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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... "
A Treatise on Dynamics - Сторінка 91
автори: William Parkinson Wilson - 1801 - 176 стор.
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Transactions, Том 3

1842 - 616 стор.
...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...
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Rifled ordnance, a treatise on the application of the principle of the rifle ...

Lynall Thomas - 1859 - 304 стор.
...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...
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Rifled Ordnance: A Practical Treatise on the Application of the Principle of ...

Lynall Thomas - 1864 - 226 стор.
...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...
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Elements of Analytical Mechanics

William Holms Chambers Bartlett - 1866 - 520 стор.
...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...
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Elements of Analytical Mechanics

William Holms Chambers Bartlett - 1866 - 520 стор.
...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...
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Mechanics for Beginners: With Numerous Examples

Isaac Todhunter - 1867 - 372 стор.
...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 ; then the resistance...
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Mechanics for beginners

Isaac Todhunter - 1867 - 368 стор.
...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; then the resistance...
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Annual Report of the Aeronautical Society of Great Britain

Aeronautical Society of Great Britain - 1877 - 556 стор.
...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....
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The Elements of Analytic Mechanics: Solids & Fluids

De Volson Wood - 1876 - 500 стор.
...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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Reports on experiments made with the Bashforth chronograph to ..., Частина 2

Francis Bashforth - 1879 - 76 стор.
...more trustworthy results obtained with higher velocities. If these values of Kv may be relied upon, the resistance of the air varies as the square of the velocity for velocities 430 to 830 fs, and as the cube of the velocity from 830 to 1000 fs As the resistance...
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