How fast would a pancake have to be moving to be lethal.

Location
Austin
Assuming it's a fluffy american style and not a crepe. I don't know how it came up in the pathfinder game last night, but it's been bugging me and I don't know the math to calculate it out.
 

Relativistic Ravioli

[Begin quote] -------------------------------------------------------------------- To: humor@ MIT.EDU Subject: glen mccready: Under enough pressure, ravioli behaves as a gas. Date: Tue, 29 Dec 1998 16:42:06 EST From: "Nathan J. Williams" There was still one aspect of the whole concept of a...
Q99 (link to SB above) said:
[Begin quote]
--------------------------------------------------------------------
To: humor@ MIT.EDU
Subject: glen mccready: Under enough pressure, ravioli behaves as a gas.
Date: Tue, 29 Dec 1998 16:42:06 EST
From: "Nathan J. Williams"
There was still one aspect of the whole concept of a ravioli-loaded railgun type weapon which we, lolling about late on a weeknight, with only a few neurons randomly firing, could not resolve. Would a chunk of metal (can of ravioli) impacting another, larger, rest mass structure (star destroyer) produce an "explosion" effect, or simply punch an appropriately shaped hole as it passed through? Bill?

Bill's response:

What am I, the neighborhood blast physicist??? Well, maybe... :)
It all depends on speed of impact versus the speed of sound in the target (what is called the Mach number, where Mach 1 means the speed of sound, Mach 2 is twice the speed of sound, etc), and the speed of the ravioli versus the speed of light in the target (which I'll call the Cerenkov number, where Cerenkov 1 is the speed of light in anything; Cerenkov 1.3 is the speed of high-energy protons in a water-cooled reactor (that's why you get that nifty blue glow), and you can get up to Cerenkov 2.4 using diamonds and nuclear accellerators. In the late 40's people used to talk about Cerenkov numbers, but they don't anymore. Pity.). Lastly, there's the ravioli velocity expressed as a fraction of the speed of light in a vacuum (that is, as a fraction of "c"). "C" velocities are always between
0 and 1.

At low speeds (REAL low) the ravioli will simply flow over the surface, yielding a space-cruiser with a distinctly Italian paint job.

Faster (still well below speed-of-sound in the target) the metal of the space-cruiser's skin will distort downward, making what we Boston drivers call a "small dent".

Faster still, you may have a "big dent" or maybe even a "big dent with a hole in the middle", caused by the ravioli having enough energy to push the dent through, stretching and thinning the hull metal till the metal finally tears in the middle of the dent.

Getting up past Mach 1 (say, 5000 feet/sec for steel), you start to get punch-a-hole-shaped-like-the-object effects, because the metal is being asked to move faster than the binding forces in the object can propagate the "HEY! MOVE!" information. (After all, sound is just the binding forces between atoms in a material moving the adjacent atoms -- and the speed of sound is how fast the message to "move" can propagate.) From this, we see that WileE Coyote often reached far-supersonic speeds because he often punched silhouette-type holes in rocks, cliffs, trucks, etc.

Around Mach 4 or so, another phenomenon starts -- compressive heating. This is where the leading edge of the ravioli actually starts being heated by compression (remember PV=nRT, the ideal gas law?) Well, ravioli isn't a gas, but under enough pressure, ravioli behaves as a gas. It is compressed at the instant of impact and gets hot -- very hot. Likewise, the impact point on the hull is compressed and gets hot. Both turn to gasses -- real gasses, glowing-white-hot gasses. The gasses expand spherically, causing crater-like effects, including a raised rim and a basically parabolic shape. In the center of the crater, some material is vaporized, then there's a melt zone, then a larger "bent" zone, and the raised rim is caused because the gas expansion bubble center point (the bending force) is actually *inside* the hull plate. If the hull plate isn't thick enough, then the gas-expansion bubble pushes through to the other side, and you get a structural breach event (technically speaking, a "big hole") in the side of the space-cruiser.

Compressive heating really hits the stride up around 20,000 feet/sec (Mach 4 in steel, Mach 15 in air) and continues as a major factor all the way up to the high fractional Cerenkov speeds, where nuclear forces begin to take effect.
Aside: the "re-entry friction heating" that spacecraft endure when the reenter the atmosphere is NOT friction. It's really compressive heating of the air in the path. As long as the spacecraft is faster than Mach 1, the air can't know to get out of the way, so it bunches up in front of the spacecraft. When you squeeze any gas, it gets hot. So, the glowing "reentry gas" is really just squeezed air, which heats the spacecraft heat shield by conduction and infrared. The hypersonic ravioli can be expected to behave similarly.

As we increase speed from the high Mach numbers (about 10 miles/sec) all the way up to about 150,000 miles/sec, not much different happens except that the amount of kinetic energy (which turns into compressive heat) increases. This is a huge range of velocity, but it's uninteresting velocity.

At high fractional Cerenkov speeds, the ravioli is now beginning to travel at relativistic velocities. Among other things, this means that the ravioli is aging more slowly than usual, and the ravioli can looks compressed in the direction of travel. But that's really not important right now.

As we pass Cerenkov 1.0 in the target, we get a new phenomenon -- Cerenkov radiation. This is that distinctive blue glow seen around water-cooled reactors. It's just (relatively) harmless light (harmless compared to the other blast effects, that is). I mention it only because it's so nifty...

At around .9 c (Cerenkov 1.1) , the ravioli starts to perceptibly weigh more. It's just a relativistic mass increase -- all the additional weight is actually energy, available to do compressive heating upon impact. The extra weight is converted to heat energy according to the equation E=mc^2; it looks like compressive heating but it's not. [Here's where I'm a little hazy on the numbers; I'm at work and don't have time to rederive the Lorentz transformations.]

At around .985 c (Cerenkov 1.2 or so), the ravioli now weighs twice what it used to weigh. For a one pound can, that's two pounds... or about sixty megatons of excess energy. All of it turns to heat on impact. Probably very little is left of the space-cruiser.

At around .998 c, the impacting ravioli begins to behave less like ravioli and more like an extremely intense radiation beam. Protons in the water of the ravioli begin to successfully penetrate the nuclei of the hull metal. Thermonuclear interactions, such as hydrogen fusion, may take place in the tomato sauce.

At around .9998 c, the ravioli radiation beam is still wimpy as far as nuclear accellerator energy is concerned, but because there is so much of it, we can expect a truly powerful blast of mixed radiation coming out of the impact site. Radiation, not mechanical blast, may become the largest hazard to any surviving crew members.

At around .9999999 c, the ravioli radiation may begin to produce "interesting" nuclear particles and events (heavy, short-lived particles).

At around .999999999999 c, the ravioli impact site may begin to resemble conditions in the original "big bang"; equilibrium between matter and energy; free pair production; antimatter and matter coexisting in equilibrium with a very intense gamma-ray flux, etc.[1]

Past that, who knows? It may be possible to generate quantum black holes given a sufficiently high velocity can of ravioli.
--Bill
[1]According to physicist W. Murray, we may also expect raining frogs, plagues of locusts, cats and dogs living together, real Old Testament
destruction. You get the idea...
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In a vacuum, you can replace the ravioli with an equivalent mass of pancake.

Like @Cloak&Dagger says, at hypersonic speeds the pancake is more explosive than the same amount of explosives. However unlike Cloak&dagger says, that's not the upper limit, you can crank up the speed until you thermonuclear bomb power, and with even more speed you can get more exotic effects like spacetime warping or Big Bang effects. See the quote above.

In air you have a problem, it will disintegrate at even low subsonic speeds.

If you put in a container, or bake it hard you might do something, but with a pure fluffy one it's diffult.

Maybe a very large one, like one tonne, with a parachute for not going too fast and a JDAM kit to guide it?
Is crushing of skeleton, internal organs, and suffocation an acceptable alternative to blunt force trauma?
 
Like @Cloak&Dagger says, at hypersonic speeds the pancake is more explosive than the same amount of explosives. However unlike Cloak&dagger says, that's not the upper limit, you can crank up the speed until you thermonuclear bomb power, and with even more speed you can get more exotic effects like spacetime warping or Big Bang effects. See the quote above.

1km/s IS the upper limit. It's already too much power. The question is how fast does it need to go to kill someone. Any extra speed is wasted.
 
There is no possible way to kill someone with a pancake that isn't wasteful. At minimum, you have wasted a pancake!
 
I'm pretty sure a pancake traveling at about 800 feet per second could kill someone.
 
I'm pretty sure that the lethal speed is higher than the speed at which the pancake breaks up due to atmospheric forces.

In other words, either the pancake wasn't launched, or by the time it hits it's no longer a pancake.
 
The effective structural strength of a pancake depends on its size. A large pancake will face much greater aerodynamic forces while simultaneously having less structural strength. As such, smaller, more spherical pancakes could be launched much faster before they face disintegration.

So someone should trawl the wikipedia list of pancakes and find the smallest, roundest pancakes that exist. Those should be the deadliest. My guess is either Poffertjes or Takoyaki.
 
The effective structural strength of a pancake depends on its size. A large pancake will face much greater aerodynamic forces while simultaneously having less structural strength. As such, smaller, more spherical pancakes could be launched much faster before they face disintegration.

So someone should trawl the wikipedia list of pancakes and find the smallest, roundest pancakes that exist. Those should be the deadliest. My guess is either Poffertjes or Takoyaki.

Alternately, or perhaps concurrently, there are many recipes for pancakes. And who's to say that using tungsten instead of flour isn't acceptable?
 
Your teeth must be very impressive.
No, but a tungsten pancake will hold together like crap if you use powdered stuff. It don't bind like flour at the temperatures used for your average griddle.

Getting it into swallowable-size pieces will not be difficult .Getting it to stay pancake-shaped is the tricky bit.
 
Interestingly enough, HMX explosive in WWII was codenamed 'Aunt Jemimah'. It could mixed into flour, baked and even eaten, while still useful as ordnance.

Something to think about if you come across a stack of flapjacks with a detonator instead of a pat of butter on top.
 
No, but a tungsten pancake will hold together like crap if you use powdered stuff. It don't bind like flour at the temperatures used for your average griddle.

Getting it into swallowable-size pieces will not be difficult .Getting it to stay pancake-shaped is the tricky bit.
While that's true, that would defeat the point of including tungsten in the recipe for stability. A tungsten pancake soft enough to be eaten would be no more durable a projectile than a more conventional pancake, and thus no more lethal.

An argument could perhaps be made for tungsten shrapnel added into the pancake like blueberries or chocolate, but that would just make the pancake a delivery vehicle, and I wouldn't call it edible either.
 
Adding Tungsten dust would increase the mass of the pancake, which increases its inertia. Meaning that it can fly further before disintegrating to the point that it no longer counts as a pancake. More massive bits of shredded pancake require more energy to accelerate, so at equal aerodynamic stresses they'll stay close to one another for longer than a lighter pancake. This is a similar idea as with a tamper in a nuclear bomb, where you use sheer inertia to hold something together for a fraction longer.

So if you have some kind of magical technology to accelerate a pancake without disintegrating it, you could get more range out of the system by mixing depleted uranium into the flour.
 
Adding Tungsten dust would increase the mass of the pancake, which increases its inertia. Meaning that it can fly further before disintegrating to the point that it no longer counts as a pancake. More massive bits of shredded pancake require more energy to accelerate, so at equal aerodynamic stresses they'll stay close to one another for longer than a lighter pancake. This is a similar idea as with a tamper in a nuclear bomb, where you use sheer inertia to hold something together for a fraction longer.

So if you have some kind of magical technology to accelerate a pancake without disintegrating it, you could get more range out of the system by mixing depleted uranium into the flour.

What you need is a depleted uranium pancake :V
 
What you need is a depleted uranium pancake :V

If you're going to that kind of trouble to increase the density of your projectile to reduce the size of the impact area of the armour it's designed to punch through you may as well use an Osmium slug, call it a day, then retire to a bar and enjoy an after-work cocktail.
 
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