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425mm Railgun Lead Rounds Have Less Mass Than a Fart (and the Numbers to prove it...)

Author
stoicfaux
#1 - 2011-10-05 00:57:41 UTC  |  Edited by: stoicfaux
Summary
We can use in-game numbers to show that Lead projectiles for 425mm Railguns have, as an upper bounds, less mass than methane gas (aka a fart.) (For the metric impaired, 425mm == 16.7 inches.)

The Numbers
a) The ship's capacitor is measured in GJ or giga-joules.

b) Railguns use cap to fire. This gives us an upper bound on the amount of energy that can be imparted upon the projectile. (If you use 10 GJ to fire a lead round, the lead round's projectile will have up to 10 GJ of energy with which to propel it.)

Please note that the term "round" refers to ammo as it is in your cargo hold. The "projectile" denotes the bullet (or mass) that actually leaves the muzzle of the Railgun.

c) 250km is the upper range of large railguns. Since guns hit "instantly" we will use a value of 0.1 seconds for the projectile's travel time. This means that the lead projectile is traveling at 2,500,000 m/s (2.5 million meters per second.)

d) A Rokh with three gun-cap reducing rigs (specifically Large Hybrid Discharge Elutriation rigs, 2xTII, 1xT1) firing a lead round (-50% reduction to gun cap) from Kaikka's Modified 425mm Railgun uses 3.807GJ of cap to fire.

e) Using the formula for kinetic energy we can compute the upper bounds of the mass of the projectile like so:

Kinetic Energy (in joules) = (1/2) * mass * velocity^2

3,807,000,000 J = 0.5 * x * (2,500,000 m/s)^2

x = 3,807,000,000 J / (0.5 * (6,250,000,000,000 m^2/s^2))

Since 1 J = (kg * m^2 / s^2) that reduces to:

x = 3,807,000,000 kg / 3,125,000,000,000

x = .00121 kg (or 0.0027 lbs or 0.04 ounces)

f) Thus using 3.807 giga-joules of energy to launch a railgun projectile 250km in 0.1 seconds means that the railgun projectile's mass can be no greater than 0.00121 kg (or 0.04 ounces.)


The Numbers for Methane
By comparison, an equialent volume of methane gas (aka a fart) weighs more:

a) A Large Hybrid round has a volume of 0.05 m^3. Methane at 0 degrees C has a volume of 0.717 kg/m^3

b) The same volume of methane gas at 0 degrees Celsius has a mass of
0.05m^3 * 0.717 kg/m^3 =
0.0359 kg (or 0.079 lbs or 1.26 ounces.)


Conclusion
Thus a 425mm Lead Railgun round can weigh at most 0.00121 kg ( or 0.04 ounces) whereas an equivalent sized "fart" (aka methane gas) weighs 0.0359kg (or 1.26 ounces.) The "fart" has 29.7 times greater mass.


Proposal
Can we buff railguns to fire fart gas? Use the in-game Cattle (or other livestock) to use in PI to create Methane gas Railgun projectiles.


edit:
Additional Fun Numbers:
* 3.807 GJ is the equivalent of 0.91 tons of TNT.
* A Reaper (free newbie ship) traveling at 3,225m/s that crashes into a bigger ship generates energy equivalent to 2,876 tons of TNT.
* A Stabber going ~7km generates energy equivalent to ~135,000 tons of TNT in a collision.

Pon Farr Memorial: once every 7 years, all the carebears in high-sec must PvP or they will be temp-banned.

0ld School
Onslaught Inc
#2 - 2011-10-05 01:07:35 UTC  |  Edited by: 0ld School
What a hilarious misuse of armchair science.

stoicfaux wrote:
If you use 10 GJ to fire a lead round, the lead round's projectile will have up to 10 GJ of energy with which to propel it.


Nope. The actual force of a modern hammer striking a modern round is not the energy used to actually propel the round.

Modern projectiles are propelled by the chemical energy within the round. Same could be said for hybrid rounds, as far as you know.

Also: its a scifi game.
Cipher Jones
The Thomas Edwards Taco Tuesday All Stars
#3 - 2011-10-05 01:10:06 UTC
Plasma has very little mass.

Can't tell if serious?

internet spaceships

are serious business sir.

and don't forget it

stoicfaux
#4 - 2011-10-05 01:14:59 UTC
0ld School wrote:

Nope. The actual force of a modern hammer striking a modern round is not the energy used to actually propel the round.

Modern projectiles are propelled by the chemical energy within the round. Same could be said for hybrid rounds, as far as you know.

Go look up how railguns work: http://en.wikipedia.org/wiki/Railgun

Also read the description of hybrid rounds: http://wiki.eveonline.com/en/wiki/Lead_Charge_L
Quote:

Consists of two components: a shell of titanium and a core of lead atoms suspended in a plasma state. Railguns launch the shell directly...



Quote:
Also: its a scifi game.

You're probably one of those people who don't think twice about correcting (criticizing) your girlfriend. Sorry, former girlfriend.


Pon Farr Memorial: once every 7 years, all the carebears in high-sec must PvP or they will be temp-banned.

0ld School
Onslaught Inc
#5 - 2011-10-05 01:25:31 UTC  |  Edited by: 0ld School
stoicfaux wrote:

Quote:
Also: its a scifi game.

You're probably one of those people who don't think twice about correcting (criticizing) your girlfriend. Sorry, former girlfriend.


Aww, did your boyfriend criticize you?

Also, notice that you're the one attacking and scrutinizing the game mechanics, whereas my last line was "take it and don't as questions." You do see how your response is laughably ironic?

stoicfaux wrote:

Go look up how railguns work: http://en.wikipedia.org/wiki/Railgun

Also read the description of hybrid rounds: http://wiki.eveonline.com/en/wiki/Lead_Charge_L


Maybe you should read your own links? Neither titanium nor lead are terribly conductive, so neither could effectively be used as a railgun projectile in the first place.

This is like trying to analyze Alice in Wonderland for inaccuracies. Its just not supposed to make sense in a logical way more than a level or two deep.

You fit hybrid charges in the railguns. You lose cap, you do damage. Done.
Foofad
Aliastra
Gallente Federation
#6 - 2011-10-05 01:26:06 UTC
At 2.5 million meters per second, that is one hard hitting fart.
DarkAegix
Center for Advanced Studies
Gallente Federation
#7 - 2011-10-05 01:27:46 UTC
Where can I buy a fart to improve my Rokh's DPS?
Handsome Hussein
#8 - 2011-10-05 01:36:21 UTC
Foofad wrote:
At 2.5 million meters per second, that is one hard hitting fart.

A mighty wind, in fact.

Leaves only the fresh scent of pine.

Bloody Wench
#9 - 2011-10-05 02:08:31 UTC  |  Edited by: Bloody Wench
c) 250km is the upper range of large railguns. Since guns hit "instantly" we will use a value of 0.1 seconds for the projectile's travel time. This means that the lead projectile is traveling at 2,500,000 m/s (2.5 million meters per second.)

Should be
Lim T->0

That's as far as I got before deciding your maths is flawed.

Gee gratz dewd on your mastery of Ke=1/2MV^2

[u]**Shepard Wong Ogeko wrote: **[/u]  CCP should not only make local delayed in highsec, but they should also require one be undocked to use it. Then, even the local spammers have some skin in the game. Support a High Resolution Texture Pack

Ehris Bok
Caldari Provisions
Caldari State
#10 - 2011-10-05 02:29:48 UTC  |  Edited by: Ehris Bok
Have you thought that at 2.5 million meters per second even a light substance is going to pack a sizable kinetic punch. also 2.5mill m/s is a little slow from what ive read about railguns the US millitary has managed to fire a slug at speeds of around 8.6 mill m/s

given this is set 1000s of years in the future speeds of 20mill or more should be more like it. That & these are being fired in space so friction isnt much of an issue :)
stoicfaux
#11 - 2011-10-05 02:39:35 UTC  |  Edited by: stoicfaux
Bloody Wench wrote:
c) 250km is the upper range of large railguns. Since guns hit "instantly" we will use a value of 0.1 seconds for the projectile's travel time. This means that the lead projectile is traveling at 2,500,000 m/s (2.5 million meters per second.)

Should be
Lim T->0

That's as far as I got before deciding your maths is flawed.


Yeah, yeah. At 2.5 million m/s, you're at 83% of the speed of light.edit: Bad speed of light math. Time to hit the sack. Plus, the faster the projectile travels, the less mass it will have. I guess could have just plugged in 0.0008 seconds of flight time as the upper boundary, but it gets really silly.

If you assume 99% of c for the projectile, you're looking at a mass of 8.6437277081851349276334261731994e-8 kg (or 0.000000086 kg (or 0.000003 ounces.))

I'm not sure why you would need a 425mm (aka 16.7 inch) gun to fire something with less mass than a mouse fart. (Which also implies that 425mm doesn't represent an Eve railgun's bore size.) It would also mean that you should be able to carry a nearly lifetime supply of railgun ammo in your pocket.


Quote:
Gee gratz dewd on your mastery of Ke=1/2MV^2


Hey, I wasn't the one who created the numbers. Blame someone at CCP for not doing some basic number crunching.

Pon Farr Memorial: once every 7 years, all the carebears in high-sec must PvP or they will be temp-banned.

stoicfaux
#12 - 2011-10-05 02:48:46 UTC  |  Edited by: stoicfaux
Ehris Bok wrote:
Have you thought that at 2.5 million meters per second even a light substance is going to pack a sizable kinetic punch


Yes. We're looking at 0.91 tons of TNT (less than a ton.) By comparison a cruise missile traveling at ~8400m/s and hitting with only 10% of its mass (assume the rest was fuel) will hit with 2.1 tons of TNT in kinetic energy.

A nuclear tipped missile would deliver thousands to millions of times the energy of a lead round from a rail gun.



edit: Deleted my stupidity.

Doh! I really messed up my lightspeed numbers. 2.5M versus 300M. My apologies. Oops

Pon Farr Memorial: once every 7 years, all the carebears in high-sec must PvP or they will be temp-banned.

Headerman
Native Freshfood
Minmatar Republic
#13 - 2011-10-05 02:54:32 UTC
Pro tip: rail guns use a 'shoe' to fit over the sabot to accellerate it. the 'shoe' then falls away from the sabot after firing. The 'shoe' is a great conductor of electricity, allowing the railgun to work.

Pro tip: (someone has to say it) I FART in your general direction!!

Pro tip: For more details, ask "I'm Farting" in game.

Australian Fanfest Event https://forums.eveonline.com/default.aspx?g=posts&find=unread&t=90062

ThisIsntMyMain
Doomheim
#14 - 2011-10-05 03:27:10 UTC  |  Edited by: ThisIsntMyMain
stoicfaux wrote:
Summary
stuff


The server clock tick is 1 second so lets assume a travel time of 1 second for the maximum range - not 0.1 seconds - so v = 250,000 m/sec

The activation cost of a 425mm railgun is 30 GJoules

E = 0.5 * m * v2

=> m = E / (0.5 * v2)

m = 30 * 10E9 / (0.5 * (250000*250000) = 0.96 kg

So if the railgun is 100% efficient and accelerates the round with 30 GJoules, the rest mass of the projectile is 0.96 kg - which means it is made up of not much titanium but has LOTS of space for the highly destructive PLASMA payload - which is what really does the damage.
Hugo Junkers
Quebec's Underdog League
Quebec United Legions
#15 - 2011-10-05 03:50:24 UTC
stoicfaux wrote:


Yeah, yeah. At 2.5 million m/s, you're at 83% of the speed of light. Plus, the faster the projectile travels, the less mass it will have. I guess could have just plugged in 0.0008 seconds of flight time as the upper boundary, but it gets really silly.

If you assume 99% of c for the projectile, you're looking at a mass of 8.6437277081851349276334261731994e-8 kg (or 0.000000086 kg (or 0.000003 ounces.))




It's the other way around : the more the projectile approaches the speed of light, the bigger its mass.
0ld School
Onslaught Inc
#16 - 2011-10-05 03:58:07 UTC
Headerman wrote:
Pro tip: rail guns use a 'shoe' to fit over the sabot to accellerate it. the 'shoe' then falls away from the sabot after firing. The 'shoe' is a great conductor of electricity, allowing the railgun to work.


From evelopedia:

Quote:

The weapon commonly referred to as a 'Railgun' does not utilize rails within the barrel of the gun that the charge slides on - mounting lugs are not visible on images of the charges.


Pointless. Its a made up game about made-up spaceships using made-up technologies.

Further attempts to use maths/real logic will be met with contradicting quotes from a made-up wiki.
Meridith Akesia
Deep Core Mining Inc.
Caldari State
#17 - 2011-10-05 04:04:43 UTC
lol
Mara Rinn
Cosmic Goo Convertor
#18 - 2011-10-05 04:09:11 UTC
Speed of light in a vacuum is 299,792,458 m/s, thus 2M m/s is less than 1% of the speed of light.
Jiska Ensa
Estrale Frontiers
#19 - 2011-10-05 04:17:32 UTC
Hugo Junkers wrote:
stoicfaux wrote:


Yeah, yeah. At 2.5 million m/s, you're at 83% of the speed of light. Plus, the faster the projectile travels, the less mass it will have. I guess could have just plugged in 0.0008 seconds of flight time as the upper boundary, but it gets really silly.

If you assume 99% of c for the projectile, you're looking at a mass of 8.6437277081851349276334261731994e-8 kg (or 0.000000086 kg (or 0.000003 ounces.))




It's the other way around : the more the projectile approaches the speed of light, the bigger its mass.


This man speaks the truth. That's why you can never break the speed of light using conventional thrust - your mass approaches infinity, thus the force required to accelerate any faster also approaches infinity (time dilation plays a role there too)

That being said, a fart traveling at 82% the speed of light still won't do much damage - high-energy particles travelling near that speed smash into the earth every second in far greater quantities. And I'm pretty sure even armour-tanked ships in Eve have shields that can withstand that.

Also, it may already have been said, but railguns don't just use capacitor juice to launch...they're constantly drawing a significant amount of power (over 2 gigawatts is nothing to sniff at; that's the output of some nuclear power plants). I highly doubt that much energy is being used to make the thing turn and track. In zero gee, in a vacuum. Yah.
stoicfaux
#20 - 2011-10-05 04:18:12 UTC
Cipher Jones wrote:
Plasma has very little mass.

The description of railgun rounds says a "shell of titanium" contains the "lead plasma" and the shell is launched directly. So the mass also includes the (tiny) titanium case.


ThisIsntMyMain wrote:


The server clock tick is 1 second so lets assume a travel time of 1 second for the maximum range - not 0.1 seconds - so v = 250,000 m/sec

That produces a more realistic mass of ~1,200kg, however, a one second flight time is a long time against a fast maneuvering target, such as a ship moving at several hundred to a thousand plus meters per second. Even with good predictive targeting computers, it would be hard to hit something that can be several hundred to several thousand meters away by the time the shell arrives a second later.

Good point in regards to the server heartbeat, but it might be more accurate to say that the server processes all the messages once a second, but the messages are still processed in time order thus allowing sub-second times. Meaning, if you shoot at 3.5 seconds, the server will consider the target's location as of 3.5 seconds instead of at 4.0 seconds for determining range/falloff. Or not. We would need a Dev to attest to the specific details.


Quote:
The activation cost of a 425mm railgun is 30 GJoules
...
So if the railgun is 100% efficient and accelerates the round with 30 GJoules


Nope, 30GJ is nowhere near 100% efficient. 30 GJ is for an unskilled, unbonused railgun. In the best case that I could come up with, namely skills V, 6% gun-cap implants, gun-cap rigs, officer gun, and lead ammo, you can fire a 425mm railgun with a mere 3.807 GJ of energy. Taking efficiency/laws_of_thermodynamics into consideration means that the projectile gets even smaller.


Pon Farr Memorial: once every 7 years, all the carebears in high-sec must PvP or they will be temp-banned.

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