 | 1842 - 616 páginas
...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 by a... | |
 | W[illiam] P[arkinson] Wilson - 1850 - 200 páginas
...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 . .... | |
 | Lynall Thomas - 1859 - 304 páginas
...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... | |
 | Lynall Thomas - 1864 - 226 páginas
...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... | |
 | William Holms Chambers Bartlett - 1866 - 520 páginas
...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... | |
 | William Holms Chambers Bartlett - 1866 - 520 páginas
...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... | |
 | Isaac Todhunter - 1867 - 368 páginas
...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;... | |
 | Aeronautical Society of Great Britain - 1877 - 556 páginas
...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.... | |
 | Isaac Todhunter - 1867 - 372 páginas
...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... | |
 | De Volson Wood - 1876 - 500 páginas
...the plane xy will be a parabola, on xz also a parabola. 10. If a body is projected into the air, and the resistance of the air varies as the square of the velocity ; required the equation of the curve. (The final integrals for this problem cannot be found. Approximate... | |
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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... 
