propeller£»¡¡gives¡¡a¡¡pull¡¡of¡¡less¡¡than¡¡eight¡¡pounds
for¡¡every¡¡horse¡¡power¡¡exerted¡£
FOOT¡¡POUNDS¡£The¡¡work¡¡produced¡¡by¡¡a¡¡motor
is¡¡calculated¡¡in¡¡Foot¡¡Pounds¡£¡¡If¡¡550¡¡pounds
should¡¡be¡¡lifted£»¡¡or¡¡pulled£»¡¡one¡¡foot¡¡in¡¡one¡¡second
of¡¡time£»¡¡it¡¡would¡¡be¡¡equal¡¡to¡¡one¡¡horse¡¡power¡£
But¡¡here¡¡we¡¡have¡¡a¡¡case¡¡where¡¡one¡¡horse¡¡power
pulls¡¡only¡¡eight¡¡pounds£»¡¡a¡¡distance¡¡of¡¡one¡¡foot
within¡¡one¡¡second¡¡of¡¡time£»¡¡and¡¡we¡¡have¡¡utilized
less¡¡than¡¡one¡¡sixty¡fifth¡¡of¡¡the¡¡actual¡¡energy¡¡produced¡£
SMALL¡¡AMOUNT¡¡OF¡¡POWER¡¡AVAILABLE¡£This¡¡is
due¡¡to¡¡two¡¡things£º¡¡First£»¡¡the¡¡exceeding¡¡lightness
of¡¡the¡¡air£»¡¡and¡¡its¡¡great¡¡elasticity£»¡¡and£»¡¡second£»
the¡¡difficulty¡¡of¡¡making¡¡a¡¡surface¡¡which£»¡¡when¡¡it
strikes¡¡the¡¡air£»¡¡will¡¡get¡¡a¡¡sufficient¡¡grip¡¡to¡¡effect
a¡¡proper¡¡pull¡£
Now¡¡it¡¡must¡¡be¡¡obvious£»¡¡that¡¡where¡¡only¡¡such
a¡¡small¡¡amount¡¡of¡¡energy¡¡can¡¡be¡¡made¡¡available£»
in¡¡a¡¡medium¡¡as¡¡elusive¡¡as¡¡air£»¡¡the¡¡least¡¡change£»¡¡or
form£»¡¡of¡¡the¡¡propeller£»¡¡must¡¡have¡¡an¡¡important
bearing¡¡in¡¡the¡¡general¡¡results¡£
HIGH¡¡PROPELLER¡¡SPEED¡¡IMPORTANT¡£Furthermore£»
all¡¡things¡¡considered£»¡¡high¡¡speed¡¡is¡¡important
in¡¡the¡¡rotation¡¡of¡¡the¡¡propeller£»¡¡up¡¡to¡¡a¡¡certain
point£»¡¡beyond¡¡which¡¡the¡¡pull¡¡decreases¡¡in
proportion¡¡to¡¡the¡¡speed¡£¡¡High¡¡speed¡¡makes¡¡a
vacuum¡¡behind¡¡the¡¡blade¡¡and¡¡thus¡¡decreases¡¡the
effective¡¡pull¡¡of¡¡the¡¡succeeding¡¡blade¡£
WIDTH¡¡AND¡¡PITCH¡¡OF¡¡BLADES¡£If¡¡the¡¡blade¡¡is
too¡¡wide¡¡the¡¡speed¡¡of¡¡the¡¡engine¡¡is¡¡cut¡¡down¡¡to¡¡a
point¡¡where¡¡it¡¡cannot¡¡exert¡¡the¡¡proper¡¡energy£»¡¡if
the¡¡pitch¡¡is¡¡very¡¡small¡¡then¡¡it¡¡must¡¡turn¡¡further¡¡to
get¡¡the¡¡same¡¡thrust£»¡¡so¡¡that¡¡the¡¡relation¡¡of¡¡diameter£»
pitch¡¡and¡¡speed£»¡¡are¡¡three¡¡problems¡¡far¡¡from
being¡¡solved¡£
It¡¡may¡¡be¡¡a¡¡question¡¡whether¡¡the¡¡propeller¡¡form£»
as¡¡we¡¡now¡¡know¡¡it£»¡¡is¡¡anything¡¡like¡¡the¡¡true¡¡or
ultimate¡¡shape£»¡¡which¡¡will¡¡some¡¡day¡¡be¡¡discovered¡£
EFFECT¡¡OF¡¡INCREASING¡¡PROPELLER¡¡PULL¡£If¡¡the
present¡¡pull¡¡could¡¡be¡¡doubled¡¡what¡¡a¡¡wonderful
revolution¡¡would¡¡take¡¡place¡¡in¡¡aerial¡¡navigation£»
and¡¡if¡¡it¡¡were¡¡possible¡¡to¡¡get¡¡only¡¡a¡¡quarter¡¡of
the¡¡effective¡¡pull¡¡of¡¡an¡¡engine£»¡¡the¡¡results¡¡would
be¡¡so¡¡stupendous¡¡that¡¡the¡¡present¡¡method¡¡of¡¡flying
would¡¡seem¡¡like¡¡child's¡¡play¡¡in¡¡comparison¡£
It¡¡is¡¡in¡¡this¡¡very¡¡matter£»the¡¡application¡¡of
the¡¡power£»¡¡that¡¡the¡¡bird£»¡¡and¡¡other¡¡flying¡¡creatures
so¡¡far¡¡excel¡¡what¡¡man¡¡has¡¡done¡£¡¡Calculations
made¡¡with¡¡birds¡¡as¡¡samples£»¡¡show¡¡that¡¡many
of¡¡them¡¡are¡¡able¡¡to¡¡fly¡¡with¡¡such¡¡a¡¡small¡¡amount
of¡¡power¡¡that£»¡¡if¡¡the¡¡same¡¡energy¡¡should¡¡be¡¡applied
to¡¡a¡¡flying¡¡machine£»¡¡it¡¡would¡¡scarcely¡¡drive
it¡¡along¡¡the¡¡ground¡£
DISPOSITION¡¡OF¡¡THE¡¡PLANES¡£The¡¡second¡¡factor
is¡¡the¡¡disposition¡¡or¡¡arrangement¡¡of¡¡the¡¡planes
with¡¡relation¡¡to¡¡the¡¡weight¡£¡¡Let¡¡us¡¡illustrate¡¡this
with¡¡a¡¡concrete¡¡example£º
We¡¡have¡¡an¡¡aeroplane¡¡with¡¡a¡¡sustaining¡¡surface
of¡¡300¡¡square¡¡feet¡¡which¡¡weighs¡¡900¡¡pounds£»
or¡¡30¡¡pounds¡¡per¡¡square¡¡foot¡¡of¡¡surface¡£
DIFFERENT¡¡SPEEDS¡¡WITH¡¡SAME¡¡POWER¡£Now£»¡¡we
may¡¡be¡¡able¡¡to¡¡do¡¡two¡¡things¡¡with¡¡an¡¡airship¡¡under
those¡¡conditions¡£¡¡It¡¡may¡¡be¡¡propelled¡¡through
the¡¡air¡¡thirty¡¡miles¡¡an¡¡hour£»¡¡or¡¡sixty¡¡miles£»¡¡with
the¡¡expenditure¡¡of¡¡the¡¡same¡¡power¡£
An¡¡automobile£»¡¡if¡¡propelled¡¡at¡¡sixty£»¡¡instead¡¡of
thirty¡¡miles¡¡an¡¡hour£»¡¡would¡¡require¡¡an¡¡additional
power¡¡in¡¡doing¡¡so£»¡¡but¡¡an¡¡airship¡¡acts¡¡differently£»
within¡¡certain¡¡limitations¡£
When¡¡it¡¡is¡¡first¡¡set¡¡in¡¡motion¡¡its¡¡effective¡¡pull
may¡¡not¡¡be¡¡equal¡¡to¡¡four¡¡pounds¡¡for¡¡each¡¡horse
power£»¡¡due¡¡to¡¡the¡¡slow¡¡speed¡¡of¡¡the¡¡propeller£»¡¡and
also¡¡owing¡¡to¡¡the¡¡great¡¡angle¡¡of¡¡incidence¡¡which
resists¡¡the¡¡forward¡¡movement¡¡of¡¡the¡¡ship¡£
INCREASE¡¡OF¡¡SPEED¡¡ADDS¡¡TO¡¡RESISTANCE¡£Finally£»
as¡¡speed¡¡increases£»¡¡the¡¡angle¡¡of¡¡the¡¡planes
decrease£»¡¡resistance¡¡is¡¡less£»¡¡and¡¡up¡¡to¡¡a¡¡certain
point¡¡the¡¡pull¡¡of¡¡the¡¡propeller¡¡increases£»¡¡but¡¡beyond
that¡¡the¡¡vacuum¡¡behind¡¡the¡¡blades¡¡becomes
so¡¡great¡¡as¡¡to¡¡bring¡¡down¡¡the¡¡pull£»¡¡and¡¡there¡¡is
thus¡¡a¡¡balance£»a¡¡sort¡¡of¡¡mutual¡¡governing¡¡motion
which£»¡¡together£»¡¡determine¡¡the¡¡ultimate¡¡speed
of¡¡the¡¡aeroplane¡£
HOW¡¡POWER¡¡DECREASES¡¡WITH¡¡SPEED¡£If¡¡now£»
with¡¡the¡¡same¡¡propeller£»¡¡the¡¡speed¡¡should¡¡be
doubled£»¡¡the¡¡ship¡¡would¡¡go¡¡no¡¡faster£»¡¡because¡¡the
bite¡¡of¡¡the¡¡propeller¡¡on¡¡the¡¡air¡¡would¡¡be¡¡ineffective£»
hence¡¡it¡¡will¡¡be¡¡seen¡¡that¡¡it¡¡is¡¡not¡¡the¡¡amount
of¡¡power¡¡in¡¡itself£»¡¡that¡¡determines¡¡the¡¡speed£»¡¡but
the¡¡shape¡¡of¡¡the¡¡propeller£»¡¡which¡¡must¡¡be¡¡so¡¡made
that¡¡it¡¡will¡¡be¡¡most¡¡effective¡¡at¡¡the¡¡speed¡¡required
for¡¡the¡¡ship¡£
While¡¡that¡¡is¡¡true¡¡when¡¡speed¡¡is¡¡the¡¡matter¡¡of
greatest¡¡importance£»¡¡it¡¡is¡¡not¡¡the¡¡case¡¡where¡¡it¡¡is
desired¡¡to¡¡effect¡¡a¡¡launching¡£¡¡In¡¡that¡¡case¡¡the
propeller¡¡must¡¡be¡¡made¡¡so¡¡that¡¡its¡¡greatest¡¡pull
will¡¡be¡¡at¡¡a¡¡slow¡¡speed¡£¡¡This¡¡means¡¡a¡¡wider
blade£»¡¡and¡¡a¡¡greater¡¡pitch£»¡¡and¡¡a¡¡comparatively
greater¡¡pull¡¡at¡¡a¡¡slow¡¡speed¡£
No¡¡such¡¡consideration¡¡need¡¡be¡¡given¡¡to¡¡an¡¡automobile¡£
The¡¡constant¡¡accretion¡¡of¡¡power¡¡adds
to¡¡its¡¡speed¡£¡¡In¡¡flying¡¡machines¡¡the¡¡aviator¡¡must
always¡¡consider¡¡some¡¡companion¡¡factor¡¡which
must¡¡be¡¡consulted¡£
HOW¡¡TO¡¡CALCULATE¡¡THE¡¡POWER¡¡APPLIED¡£In¡¡a
previous¡¡chapter¡¡reference¡¡was¡¡made¡¡to¡¡a¡¡plane
at¡¡an¡¡angle¡¡of¡¡forty¡five¡¡degrees£»¡¡to¡¡which¡¡two
scales¡¡were¡¡attached£»¡¡one¡¡to¡¡get¡¡its¡¡horizontal¡¡pull£»
or¡¡drift£»¡¡and¡¡the¡¡other¡¡its¡¡vertical¡¡pull£»¡¡or¡¡lift¡£
PULLING¡¡AGAINST¡¡AN¡¡ANGLE¡£Let¡¡us¡¡take¡¡the
same¡¡example¡¡in¡¡our¡¡aeroplane¡£¡¡Assuming¡¡that
it¡¡weighs¡¡900¡¡pounds£»¡¡and¡¡that¡¡the¡¡angle¡¡of¡¡the
planes¡¡is¡¡forty¡five¡¡degrees¡£¡¡If¡¡we¡¡suppose¡¡that
the¡¡air¡¡beneath¡¡the¡¡plane¡¡is¡¡a¡¡solid£»¡¡and¡¡frictionless£»
and¡¡a¡¡pair¡¡of¡¡scales¡¡should¡¡draw¡¡it¡¡up¡¡the¡¡incline£»
the¡¡pull¡¡in¡¡doing¡¡so¡¡would¡¡be¡¡one¡half¡¡of¡¡its
weight£»¡¡or¡¡450¡¡pounds¡£
It¡¡must¡¡be¡¡obvious£»¡¡therefore£»¡¡that¡¡its¡¡force£»¡¡in
moving¡¡downwardly£»¡¡along¡¡the¡¡surface¡¡A£»¡¡Fig¡£¡¡60£»
would¡¡be¡¡450¡¡pounds¡£
The¡¡incline¡¡thus¡¡shown¡¡has¡¡thereon¡¡a¡¡weight¡¡B£»
mounted¡¡on¡¡wheels¡¡a£»¡¡and¡¡the¡¡forwardly¡projecting
cord¡¡represents¡¡the¡¡power£»¡¡or¡¡propeller¡¡pull£»
which¡¡must£»¡¡therefore£»¡¡exert¡¡a¡¡force¡¡of¡¡450¡¡pounds
to¡¡keep¡¡it¡¡in¡¡a¡¡stationary¡¡position¡¡against¡¡the¡¡surface
A¡£
In¡¡such¡¡a¡¡case¡¡the¡¡thrust¡¡along¡¡the¡¡diagonal
line¡¡E¡¡would¡¡be¡¡900¡¡pounds£»¡¡being¡¡the¡¡composition
of¡¡the¡¡two¡¡forces¡¡pulling¡¡along¡¡the¡¡lines¡¡D£»¡¡F¡£
THE¡¡HORIZONTAL¡¡AND¡¡VERTICAL¡¡PULL¡£Now¡¡it
must¡¡be¡¡obvious£»¡¡that¡¡if¡¡the¡¡incline¡¡takes¡¡half¡¡of
the¡¡weight¡¡while¡¡it¡¡is¡¡being¡¡drawn¡¡forwardly£»¡¡in
the¡¡line¡¡of¡¡D£»¡¡if¡¡we¡¡had¡¡a¡¡propeller¡¡drawing¡¡along
that¡¡line£»¡¡which¡¡has¡¡a¡¡pull¡¡of¡¡450¡¡pounds£»¡¡it¡¡would
maintain¡¡the¡¡plane¡¡in¡¡flight£»¡¡or£»¡¡at¡¡any¡¡rate¡¡hold
it¡¡in¡¡space£»¡¡assuming¡¡that¡¡the¡¡air¡¡should¡¡be¡¡moving
past¡¡the¡¡plane¡£
_Fig¡£¡¡60¡£¡¡Horizontal¡¡and¡¡Vertical¡¡pull¡£_
The¡¡table¡¡of¡¡lift¡¡and¡¡drift¡¡gives¡¡a¡¡fairly¡¡accurate
method¡¡of¡¡determining¡¡this¡¡factor£»¡¡and¡¡we¡¡refer¡¡to
the¡¡chapter¡¡on¡¡that¡¡subject¡¡which¡¡will¡¡show¡¡the
manner¡¡of¡¡making¡¡the¡¡calculations¡£
THE¡¡POWER¡¡MOUNTING¡£More¡¡time¡¡and¡¡labor
has¡¡been¡¡wasted£»¡¡in¡¡airship¡¡experiments£»¡¡in¡¡poor
motor¡¡mounting£»¡¡than¡¡in¡¡any¡¡other¡¡direction¡£
This¡¡is¡¡especially¡¡true¡¡where¡¡two¡¡propellers¡¡are
used£»¡¡or¡¡where¡¡the¡¡construction¡¡is¡¡such¡¡that¡¡the
propeller¡¡is¡¡mounted¡¡some¡¡distance¡¡from¡¡the¡¡motor¡£
SECURING¡¡THE¡¡PROPELLER¡¡TO¡¡THE¡¡SHAFT¡£But
even¡¡where¡¡the¡¡propeller¡¡is¡¡mounted¡¡on¡¡the¡¡engine
shaft£»¡¡too¡¡little¡¡care¡¡is¡¡exercised¡¡to¡¡fix¡¡it¡¡securely¡£
The¡¡vibratory¡¡character¡¡of¡¡the¡¡mounting
makes¡¡this¡¡a¡¡matter¡¡of¡¡first¡¡importance¡£¡¡If¡¡there
is¡¡a¡¡solid¡¡base¡¡a¡¡poorly¡¡fixed¡¡propeller¡¡will¡¡hold
much¡¡longer£»¡¡but¡¡it¡¡is¡¡the¡¡extreme¡¡vibration¡¡that
causes¡¡the¡¡propeller¡¡fastening¡¡to¡¡give¡¡way¡£
VIBRATIONS¡£If¡¡experimenters¡¡realized¡¡that¡¡an
insecure£»¡¡shaking£»¡¡or¡¡weaving¡¡bed¡¡would¡¡cause¡¡a
loss¡¡of¡¡from¡¡ten¡¡to¡¡fifteen¡¡per¡¡cent¡£¡¡in¡¡the¡¡pull¡¡of
the¡¡propeller£»¡¡more¡¡care¡¡and¡¡attention¡¡would¡¡be
given¡¡to¡¡this¡¡part¡¡of¡¡the¡¡structure¡£
WEAKNESSES¡¡IN¡¡MOUNTING¡£The¡¡general¡¡weaknesses
to¡¡which¡¡attention¡¡should¡¡be¡¡directed¡¡are£»
first£»¡¡the¡¡insecure¡¡attachment¡¡of¡¡the¡¡propeller¡¡to
the¡¡shaft£»¡¡second£»¡¡the¡¡liability¡¡of¡¡the¡¡base¡¡to
weave£»¡¡or¡¡permit¡¡of¡¡a¡¡torsional¡¡movement£»¡¡third£»
improper¡¡bracing¡¡of¡¡the¡¡base¡¡to¡¡the¡¡main¡¡body¡¡of
the¡¡aeroplane¡£
If¡¡the¡¡power¡¡is¡¡transferred¡¡from¡¡the¡¡cylinder
to¡¡the¡¡engine¡¡shaft¡¡where¡¡it¡¡could¡¡deliver¡¡its¡¡output
without¡¡the¡¡use¡¡of¡¡a¡¡propeller£»¡¡it¡¡would¡¡not
be¡¡so¡¡important¡¡to¡¡consider¡¡the¡¡matter¡¡of¡¡vibration£»
but¡¡the¡¡propeller£»¡¡if¡¡permitted¡¡to¡¡vibrate£»
or¡¡dance¡¡about£»¡¡absorbs¡¡a¡¡vast¡¡amount¡¡of¡¡energy£»
while¡¡at¡¡the¡¡same¡¡time¡¡cutting¡¡down¡¡its¡¡effective
pull¡£
Aside¡¡from¡¡this¡¡it¡¡is¡¡dangerous¡¡to¡¡permit¡¡the
slightest¡¡displacement¡¡while¡¡the¡¡engine¡¡is¡¡running¡£
Any¡¡looseness¡¡is¡¡sure¡¡to¡¡grow¡¡worse£»¡¡instead
of¡¡better£»¡¡and¡¡many¡¡accidents¡¡have¡¡been
registered¡¡by¡¡bolts¡¡which¡¡have¡¡come¡¡loose¡¡from
excessive¡¡vibration¡£¡¡It¡¡is¡¡well£»¡¡therefore£»¡¡to¡¡have
each¡¡individual¡¡nut¡¡secured£»¡¡or¡¡properly¡¡locked£»
which¡¡is¡¡a¡¡matter¡¡easily¡¡done£»¡¡and¡¡when¡¡so¡¡secured
there¡¡is¡¡but¡¡little¡¡trouble¡¡in¡¡going¡¡over¡¡the¡¡machine
to¡¡notice¡¡just¡¡how¡¡much¡¡more¡¡the¡¡nut¡¡must
be¡¡taken¡¡up¡¡to¡¡again¡¡make¡¡it¡¡secure¡£
THE¡¡GASOLINE¡¡TANK¡£What¡¡horrid¡¡details¡¡have
been¡¡told¡¡of¡¡the¡¡pilots¡¡who¡¡have¡¡been¡¡burned¡¡to
death¡¡with¡¡the¡¡escaping¡¡gasoline¡¡after¡¡an¡¡accident£»
before¡¡help¡¡arrived¡£¡¡There¡¡is¡¡n
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