# The Dynamics of the Aeroplane

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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1920 edition. Excerpt: ...area A, .-. R = K0o)2I+z/2A. If jOj is the radius of gyration, = Pi, and this gives, R=k0ao, v()+ Assuming the radius of gyration coincident with the radius p of flight, the formula becomes R = K0A(oy + z,2), which is the usual formula re-established, i.e. R = K0AV2, where V is the velocity of the centre of gravity, and K0 is the value of K corresponding to this velocity. This is the formula applied at first when establishing the foregoing theory. CHAPTER IX THE WIND Its Influence upon the Directive Properties of the Machine and upon Fuel Consumption Definition.--Any translatory motion of the air molecules of the atmosphere is termed wind. The vertical component of this is generally very small, and will be neglected. Assuming the existence of a wind of uniform velocity W, the machine is then travelling with its own velocity V in a mass of air having a velocity W. The machine velocity U relative to the ground, or the absolute velocity, is the resultant of the two velocities V and W. Constructing the triangle ABC (fig. 68), in which AB is the wind velocity, BC is the machine velocity, and AC the absolute velocity U, then for all directions of V the point C will lie on the circumference of a circle of radius V and centre B. First Case: WV (fig. 68). The wind velocity being less than that of the machine, the point A is inside the circle. The absolute velocity may have any direction whatever, and the machine, may therefore be directed towards any chosen point; the machine is completely directive. Second Case: W = V (fig. 69). The wind velocity being equal to the machine velocity, the point A is on the circle. Drawing through A the tangent TT' to the circle, it can be seen that if the machine is at A, it can be directed only to points which lie to the.