tract
Veloc.ball
122512441346166217281815
Here the decrease of the velocity is uniformly observablewith the decrease of weight in the ball, and that in a veryconsiderable degree, instead of increasing, which it oughtto do, if the windage were the same, or the balls had thesame diameter, and that in the reciprocal subduplicateratio of the weight of the ball. Now that ratio is theratio of \/l 5| to a/ 16|, or of 11 to 11-^-. Therefore, as11 : ll-j^r : : 1346 : 1424 the velocity the least ball wouldhave had, if its diameter had been equal to the heaviest.But its velocity was actually no more than 1225 ; and there-fore the difference 199, or \ of the whole, or •§■ of theexperimented velocity, is the velocity lost by the differenceof windage; though this difference was only of an inch, or■jV of the caliber, which is no more than the usual windage al-lowed in service. But the force, or inflamed powder, lost bythe same cause, will be or a double part of the velocity, be-cause the velocity is as the square-root of the force or quantityof powder. Hence then, in charges with 4 ounces of powder,and a windage of -J r of the caliber, £ of the charge is lost,or nearty a mean between and
And if the computation be made in like manner for theabove charges of 8 ounces of powder, it will be found thatthe part of the charge lost by the same windage, will be, inthe case of 8 ounces, of the whole; which is still morethan the £ part, though somewhat less than in the case of 4ounces. The reason of which is, that the ball is sooner out
18
NEW EXPERIMENTS
Ball’s
Powder’s
wt
diam
Recoil
wt
ht
oz dr
inches
gun
4
3-4
15 2
1-87
148
16 2
1-92
154
*
,
16 14
1 '97
165
8
5-9
15 2
1-87
239
#
16 3
1 - 92
249
16 14
* 1*97
262