Matthias
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Gatineau/Ottawa QC, Canada
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Interesting, but I think that the (current) last poster on the thread probably got it right by asking where the romans go the "air friction" knowledge from. A slung stone only has the potential to heat by a fraction of the energy put into it, and if you take the kinetic energy in minus out you don't have much left over! Look at how much "work" it take to start a fire using wood friction.
The ballistics of the sling - Thom Richardson: 30 m/s X 100g gives 45 Joules. The specific heat of lead is low at 0.16 J/g°C so you need .16 Joules to heat 1 g of lead by only 1 degree C. Our lead needs 16 joules per degree, so the total possible (not even close to possible of course) heating is only ~3 degrees (bringing the lead to a complete stop, not air heating, no convective cooling).
It might be interesting to mention that the examples usually given as "proof" of air friction heating (shuttle, meteors) are really poor. The heating in a shuttle reentry is not skin friction, but compression heating in the shockwaves. The heat leaks across into the boundary layer, where turbulence transfers it to the skin. The shuttle comes in at more than 8 km per second, and reaches speeds of +Mach 10. Most of the engineering that goes into reentry vehicle (or high speed aircraft) design is put into shaping of the leading edges/airframe to keep the cone away from the structure.
Another interesting thing is that due to the extremely low specific heat of lead, you can't really do much damage with it. You can pour hot lead into you hand, for instance (try that with water). If you drop the glans from above heated to 300 degrees (just below melting) into a coffee cup of water, you raise the temperature of the water by only ~5 degrees...
Boiling oil is much more effective.
Matthias (feel free to tear apart my math)
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