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regard to climb OR velocity�� has�察�so far�察�been found to be an arrangement of an inclined surface driven by a HORIZONTAL thrustthe surface lifting the weight�察�and the thrust overcoming the drift。 This is�察�in practice�察�a far more efficient arrangement than the helicopter�察�i。e。�察�the air´screw revolving about a vertical axis and producing a thrust opposed to gravity。 If�察�when climbing�察�the propeller thrust is at such an angle as to tend to haul the aeroplane upwards�察�then it is�察�in a measure�察�acting as a helicopter�察�and that means inefficiency。 The reason of a helicopter being inefficient in practice is due to the fact that�察�owing to mechanical difficulties�察�it is impossible to construct within a reasonable weight an air´screw of the requisite dimensions。 That being so�察�it would be necessary�察�in order to absorb the power of the engine�察�to revolve the comparatively small´surfaced air screw at an immensely greater velocity than that of the aeroplane's surface。 As already explained�察�the lift´drift ratio falls with velocity on account of the increase in passive drift。 This applies to a blade of a propeller or air´screw�察�which is nothing but a revolving surface set at angle of incidence�察�and which it is impossible to construct without a good deal of detrimental surface near the central boss。
4。 The velocity being low�察�then it follows that for that reason also the angle of incidence should be comparatively large。
5。 Camber。Since such an aeroplane would be of low velocity�察�and therefore possess a large angle of incidence�察�a large camber would be necessary。
Let us now consider the essentials for an aeroplane of maximum velocity for its power�察�and possessing merely enough lift to get off the ground�察�but no margin of lift。
1。 Comparatively HIGH VELOCITY。
2。 A comparatively SMALL SURFACE�察�because�察�being of greater velocity than the maximum climber�察�a greater mass of air will be engaged for a given surface and time�察�and therefore a smaller surface will be sufficient to secure the requisit lift。
3。 A small angle relative to the propeller thrust�察�since the latter coincides with the direction of motion。
4。 A comparatively small angle of incidence by reason of the high velocity。
5。 A comparatively small camber follows as a result of the small angle of incidence。
SUMMARY。
Essentials for Maximum Essentials for Maximum Climb。 Velocity
1。 Low velocity。 High velocity。 2。 Large surface。 Small surface。 3。 Large angle relative to Small angle relative to propeller thrust。 propeller thrust。 4。 Large angle relative to Small angle relative to direction direction of motion。 of motion。 5。 Large camber。 Small camber。
It is mechanically impossible to construct an aeroplane of reasonable weight of which it would be possible to very the above opposing essentials。 Therefore�察�all aeroplanes are designed as a compromise between Climb and Velocity。
As a rule aeroplanes are designed to have at low altitude a slight margin of lift when the propeller thrust is horizontal。
ANGLES OF INCIDENCE ��INDICATED APPROXIMATELY�� OF AN AEROPLANE DESIGNED AS A COMPROMISE BETWEEN VELOCITY AND CLIMB�察�AND POSSESSING A SLIGHT MARGIN OF LIFT AT A LOW ALTITUDE AND WHEN THE THRUST IS HORIZONTAL
MINIMUM ANGLE。
This gives the greatest velocity during horizontal flight at a low altitude。 Greater velocity would be secured if the surface�察�angle�察�and camber were smaller and designed to just maintain horizontal flight with a horizontal thrust。 Also�察�in such case�察�the propeller would not be thrusting downwards�察�but along a horizontal line which is obviously a more efficient arrangement if we regard the aeroplane merely from one point of view�察�i。e。�察�either with reference to velocity OR climb。
OPTIMUM ANGLE ��Thrust horizontal��
The velocity is less than at the smaller minimum angle�察�and�察�as aeroplanes are designed to´day�察�the area and angle of incidence of the surface is such as to secure a slight ascent at a low altitude。 The camber of the surface is designed for this angle of incidence and velocity。 The lift´drift ratio is best at this angle。
BEST CLIMBING ANGLE
The velocity is now still less by reason of the increased angle producing increase of drift。 Less velocity at A GIVEN ANGLE produces less lift�察�but the increased angle more or less offsets the loss of lift due to the decreased velocity�察�and in addition�察�the thrust is now hauling the aeroplane upwards。
MAXIMUM ANGLE
The greater angle has now produced so much drift as to lessen the velocity to a point where the combined lifts from the surface and from the thrust are only just able to maintain horizontal flight。 Any greater angle will result in a still lower lift´drift ratio。 The lift will then become less than the weight and the aeroplane will consequently fall。 Such a fall is known as ``stalling'' or ``pancaking。''
NOTE。The golden rule for beginners�此�Never exceed the Best Climbing Angle。 Always maintain the flying speed of the aeroplane。
By this means�察�when the altitude is reached where the margin of lift disappears ��on account of loss of engine power���察�and which is�察�consequently�察�the altitude where it is just possible to maintain horizontal flight�察�the aeroplane is flying with its thrust horizontal and with maximum efficiency ��as distinct from engine and propeller efficiency��。
The margin of lift at low altitude�察�and when the thrust is horizontal�察�should then be such that the higher altitude at which the margin of lift is lost is that altitude at which most of the aeroplane's horizontal flight work is done。 That ensures maximum velocity when most required。
Unfortunately�察�where aeroplanes designed for fighting are concerned�察�the altitude where most of the work is done is that at which both maximum velocity and maximum margin of lift for power are required。
Perhaps some day a brilliant inventor will design an aeroplane of reasonable weight and drift of which it will be possible for the pilot to vary at will the above´mentioned opposing essentials。 Then we shall get maximum velocity�察�or maximum margin of lift�察�for power as required。 Until then the design of the aeroplane must remain a compromise between Velocity and Climb。
CHAPTER II
STABILITY AND CONTROL
STABILITY is a condition whereby an object disturbed has a natural tendency to return to its first and normal position。 Example�此�a weight suspended by a cord。
INSTABILITY is a condition whereby an object disturbed has a natural tendency to move as far as possible away from its first position�察�with no tendency to return。 Example�此�a stick balanced vertically upon your finger。
NEUTRAL INSTABILITY is a condition whereby an object disturbed has no tendency to move farther than displaced by the force of the disturbance�察�and no tendency to return to its first position。
In order that an aeroplane may be reasonably controllable�察�it is necessary for it to possess some degree of stability longitudinally�察�laterally�察�and directionally。
LONGITUDINAL STABILITY in an aeroplane is its stability about an axis transverse to the direction of normal horizontal flight�察�and without which it would pitch and toss。
LATERAL STABILITY is its stability about its longitudinal axis�察�and without which it would roll sideways。
DIRECTIONAL STABILITY is its stability about its vertical axis�察�and without which it would have no tendency to keep its course。
For such directional stability to exist there must be�察�in effect�撮В�16�ВА�more ``keel´surface'' behind the vertical axis than there is in front of it。 By keel´surface I mean every´ thing to be seen when looking at an aeroplane from the side of itthe sides of the body�察�undercarriage�察�struts�察�wires�察�etc。 The same thing applies to a weathercock。 You know what would happen if there was insufficient keel´surface behind the vertical axis upon which it is pivoted。 It would turn off its proper course�察�which is opposite to the direction of the wind。 It is very much the same in the case of an aeroplane。
�В�16�ВА �`In effect'' because�察�although there may be actually the greatest proportion of keel´surface In front of the vertical axis�察�such surface may be much nearer to the axis than is the keel´surface towards the tail。 The latter may then be actually less than the surface in front�察�but�察�being farther from the axis�察�it has a greater leverage�察�and consequently is greater in effect than the surface in front。
The above illustration represents an aeroplane ��directionally stable�� flying along the course B。 A gust striking it as indicated acts upon the greater proportion of keel´surface behind the turning axis and throws it into the new course。 It does not�察�however�察�travel along the new course�察�owing to its momentum in the direction B。 It travels�察�as long as such momentum lasts�察�in a direction which is the resultant of the two forces Thrust and Momentum。 But the centre line of the aeroplane is pointing in the direction of the new course。 Therefore its attitude�察�relative to the direction of motion�察�is more or less sideways�察�and it consequently receives an air pressure in the direction C。 Such pressure�察�acting upon the keel´surface�察�presses the tail back towards its first position in which the aeroplane is upon its course B。
What I have described is continually going on during flight�察�but in a well´designed aeroplane such stabilizing movements are�察�most of the time�察�so slight as to be imperceptible to the pilot。
If an aeroplane was not stabilized in this way�察�it would not only be continually trying to leave its course�察�but it would also possess a dangerous tendency to ``nose away'' from the direction of the side gusts。 In such case the gust shown in the above illustration would turn the aeroplane round the opposite way a very considerable distance�察�and the right wing�察�being on the outside of the turn�察�would travel with greater velocity than the left wing。 Increased velocity means increased lift�察�and so�察�the right wing lifting�察�the aeroplane would turn over sideways very quickly。
LONGITUDINAL STABILITY。Flat surfaces are longitudinally stable owing to the fact that with decreasing angles of incidence the centre line of pressure ��C。P。�� moves f
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