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°´¼üÅÌÉÏ·½Ïò¼ü ¡û »ò ¡ú ¿É¿ìËÙÉÏÏ·­Ò³£¬°´¼üÅÌÉ쵀 Enter ¼ü¿É»Øµ½±¾ÊéĿ¼ҳ£¬°´¼üÅÌÉÏ·½Ïò¼ü ¡ü ¿É»Øµ½±¾Ò³¶¥²¿£¡

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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