| William Parkinson Wilson, W[illiam] P[arkinson] Wilson - 1850 - 176 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
...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... | |
| 1864 - 200 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... | |
| 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... | |
| William Holms Chambers Bartlett - 1866 - 510 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 - 350 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;... | |
| Royal Aeronautical Society
...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 - 350 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 - 472 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... | |
| Francis Bashforth - 1879
...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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