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Ballistics, 2nd Edition
book

Ballistics, 2nd Edition

by Donald E. Carlucci, Sidney S. Jacobson
August 2013
Intermediate to advanced content levelIntermediate to advanced
608 pages
21h 36m
English
CRC Press
Content preview from Ballistics, 2nd Edition
394 Ballistics: Theory and Design of Guns and Ammunition
We now use a compatibility condition that at z = 2d, both Equations 15.103 and 15.91 must
yield the same answer. We shall call the time it takes the projectile to reach 2d, t
1
and the
velocity at that point will be V
1
, thus at z = 2d we have
F
d
Sf NV
zd
t=t
c
1
=
+
()
=
π
2
1
2
4
2
ρ
,
(15.104)
d
d
2
s
z
t
Vt
zd
2
1
2=− =
ωω
sin,
(15.105)
Since F = ma, we can combine the aforementioned equations to write
mV t
d
Sf NV
zd
ωω ρ
sc
si
n,
1
2
1
2
4
2=
+
()
=
π
(15.106)
Also at t = t
1
, Equations 15.101 and 15.102 can be written as
2= sin
s
1
d
V
t
ω
ω
(15.107)
VV t
1
=
s1
cos
ω
(15.108)
We now rearrange Equation 15.108 to
V
d
t
s
2
cos
=
1
ω
ω
(15.109)
Now in ...
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Publisher Resources

ISBN: 9781466564374