I'm guessing you watched the first video, the one with a single coil, which, as you said, doesn't specify those details. However, on a later video ( https://www.youtube.com/watch?v=uNbL3tRZeMQ ), where he makes some improvements to the whole circuit, there are some details mentioned in the description, such as
Input voltage: 24V
Number of coils: 4
Wire Gauge: 24AWG
Coil Current: 13A
Coil ID: 1.1"
Coil OD: 1.4"
Coil Length: 0.5"
Coil turns: 200
The final outer diameter is ~2" due to the addition of steel wire to create a magnetic flux guide or "shell".
FET Type: IRLZ44N
On time: ~8 ms at max. speed
Energy input per pulse: 2.6J
Ball mass: 65 grams
Ball kinetic energy: ~0.52J