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" Remembering that the resistance of the air varies as the square of the velocity, it might easily be shown that the strength should be at least eight times, instead of twice, as great. Passing to the question of power. The soaring of birds is a most important... "
The Elements of Analytical Mechanics - Σελίδα 179
των De Volson Wood - 1882 - 249 σελίδες
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Transactions, Τόμος 3

1842
...enumerated were all subject to the same law, we should not be able to do this ; but, assuming that the resistance of the air varies as the square of the velocity, and that the two latter are constant forces, at all velocities, we can easily separate the effects...

A Treatise on Dynamics

W[illiam] P[arkinson] Wilson - 1850 - 176 σελίδες
...degree of approximation. Let us take for an example the motion of a body in the air acted on by gravity. The resistance of the air varies as the square of the velocity of the body, so that the equations of motion are These may be written d*x . dx ds tfy . dtf ds . ....

Rifled ordnance, a treatise on the application of the principle of the rifle ...

Lynall Thomas - 1859
...the square root of their diameters. This is comparatively a simple deduction from the law — that the resistance of the air varies as the square of the velocity. As the resistance of the air upon shot of different . diameters, projected with velocities as the square...

Rifled Ordnance: A Practical Treatise on the Application of the Principle of ...

Lynall Thomas - 1864 - 200 σελίδες
...curves, as the resistance will be in the ratio of their quantities of motion:" a fact which shows that if the resistance of the air varies as the square of the velocity, it is also in the ratio of the relative vis viva of the shot. As the resistance of the air upon shot...

Elements of Analytical Mechanics

William Holms Chambers Bartlett - 1866 - 510 σελίδες
...equivalent to supposing the projectile in vacuo, we obtain Equation (161). f t § 154. — Assuming that the resistance of the air varies as the square of the velocity, some idea may be formed of its actual intensity from the fact that a twenty-four-pound ball projected...

ELEMENTS OF ANALYTICAL MECHANICS

W.H.C. BARTLETT, LL.D., - 1866
...equivalent to supposing the projectile in vacuo, we obtain Equation (161). § 154, — Assuming that the resistance of the air varies as the square of the velocity, some idea may be formed of its actual intensity from the fact that a twenty-four-pound ball 'projected...

Annual Report of the Aeronautical Society of Great Britain

Aeronautical Society of Great Britain - 1877
...the strength must be at least ^doubled when the length only of the wing is doubled. Remembering that the resistance of the air varies as the square of the velocity, it might easily be shown that the strength should be at least eight times, instead of twice, as great....

Mechanics for Beginners: With Numerous Examples

Isaac Todhunter - 1867 - 350 σελίδες
...exerted by the air. Let us take for example the case of a falling body. It appears from experiments that the resistance of the air varies as the square of the velocity of the body; or at least this is very approximately the case. Let v denote the velocity of the body...

Mechanics for Beginners: With Numerous Examples

Isaac Todhunter - 1867 - 350 σελίδες
...exerted by the air. Let us take for example the case of a falling body. It appears from experiments that the resistance of the air varies as the square of the velocity of the body; or at least this is very approximately the case. Let v denote the velocity of the body;...

The Elements of Analytic Mechanics: Solids & Fluids

De Volson Wood - 1876 - 472 σελίδες
...direction ; required the equations of the path, neglecting the resistance of the air. We have X=0; Y=—mg\ Z = F(& constant). The projection of the path on the...equations and make the first steps in the reduction. ) (The remainder of this chapter may be omitted without detriment to what follows it. It, however,...




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