Johannes Falkner, on 15 April 2012 - 03:52 PM, said:
@Volthorne - m = meter... standard notation. You should note that I wrote v=1,000 m/s (~mach 3)... At sealevel and standard temperature and pressure mach 1 is 343 m/s.
The huge numbers come from the time term being squared.
from the first equation:
t = 1000 m/s divided by a
t^2 = (1000 m/s)^2 divided by a^2
t^2 = 1,000,000 m^2/s^2 over a^2
Then since the second equation is d=0.5*a*t^2 one of the a's in the divisor is multiplied out leaving
d=0.5 * 1,000,000 m^2/s^2 * 1/a
since d=4m, the second equation can be rearranged so that
a = 0.5*1,000,000 m^2/s^2 *1/4m = 125,000 m/s^2
One critique I have is that BattleMech-mounted Gauss Rifles are more often described as "hypersonic", which implies a muzzle velocity of at least Mach 5.0 (~1,710 m/s under standard day conditions), and likely not much more than Mach 10.0 (~3,415 m/s under standard day conditions).
Though, the Gauss Rifle on the
Yellow Jacket VTOL is stated to have a muzzle velocity of Mach 2.2 (~749 m/s under standard day conditions), implying that it
can be toned down if needed (as a 30-ton VTOL in flight might not be able to handle the greater recoil of a "full-power" shot, or be able to sustain a reasonable ROF on an ICE with "full-power" shots).
Also, there is a rather interesting paper describing the 45-stage (1 stage = 1 coil) coilgun mortar being developed by
DARPA (the US Defense Advanced Research Projects Agency), titled "
EM Mortar Technology for Indirect Fire" by B.N. Turman et al.
Of particular note is this section:
Quote
The coilgun barrel is a space-frame that aligns and axially compresses the individual coils over a thin-wall fiberglass boretube. This barrel frame is coupled into the gun mount that is the same size as used in the Future Combat System (FCS) NLOS-M vehicle. The mount contains the recoil system and is capable of elevating the gun for future field demonstrations of projectile range capability. Also located in the mount is the 94 GHz Doppler radar that senses the projectile during launch for controlled firing of the individual coils. The hardstand and baseframe are coupled to conserve the momentum of gun’s and catcher’s recoil.
And their target "launch velocity" (muzzle velocity) was on the order of only ~420 m/s (approximately Mach 1.23).
I would imagine that similar issues - and methods for resolving those issues - would apply to a weaponized direct-fire coilgun (e.g. Gauss Rifle)...
But, yeah... about those ACs...