'The first subject for consideration is the proportion of surface to
weight, and their combined effect in descending perpendicularly through
the atmosphere. The datum is here based upon the consideration of
safety, for it may sometimes be needful for a living being to drop
passively, without muscular effort. One square foot of sustaining
surface for every pound of the total weight will be sufficient for
security.
'According to Smeaton's table of atmospheric resistances, to produce
a force of one pound on a square foot, the wind must move against the
plane (or which is the same thing, the plane against the wind), at the
rate of twenty-two feet per second, or 1,320 feet per minute, equal to
fifteen miles per hour. The resistance of the air will now balance the
weight on the descending surface, and, consequently, it cannot exceed
that speed. Now, twenty-two feet per second is the velocity acquired at
the end of a fall of eight feet--a height from which a well-knit man or
animal may leap down without much risk of injury. Therefore, if a man
with parachute weigh together 143 lbs., spreading the same number of
square feet of surface contained in a circle fourteen and a half feet
in diameter, he will descend at perhaps an unpleasant velocity, but with
safety to life and limb.
'It is a remarkable fact how this proportion of wing-surface to weight
extends throughout a great variety of the flying portion of the
animal kingdom, even down to hornets, bees, and other insects. In some
instances, however, as in the gallinaceous tribe, including pheasants,
this area is somewhat exceeded, but they are known to be very poor
fliers. Residing as they do chiefly on the ground, their wings are
only required for short distances, or for raising them or easing their
descent from their roosting-places in forest trees, the shortness
of their wings preventing them from taking extended flights. The
wing-surface of the common swallow is rather more than in the ratio of
two square feet per pound, but having also great length of pinion, it is
both swift and enduring in its flight. When on a rapid course this bird
is in the habit of furling its wings into a narrow compass. The greater
extent of surface is probably needful for the continual variations of
speed and instant stoppages for obtaining its insect food.
'On the other hand, there are some birds, particularly of the duck
tribe, whose wing-surface but little exceeds half a square foot,
or seventy-two inches per pound, yet they may be classed among the
strongest and swiftest of fliers. A weight of one pound, suspended
from an area of this extent, would acquire a velocity due to a fall of
sixteen feet--a height sufficient for the destruction or injury of most
animals. But when the plane is urged forward horizontally, in a manner
analogous to the wings of a bird during flight, the sustaining power is
greatly influenced by the form and arrangement of the surface.
Public-domain text, read in full here on John Shaqi.
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