Tracts on Mathematical and Philosophical Subjects: Comprising Among Numerous Important Articles, the Theory of Bridges, with Several Plans of Recent Improvement; Also the Results of Numerous Experiments on the Force of Gunpowder, with Applications to the Modern Practice of Artillery ...

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F. C. and J. Rivington, 1812 - 485 σελίδες
 

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Σελίδα 165 - GH revolve in the same time, as when p was fixed to it ; this smaller weight being taken from M, the remainder is obviously equal in effort to the resistance of the revolving body p; and this remainder being reduced in the ratio of the length of the arm to the semi-diameter of the barrel, will then become equal to the absolute quantity of the resistance. And as the time of one revolution is, known, and consequently the velocity of the revolving body ; there is thereby discovered, the absolute quantity...
Σελίδα 79 - ... the increase in length ; the velocities being in a ratio somewhat less than that of the square roots of the length of the bore, but greater than that of the cube roots of the same, and is indeed nearly in the middle ratio between the two.
Σελίδα 215 - ... by further increasing the charge, the velocity gradually diminishes, till the bore is quite full of powder. That this charge for th,e greatest velocity is greater as the gun is longer, but yet not greater in so high a proportion as the length of the gun is ; so that the...
Σελίδα 380 - Accordingly, the next morning, with a joyful countenance, he brought me the construction neatly drawn out on a large sheet of pasteboard, saying he esteemed it a treasure, having found it quite right, as every point and line agreed to a hair'sbreadth by measurement on the scale.
Σελίδα 215 - It appears, from the table of ranges, that the range increases in a much lower ratio than the velocity, the gun and elevation being the same. And when this is compared with the proportion of the velocity and length of gun in the last paragraph, it is evident that we gain extremely little in the range by a great increase in the length of the gun, with the same charge of powder. In fact the range is nearly as the 5th root of the length of the bore ; which is so small an increase, as to amount only...
Σελίδα 80 - It has been found, by these experiments, that no difference is caused in the velocity, or range, by varying the weight of the gun, nor by the use of wads, nor by different degrees of ramming, nor by firing the charge of powder in different parts of it.
Σελίδα 328 - The reason is, all bodies lose some of their weight in a fluid, and the weight which a body loses in a fluid, is to its whole weight, as the specific gravity of the fluid is to that of the body.
Σελίδα 216 - ... nearly as the logarithms of the charges, instead of being as the charges themselves, or, which is the same thing, as the square of the velocity.
Σελίδα 78 - That this charge for the greatest velocity is greater as the gun is longer, but yet not greater in so high a proportion as the length of the gun is ; so that the part of the bore filled with powder, bears a less proportion to the whole...
Σελίδα 216 - ... degrees of ramming, nor by firing the charge of powder in different parts of it. But that a very great difference in the velocity arises from a small degree in the windage : indeed with the usual established windage only, viz, about ^ of the calibre, no less than between -j- and £ of the powder escapes and is lost : and as the balls are often smaller than the regulated size, it frequently happens that half the powder is lost by unnecessary windage.

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