Please do you a favour and don't take the cited article too seriously. The two firing modes are mere speculation. Perhaps interesting for a game however.
There is a big problem with this article, the sling ballistic performance on page 36 onwards as a base for the conclusions. Normally I don't use powerful words, but I have to do in this case: it is the greatest crap concerning ballistics I ever read in the last 20 years, I'm sorry to say. The statement alone that it takes an impact of 70 footpound to brake bones but 2 footponds to pierce the human body, is a horror to read for someone who has the slighest knowledge of terminal ballistics. Such statements make no sense for obvious reasons because the energy of a projectile is not the unit for measuring penetration power. Do you really believe that a soccer ball with 2 footponds energy would be able to penetrate the human body? You have to measure the energy per square footage to be able to say anything helpful for judging penetration capabilities.
Please believe me that a stone shot by a sling will never be able to reach the necessary energy to penetrate human tissue, let alone cloth or armor (it is nearly ridiculous to speak about such things). Why? Because a stone is a big projectile. You need 0,1 Joule/square-mm minimum of energy density to pierce human tissue. A simple cloth will multiply this. For example, a ball of 44 mm diameter will have an energy density of 0,085 J/square-mm when having an energy of 129 Joule (1 footpound is 1,36 Joule). Do you believe anything shot from a sling could penetrate with 2 footponds (2,72 Joule)?
That the article takes Hatchers RSP for judging sling bullet performance is as logical as irrelevant because the impact of a bullet has nothing to do with its effectiveness (ok, if you drive a car against a person, also the impact can be effective). All modern formulas use the energy as the factor for effectiveness.
A lead sling bullet could penetrate sometimes when it hit with an edge. Xenophon tells us about it. But don't thing that it could penetrate deep into the body and kill. Xenophon tells us too that it penetrates and disappears in the tissue. That means in many cases a superficial wound.
It is doubtful what energy a sling bullet could achieve. Data is very mixed, ranging from 30 Joule to 120 Joule. When we take the data of the article (two ounces bullet and 170 foot/second) we get an energy of about 63 Joule (with is in the range of an arrow shot by a heavier bow). Not nearly enough to penetrate deep into the body and not enough to kill an armored person. A normal .38 Special bullet has about 300 Joule, a .45. ACP about 500 Joule. That the author compares the sling with a .45 ACP pistol is only the peak of painfulness in this article.
Maybe you are not convinced. I sometime have the feeling that people like to have the sling as an ancient secret super weapon. It is not. There is a reason that slings were used only on small scales. Alexanders took with him javelinmen and archers from Crete but slingers were not explicitly labelled. Why, if it was an equivalent to modern handguns? There is a study of the U.S. Army Land Warfare Laboratory which gives us some data what non-penetrating projectiles like sling bullets can achieve, "dangerous injuries" between 40 and 120 Joule (f.e. contusions, broken ribs, blindness) and "severe injuries" about 120 Jolue (f.e. inner bleeding, broken skull). Look at the possible energies for sling bullets and you see that unarmored persons were in great danger. But add armor and shields ...
A last word: David was no ancient Jeff Cooper with a form of handgun against a dump ape named Goliath. He was a very brave young man, very good with his sling, and he hit his armored enemy at the one and only place that could win him the fight and save his live, the unarmored face of Goliath.
Edit: Unfortunately I don't have literature in English to cite. For those able to read German a look into Kneubuehl, Coupland, Rothschild, Thali "Wundballistik", 3. Aufl. 2008, S. 253 ff. would be helpful.
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