What I didn't see explained in these videos, and which I'm now curious about, is the mechanism by which the hot dogs convert the radio signal into sound? I understand how a loudspeaker works, but since food products typically don't contain coils and magnets, how was the AM signal being demodulated and converted into sound waves?
With any modulation scheme, you have the "carrier signal" and the "message signal." The carrier is the frequency you dial into your radio. The message is the thing you listen to - voice, music, whatever. Those two get "modulated" together and blasted out over an antenna, and ta-daa, radio!
Amplitude Modulation is really, really simple. It's literally just the product of the carrier signal by the message signal. The carrier signal is a really high frequency relative to the message, which is where I'm guessing the "resolution" of the signal comes from.
Now, hot dogs.
Hot dogs probably don't resonate very well. Or, maybe they do, but just a little bit at low-ish frequencies - up to a couple thousand Hertz, but no higher. If that's the case, then a hot dog would act like a low pass filter! Since AM is just the product of a high-frequency carrier and a low-frequency message, a low-pass filter could ostensibly leave behind something that resembles the message signal.
Proper AM demodulation involves diodes and whatnot, but I can't imagine a hot dog has semiconductive properties.
Now, if it's an electrical signal, why can we hear it through the hot dog? A hot dog is not a good antenna. It's bad at inducing an electromagnetic field around itself. Instead, it converts the energy from the radio tower into mechanical force - motion, like the way a speaker moves.
All of this could be wrong. Maybe the hot dog isn't serving as a filter, and it is indeed reproducing the AM carrier signal - it's just too high of a frequency for us to hear it. I don't remember my signal processing classes well enough to say for sure. Maybe my whole "hot dog is a speaker" explanation is bunk. Maybe hot dogs really are semiconductors. Not sure.