡¡flapping¡¡wings¡¡can¡¡fly¡£
THE¡¡DOWNWARD¡¡BEAT¡£It¡¡is¡¡argued¡¡that¡¡the
downward¡¡beat¡¡of¡¡the¡¡wings¡¡is¡¡so¡¡much¡¡more
rapid¡¡than¡¡the¡¡upward¡¡motion£»¡¡that¡¡it¡¡gets¡¡an¡¡action
on¡¡the¡¡air¡¡so¡¡as¡¡to¡¡force¡¡the¡¡body¡¡upwardly¡£
This¡¡is¡¡disposed¡¡of¡¡by¡¡the¡¡wing¡¡motion¡¡of¡¡many
birds£»¡¡notoriously¡¡the¡¡crow£»¡¡whose¡¡lazily¡flapping
wings¡¡can¡¡be¡¡readily¡¡followed¡¡by¡¡the¡¡eye£»¡¡and¡¡the
difference¡¡in¡¡movement£»¡¡if¡¡any£»¡¡is¡¡not¡¡perceptible¡£
THE¡¡CONCAVED¡¡WING¡£It¡¡is¡¡also¡¡urged¡¡that¡¡the
concave¡¡on¡¡the¡¡under¡¡side¡¡of¡¡the¡¡wing¡¡gives¡¡the
quality¡¡of¡¡lift¡£¡¡Certain¡¡kinds¡¡of¡¡beetles£»¡¡and¡¡particularly
the¡¡common¡¡house¡¡fly£»¡¡disprove¡¡that¡¡theory£»
as¡¡their¡¡wings¡¡are¡¡perfectly¡¡flat¡£
FEATHER¡¡STRUCTURE¡¡CONSIDERED¡£Then¡¡the
feather¡¡argument¡¡is¡¡advanced£»¡¡which¡¡seeks¡¡to
show¡¡that¡¡as¡¡each¡¡wing¡¡is¡¡made¡¡up¡¡of¡¡a¡¡plurality
of¡¡feathers£»¡¡overlapping¡¡each¡¡other£»¡¡they¡¡form¡¡a
sort¡¡of¡¡a¡¡valved¡¡surface£»¡¡opening¡¡so¡¡as¡¡to¡¡permit
air¡¡to¡¡pass¡¡through¡¡them¡¡during¡¡the¡¡period¡¡of
their¡¡upward¡¡movement£»¡¡and¡¡closing¡¡up¡¡as¡¡the
wing¡¡descends¡£
It¡¡is¡¡difficult¡¡to¡¡perform¡¡this¡¡experiment¡¡with
wings£»¡¡so¡¡as¡¡to¡¡show¡¡such¡¡an¡¡individual¡¡feather
movement¡£¡¡It¡¡is¡¡certain¡¡that¡¡there¡¡is¡¡nothing¡¡in
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connection¡¡which¡¡points¡¡to¡¡any¡¡individual¡¡feather
movement£»¡¡and¡¡our¡¡observation¡¡is£»¡¡that¡¡each
feather¡¡is¡¡entirely¡¡too¡¡rigid¡¡to¡¡permit¡¡of¡¡such¡¡an
opening¡¡up¡¡between¡¡them¡£
It¡¡is¡¡obvious¡¡that¡¡the¡¡wing¡¡is¡¡built¡¡up¡¡in¡¡that
way¡¡for¡¡an¡¡entirely¡¡different¡¡reason¡£¡¡Soaring
birds£»¡¡which¡¡do¡¡not¡¡depend¡¡on¡¡the¡¡flapping¡¡motion£»
have¡¡the¡¡same¡¡overlapping¡¡feather¡¡formation¡£
WEBBED¡¡WINGS¡£Furthermore£»¡¡there¡¡are¡¡numerous
flying¡¡creatures¡¡which¡¡do¡¡not¡¡have
feathered¡¡wings£»¡¡but¡¡web¡like¡¡structures£»¡¡or¡¡like¡¡the
house¡¡fly£»¡¡in¡¡one¡¡continuous¡¡and¡¡unbroken
plane¡£
That¡¡birds¡¡which¡¡fly¡¡with¡¡flapping¡¡wings¡¡derive
their¡¡support¡¡from¡¡the¡¡air£»¡¡is¡¡undoubtedly¡¡true£»
and¡¡that¡¡the¡¡lift¡¡produced¡¡is¡¡due£»¡¡not¡¡to¡¡the¡¡form£»
or¡¡shape£»¡¡or¡¡area¡¡of¡¡the¡¡wing£»¡¡is¡¡also¡¡beyond¡¡question¡£
The¡¡records¡¡show¡¡that¡¡every¡¡conceivable
type¡¡of¡¡outlined¡¡structure¡¡is¡¡used¡¡by¡¡nature£»¡¡the
material¡¡and¡¡texture¡¡of¡¡the¡¡wings¡¡themselves¡¡differ
to¡¡such¡¡a¡¡degree¡¡that¡¡there¡¡is¡¡absolutely¡¡no
similarity£»¡¡some¡¡have¡¡concaved¡¡under¡¡surfaces£»
and¡¡others¡¡have¡¡not£»¡¡some¡¡fly¡¡with¡¡rapidly¡¡beating
wings£»¡¡and¡¡others¡¡with¡¡slow¡¡and¡¡measured
movements£»¡¡many¡¡of¡¡them¡¡fly¡¡with¡¡equal¡¡facility
without¡¡flapping¡¡movements£»¡¡and¡¡the¡¡proportions
of¡¡weight¡¡to¡¡wing¡¡surface¡¡vary¡¡to¡¡such¡¡an¡¡extent
that¡¡it¡¡is¡¡utterly¡¡impossible¡¡to¡¡use¡¡such¡¡data¡¡as¡¡a
guide¡¡in¡¡calculating¡¡what¡¡the¡¡proper¡¡surface
should¡¡be¡¡for¡¡a¡¡correct¡¡flying¡¡machine¡£
THE¡¡ANGLE¡¡OF¡¡MOVEMENT¡£How£»¡¡then£»¡¡it¡¡may
be¡¡asked£»¡¡do¡¡they¡¡get¡¡their¡¡support£¿¡¡There¡¡must
be¡¡something£»¡¡in¡¡all¡¡this¡¡variety¡¡and¡¡diversity¡¡of
form£»¡¡of¡¡motion£»¡¡and¡¡of¡¡characteristics£»¡¡which
supplies¡¡the¡¡true¡¡answer¡£¡¡The¡¡answer¡¡lies¡¡in¡¡the
angle¡¡of¡¡movement¡¡of¡¡every¡¡wing¡¡motion£»¡¡which
is¡¡at¡¡the¡¡control¡¡of¡¡
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