A wire that has an electric current flowing through it, like our
500 turns of copper wire, becomes a magnet (an electromagnet).
If near a permanent magnet, like the one glued
onto the ice-cream container, it will be attract or
repulse it, depending on which poles are close together.
This means the bottom of the container
with the magnet glued on will move back-and-forth with
the magnet, slapping into the air, creating sound waves.
Our walkman supplies the electric current,
but it turns the electromagnet on and off very fast
to creating a linear (back-and-forth) movement
rather than a rotational one (like inside normal motors).
The linear motion of the our speaker "cone"
creates air pressure
waves that we perceive as sound.