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size of the skipper; relative to its weight; and the

other is its speed。 If the speed is slow it will

quickly wend its way to the earth in a gradual

curve。 This curved line is called its trajectory。

If it is not very large diametrically; in proportion

to its weight; it will also make a gradual curve in

descending; without 〃skimming〃 up and down

in its flight。



SHAPE AND SPEED。It has been observed; also;

that a round ball; or an object not flattened out;

will make a regular curved path; whatever the

speed may be。



It may be assumed; therefore; that the shape

alone does not account for this sinuous motion;

but that speed is the element which accounts for

it。 Such being the case it may be well to inquire

into the peculiar action which causes a skipper

to dart up and down; and why the path thus

formed grows more and more accentuated as the

speed increases。



As will be more fully described in a later chapter;

the impact of air against a moving body does

not increase in proportion to its speed; but in the

ratio of the square of the speed。



WHAT SQUARE OF THE SPEED MEANS。In mathematics

a figure is squared when it is multiplied

by itself。 Thus; 4 X 4= 16; 5 X 5 = 25; and so

on; so that 16 is the square of 4; and 25 the square

of 5。 It has been found that a wind moving at the

speed of 20 miles an hour has a striking or pushing

force of 2 pounds on every square foot of surface。



If the wind travels twice as fast; or 40 miles

an hour; the pushing force is not 4 pounds; but

8 pounds。 If the speed is 60 miles an hour the

pushing force increases to 18 pounds。



ACTION OF A SKIPPER。When the skipper leaves

the hands of the thrower it goes through the air

in such a way that its fiat surface is absolutely

on a line with the direction in which it is projected。



At first it moves through the air solely by force

of the power which impels it; and does not in any

way depend on the air to hold it up。 See Fig。

1; in which A represents the line of projection;

and B the disk in its flight。



_Fig。 11。 A Skipper in Flight。_



After it has traveled a certain distance; and

the force decreases; it begins to descend; thus describing

the line C; Fig。 1; the disk B; in this case

descending; without changing its position; which

might be described by saying that it merely settles

down to the earth without changing its plane。



The skipper still remains horizontal; so that as

it moves toward the earth its flat surface; which

is now exposed to the action of the air; meets

with a resistance; and this changes the angle of

the disk; so that it will not be horizontal。 Instead

it assumes the position as indicated at D;

and this impinging effect against the air causes

the skipper to move upwardly along the line E;

and having reached a certain limit; as at; say E;

it automatically again changes its angle and moves

downwardly along the path F; and thus continues

to undulate; more or less; dependent on the combined

action of the power and weight; or momentum;

until it reaches the earth。



It is; therefore; clear that the atmosphere has

an action on a plane surface; and that the extent

of the action; to sustain it in flight; depends on two

things; surface and speed。



Furthermore; the greater the speed the less the

necessity for surface; and that for gliding purposes

speed may be sacrificed; in a large measure;

where there is a large surface。



This very action of the skipper is utilized by

the aviator in volplaning;that is; where the

power of the engine is cut off; either by accident;

or designedly; and the machine descends to the

earth; whether in a long straight glide; or in a

great circle。



As the machine nears the earth it is caused to

change the angle of flight by the control mechanism

so that it will dart upwardly at an angle; or downwardly;

and thus enable the pilot to sail to another

point beyond where he may safely land。

This changing the course of the machine so that

it will glide upwardly; means that the incidence

of the planes has been changed to a positive

angle。



ANGLE OF INCIDENCE。In aviation this is a term

given to the position of a plane; relative to the

air against which it impinges。 If; for instance;

an aeroplane is moving through the air with the

front margin of the planes higher than their rear

margins; it is said to have the planes at a positive

angle of incidence。 If the rear margins are

higher than the front; then the planes have a negative

angle of incidence。



The word incidence really means; a falling

upon; or against; and it will be seen; therefore;

that the angle of incidence means the tilt of the

planes in relation to the air which strikes it。



Having in view; therefore; that the two qualities;

namely; speed and surface; bear an intimate

relation with each other; it may be understood

wherein mechanical flight is supposed to be analogous

to bird flight。



SPEED AND SURFACE。Birds which poise in the

air; like the humming bird; do so because they

beat their wings with great rapidity。 Those

which soar; as stated; can do so only by moving

through the atmosphere rapidly; or by having a

large wing spread relative to the weight。 It will

thus be seen that speed and surface become the

controlling factors in flight; and that while the

latter may be entirely eliminated from the problem;

speed is absolutely necessary under any and

all conditions。



By speed in this connection is not meant high

velocity; but that a movement; produced by power

expressed in some form; is the sole and most necessary

requisite to movement through the air with

all heavier…than…air machines。



If sufficient power can be applied to an aeroplane;

surface is of no consequence; shape need

not be considered; and any sort of contrivance

will move through the air horizontally。



CONTROL OF THE DIRECTION OF FLIGHT。But the

control of such a body; when propelled through

space by force alone; is a different matter。 To

change the machine from a straight path to a

curved one; means that it must be acted upon by

some external force。



We have explained that power is something

which is inherent in the thing itself。 Now; in order

that there may be a change imparted to a

moving mass; advantage must be taken of the medium

through which it moves;the atmosphere。



VERTICAL CONTROL PLANES。If vertically…arranged

planes are provided; either fore or aft of

the machine; or at both ends; the angles of incidence

may be such as to cause the machine to

turn from its straight course。



In practice; therefore; since it is difficult to supply

sufficient power to a machine to keep it in motion

horizontally; at all times; aeroplanes are provided

with supporting surfaces; and this aid in

holding it up grows less and less as its speed increases。



But; however strong the power; or great the

speed; its control from side to side is not dependent

on the power of the engine; or the speed

at which it travels through the air。



Here the size of the vertical planes; and their

angles; are the only factors to be considered; and

these questions will be considered in their proper

places。









CHAPTER III



THE FORM OR SHAPE OF FLYING MACHINES





EVERY investigator; experimenter; and scientist;

who has given the subject of flight study; proceeds

on the theory that in order to fly man must

copy nature; and make the machine similar to the

type so provided。



THE THEORY OF COPYING NATURE。If such is the

case then it is pertinent to inquire which bird is

the proper example to use for mechanical flight。

We have shown that they differ so radically in

every essential; that what would be correct in one

thing would be entirely wrong in another。



The bi…plane is certainly not a true copy。 The

only thing in the Wright machine which in any

way resembles the bird's wing; is the rounded end

of the planes; and judging from other machines;

which have square ends; this slight similarity does

not contribute to its stability or otherwise help

the structure。



The monoplane; which is much nearer the bird

type; has also sounded wing ends; made not so

much for the purpose of imitating the wing of the

bird; as for structural reasons。



HULLS OF VESSELS。If some marine architect

should come forward and assert that he intended

to follow nature by making a boat with a hull of

the shape or outline of a duck; or other swimming

fowl; he would be laughed at; and justly so; because

the lines of vessels which are most efficient

are not made like those of a duck or other swimming

creatures。



MAN DOES NOT COPY NATURE。Look about you;

and see how many mechanical devices follow the

forms laid down by nature; or in what respect

man uses the types which nature provides in devising

the many inventions which ingenuity has

bro

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