In the household fan, what forms of energy are produced? and why?

Answer 1

As the fan motor rotates it creates kinetic energy in the blades. The energy in the rotating blade is transferred to the air causing it to move again that is an example of kinetic energy. Heat is also generated by the motor and the blade. We cant avoid the effects of good old friction.

Answer 2

Energy is never "produced".
It is always transformed from another form.
Electricity is transformed into the kinetic energy of the moving air, plus heat (as losses), and a little bit of sound and maybe vibration (which mostly ends up as heat anyways.)
It does this because it is designed to do this.