TRACT 34?t
IN GUNNERY.
21
On account of the iron strap of 7-8 lb added at 79 inches;as above, the formula last given, for the variation in thecentre of gravity and number of oscillations, will need cor-rection, namely the formula
G = 76-54 +N = 40-27 -
670 + 6i - 86
■ 6 ,
217947
[In.
Now these formulae, by making i = 79, and b = 7-8, become
G = 76-54 + -03 =76-57,and N = 40-27 + -02 = 40'29.
And hence the corresponding radical values are nearly
p g n
678 76-57 40'29
Whichvaliies, being substituted in the two general theorems;
Viz.
G = g + -— -b, and
P + b 7
bin(inn — 140850^
N Vh —« — - N 4
581700 pg. + bi{inn + 140850 ) 9
they become
g = 16‘51 +N = 40-29 -or n = 40-29 —
■ 76-37
b, ami
678+ ft
40-29 W(i - 85-92)8920300 + bi[i + 85 939’i - 85-92,
-bi nearly,
220309
which are the new theorems hereafter to be used.
Note, the mean value of i, for the point struck the fourlast days, is 88‘82; which, used in these last formula, give;the corrected values of g and n, as inserted in their proper
columns in the table of this day’s experiments.-N° 7
is doubtful, and therefore omitted.
***
The means of. this day are as below :
Powdfer
Recoil
Veloc. of
wt
ht
guu
the ball
4
3-0 -
- 455 -
- 1124
6
4-3 -
- 615 -
- 1372
S
5-5 -
_
- 1445