Engineering Wonders of the World
Volume III
Forfatter: Archibald Williams
År: 1945
Serie: Engineering Wonders of the World
Forlag: Thomas Nelson and Sons
Sted: London, Edinburgh, Dublin and New York
Sider: 407
UDK: 600 eng- gl
With 424 Illustrations, Maps, and Diagrams
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8
ENGINEERING WONDERS OF THE WORLD.
travel, which
motive force.
The Design
of a Flying-
Machine.
takes to earth
in turn is dependent on the
When travelling horizontally
the machine is practically con-
stantly climbing a slope equal
to that of the natural gliding
angle of descent which it
when the engines are stopped.
So that in effect the power required to sustain
it must be equivalent to the extra power
(above that developed on the level) needed
to drive a motor car of equal weight at an
Fig. 4.
An aeroplane travelling horizontally has, weight for weight,
to exert as much force to support itself as is required to
propel a motor car up an incline having a gradient equal to
the gliding angle of the aeroplane.
equal speed up an incline equal to the gliding
angle of the aeroplane, and, in addition, to
overcome the air resistance and skin friction
of all parts of the machine. The first factor,
the aerodynamic resistance, is decreased rela-
tively to the lift by higher speed, since, as
we have seen already, the lift increases with
the speed ; the second factor, head resistance,
increases in the same ratio, as the square of the
velocity. Hence one factor tends to counter-
balance the other. It follows from this that
for any one machine there is a certain speed
at which, it will support itself and travel from
one point to another most economically—that
is, with the least expenditure of force. To
improve the speed without increasing the
power or altering the weight, the head resist-
ance must be diminished, or the design of the
decks improved and the inclination reduced.
Should the designer elect rather to decrease
the supporting area without increasing engine
power, he would be compelled to increase also
the inclination of the decks—and with it the
“ drift ”—which would tend to diminish speed
—a very undesirable alternative.
An aeroplane must travel at a certain speed
to support itself at all. To enable it to rise,
the power must be increased. Merely to point
an elevating rudder upwards will not suffice,
as the increase of inclination will increase the
“ drift ” of the supporting surfaces and slow
the machine. At the great meeting at Rheims
the struggles of competitors to reach the
highest altitude—the winner rose but slightly
more than 500 feet—proved the difficulty of
increasing the steepness of ascent over and
above the angle at which the machine must
take to maintain a horizontal path.
An efficient machine has a gliding angle
of about 1 in 8; that is, when influenced by
gravity alone, it will descend one foot for
every 8 feet it progresses.
The power needed to propel the machine on
a horizontal course is that required to, say,
roll a ball of equal weight up a frictionless
incline of 1 in 8, and also to overcome fric-
tional air resistance. To maintain stability
a speed of from 35 to 40 miles an hour is
required.
Let us assume that the machine weighs
500 lbs. with pilot, and that it has to travel
at 40 miles per hour to sustain itself. Every
second 500 lbs. will be lifted
(in effect) |th of 60 feet = 7| P°wer needed
feet. To effect this will re- A ^°F ,an
Aeroplane,
quire about 7| horse-power.
In order to rise, at least one-fifth more power
must be added, making 9 horse-power in all.
Owing to loss of power in transmission and to
screw inefficiency, a further 50 per cent, more
power is required, and to overcome air fric-
tion and resistance we must allow a further
30 per cent. The engine for a 500 lb. load
should therefore develop some 16 horse-power,
or about 1 horse-power for every 31 lbs. of
weight.