#1 Silly Weapons (or technology) of Sci-Fi
Posted: Thu Aug 17, 2006 11:51 am
In part, I just wanted an excuse to post my Battletech numbers here, but why not make this an all-inclusive thread? What weapons in Science Fiction just make no damn sense at all, or end up being just utterly hilarious when you start looking at the actual numbers for them?
Additionally, what techs are just so outrageous that they make no sense whatsoever?
To start, I'm going to list the Battletech Kinetic weapons, which are a whole level of ridiculous all their own. This is what happens when game developers decide to make highly detailed games but never bother to check to see if any of the numbers make any sense at all.
To preface this, each "shot" of a kinetic weapon in BTech tends to be a burst of ammunition. Machine Gun Arrays, for example, fire 48 rounds every time you fire them, while Autocannons fire 10 rounds. Gauss Cannons fire a single shot, of course.
A while ago, I did some calculations concerning the density of the ammunition. The results, unfortunately, were not pretty.
Assuming a mere 10% of the total mass of an ammo box in BTech consists of loading mechanisms and structure, we're still left with the fact that less than 50% of the shells are, in fact, the projectile. Using the caseless ammunition as a model, removing the cases from the equation reduces mass and size enough to fit twice as much ammo in the box with no change in mass. Add to that the fact that there still has to be significant powder charge behind the projectile, and, well. Assuming another mere 10% remaining mass in powder, that leaves the projectile with
1000*0.9 = 900 (total mass of projectiles after removing loading gear)
900/2 = 450 (total mass of projectiles after removing casing)
450/5 = 90 (total mass of one "burst")
90*0.9 = 81 (total mass of one "burst" after removing propellant)
81/10 = 8.1 (total mass of a single projectile)
8.1 kg for a single, 200mm projectile. Take in mind this is assuming only 5% of the mass of the total shell is made up of propellant.
Assuming this is a 200mm cube (which it's not, but makes for an easier analysis, and is generous to the BTech side as a shell would tend to be much longer than it is wide), this gives us a density of 1012.5 kg/m^3. Right between water and sea water (1000 and 1025, respectively).
Even assuming 100% of each shell's mass is included in the projectile, this gives us 20kg to work with. The density of the projectile is 2500 kg/m^2. This is slightly less dense than aluminum. Iron has a density of 7870.
Assuming one shot instead of a burst, but still assuming we lose weight for reasonable purposes gives us 81kg. This gives the cube a density of 10125 kg/m^3. This is much more reasonable, and gives us a density which is considerably greater than iron, but still less than that of silver (or lead).
Assuming one shot of the full 200kg, we have a density of 25000 kg/m^3, which is denser than the most dense than iridium (which is far denser than Uranium).
Take in mind, of course, that these densities are all greater than what would normally be expected from a properly shaped shell. If the first example is true, that's a pretty bad sign.
By the way, AC/2 rounds, assuming 50mm is the average, work out as such:
Maximum value:
1000/45 = 22.2
22.2/10 = 2.22
2.22/0.05^3 = 17760 (a good number, but assumes 100% of the shell, including casing, loading mechanism, and propellent are included in the mass)
Realistic value, having removed shell casing and minimal mass for propellant:
1000*0.9 = 900
900/45 = 20
20/2 = 10
10*0.9 = 9
9/10 = 0.9
0.9/0.05^3 = 7200 (not bad, but still lower than iron)
Let's assume, again, that we have 20mmx20mmx20mm shells. Yeah, I know, not realistic, but it saves time, and as we all know, rounds like this are longer than they are wide, so this tends to be a generous comparison. You have stated in the past that the MG fires 48 rounds in a burst. One ton of ammunition is 200 "bursts", half a ton being 100 "bursts".
500kg = 100*48 = 4,800
500kg/4800=~0.1042kg=104.2g
That's the entire round, including feed mechanism, ammo box, shell casing, and powder charge. Using the values I've used in the past, let's see what the actual projectile comes out to.
So here we go:
104.2g*0.9=93.78g
93.78g/2=46.89g
46.89g*0.9=42.201g
42.2g, give or take, is what we end up with.
20mm = 0.02m (0.02^3=0.000008) and 42.2g = 0.0422kg. This gives us 0.0422kg/0.000008m^3 = 5275kg/m^3
That's between titanium and tin.
Maybe it's better if we shoot the whole thing, 104.2g? 0.1042kg/0.000008m^3 = 13025kg/m^3
Better, between Lead and Mercury.
Now, if, say, the round is more realistic, say, rounded, 20mm wide and 40mm long, say, what does that change?
pi*0.02^2=3.1416*0.0004=~0.00126m^2
0.00126*0.04=0.0000504m^3
0.0422kg/0.0000504m^3=~837.3kg/m^3
Whole thing:
0.1042kg/0.0000504m^3=~2067.46kg/m^3
We either have something slightly less dense than ice being fired, or something slightly more dense than magnesium.
Finally, I did a brief calculation of the high-end stats for a Gauss Rifle, using a 114kg slug fired at Mach 5.5. As you can see, it got more than a little crazy.
100,195,312,500 N
or 1*10^11
An inelastic collision with a 100 ton mech, well...
F/m=a
100,195,312,500/100000 = 1001953.125
2*1001953.125(0.002) = v^2
4007.8125 = v^2
v ~= 63 m/s
63m/s = 226.8 kph
Something that accelerates the heaviest mech to a speed faster than it can get to under its own power is not supposed to knock it over, yet the stream of water fired from an AC/20 does? Welcome to WTF-World.
Additionally, what techs are just so outrageous that they make no sense whatsoever?
To start, I'm going to list the Battletech Kinetic weapons, which are a whole level of ridiculous all their own. This is what happens when game developers decide to make highly detailed games but never bother to check to see if any of the numbers make any sense at all.
To preface this, each "shot" of a kinetic weapon in BTech tends to be a burst of ammunition. Machine Gun Arrays, for example, fire 48 rounds every time you fire them, while Autocannons fire 10 rounds. Gauss Cannons fire a single shot, of course.
A while ago, I did some calculations concerning the density of the ammunition. The results, unfortunately, were not pretty.
Assuming a mere 10% of the total mass of an ammo box in BTech consists of loading mechanisms and structure, we're still left with the fact that less than 50% of the shells are, in fact, the projectile. Using the caseless ammunition as a model, removing the cases from the equation reduces mass and size enough to fit twice as much ammo in the box with no change in mass. Add to that the fact that there still has to be significant powder charge behind the projectile, and, well. Assuming another mere 10% remaining mass in powder, that leaves the projectile with
1000*0.9 = 900 (total mass of projectiles after removing loading gear)
900/2 = 450 (total mass of projectiles after removing casing)
450/5 = 90 (total mass of one "burst")
90*0.9 = 81 (total mass of one "burst" after removing propellant)
81/10 = 8.1 (total mass of a single projectile)
8.1 kg for a single, 200mm projectile. Take in mind this is assuming only 5% of the mass of the total shell is made up of propellant.
Assuming this is a 200mm cube (which it's not, but makes for an easier analysis, and is generous to the BTech side as a shell would tend to be much longer than it is wide), this gives us a density of 1012.5 kg/m^3. Right between water and sea water (1000 and 1025, respectively).
Even assuming 100% of each shell's mass is included in the projectile, this gives us 20kg to work with. The density of the projectile is 2500 kg/m^2. This is slightly less dense than aluminum. Iron has a density of 7870.
Assuming one shot instead of a burst, but still assuming we lose weight for reasonable purposes gives us 81kg. This gives the cube a density of 10125 kg/m^3. This is much more reasonable, and gives us a density which is considerably greater than iron, but still less than that of silver (or lead).
Assuming one shot of the full 200kg, we have a density of 25000 kg/m^3, which is denser than the most dense than iridium (which is far denser than Uranium).
Take in mind, of course, that these densities are all greater than what would normally be expected from a properly shaped shell. If the first example is true, that's a pretty bad sign.
By the way, AC/2 rounds, assuming 50mm is the average, work out as such:
Maximum value:
1000/45 = 22.2
22.2/10 = 2.22
2.22/0.05^3 = 17760 (a good number, but assumes 100% of the shell, including casing, loading mechanism, and propellent are included in the mass)
Realistic value, having removed shell casing and minimal mass for propellant:
1000*0.9 = 900
900/45 = 20
20/2 = 10
10*0.9 = 9
9/10 = 0.9
0.9/0.05^3 = 7200 (not bad, but still lower than iron)
Let's assume, again, that we have 20mmx20mmx20mm shells. Yeah, I know, not realistic, but it saves time, and as we all know, rounds like this are longer than they are wide, so this tends to be a generous comparison. You have stated in the past that the MG fires 48 rounds in a burst. One ton of ammunition is 200 "bursts", half a ton being 100 "bursts".
500kg = 100*48 = 4,800
500kg/4800=~0.1042kg=104.2g
That's the entire round, including feed mechanism, ammo box, shell casing, and powder charge. Using the values I've used in the past, let's see what the actual projectile comes out to.
So here we go:
104.2g*0.9=93.78g
93.78g/2=46.89g
46.89g*0.9=42.201g
42.2g, give or take, is what we end up with.
20mm = 0.02m (0.02^3=0.000008) and 42.2g = 0.0422kg. This gives us 0.0422kg/0.000008m^3 = 5275kg/m^3
That's between titanium and tin.
Maybe it's better if we shoot the whole thing, 104.2g? 0.1042kg/0.000008m^3 = 13025kg/m^3
Better, between Lead and Mercury.
Now, if, say, the round is more realistic, say, rounded, 20mm wide and 40mm long, say, what does that change?
pi*0.02^2=3.1416*0.0004=~0.00126m^2
0.00126*0.04=0.0000504m^3
0.0422kg/0.0000504m^3=~837.3kg/m^3
Whole thing:
0.1042kg/0.0000504m^3=~2067.46kg/m^3
We either have something slightly less dense than ice being fired, or something slightly more dense than magnesium.
Finally, I did a brief calculation of the high-end stats for a Gauss Rifle, using a 114kg slug fired at Mach 5.5. As you can see, it got more than a little crazy.
100,195,312,500 N
or 1*10^11
An inelastic collision with a 100 ton mech, well...
F/m=a
100,195,312,500/100000 = 1001953.125
2*1001953.125(0.002) = v^2
4007.8125 = v^2
v ~= 63 m/s
63m/s = 226.8 kph
Something that accelerates the heaviest mech to a speed faster than it can get to under its own power is not supposed to knock it over, yet the stream of water fired from an AC/20 does? Welcome to WTF-World.