What is the relationship between the number of turns of the wire and electrical output of the generator?

The number of turns of wire is directly proportional to voltage.

The higher the number of turns of wire the higher the voltage

Since .

Power (output) of a generator = voltage x current. Therefore the higher the voltage the higher the output of the generator.

So, the higher the number of turns of wire the higher the output of the generator.

probably not if net force is zero