These potential assets do not take into consideration the fact that
efficiency is required not only in rising, landing, and remaining
stationary in the air, but also in actual flight. It must be evident
that if a certain amount of the motive force is used in maintaining the
machine off the ground, that amount of force is missing from the total
of horizontal driving power. Again, it is often assumed by advocates
of this form of flight that the rapidity of climb of the helicopter
would be far greater than that of the driven plane; this view overlooks
the fact that the maintenance of aerodynamic support would claim the
greater part of the engine-power; the rate of ascent would be governed
by the amount of power that could be developed surplus to that required
for maintenance.
This is best explained by actual figures: assuming that a propeller 15
ft. in diameter is used, almost 50 horse-power would be required to get
an upward lift of 1,000 pounds; this amount of horse-power would be
continually absorbed in maintaining the machine in the air at any given
level; for actual lift from one level to another at a speed of eleven
feet per second a further 20 horse-power would be required, which means
that 70 horse-power must be constantly provided for; this absorption
of power in the mere maintenance of aerodynamic support is a permanent
drawback.
The attraction of the helicopter lies, probably, in the ease with
which flight is demonstrated by means of models constructed on this
principle, but one truism with regard to the principles of flight
is that the problems change remarkably, and often unexpectedly,
with the size of the machine constructed for experiment. Berriman,
in a brief but very interesting manual entitled _Principles of
Flight_, assumed that ‘there is a significant dimension of which
the effective area is an expression of the second power, while the
weight became an expression of the third power. Then once again we
have the two-thirds power law militating against the successful
construction of large helicopters, on the ground that the essential
weight increases disproportionately fast to the effective area. From a
consideration of the structural features of propellers it is evident
that this particular relationship does not apply in practice, but it
seems reasonable that some such governing factor should exist as an
explanation of the apparent failure of all full-sized machines that
have been constructed. Among models there is nothing more strikingly
successful than the toy helicopter, in which the essential weight is so
small compared with the effective area.’
Public-domain text, read in full here on John Shaqi.
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