Liny:
Just simply put, the induction motor is a rotating transformer.
There a rotating electro-magnetic 'B' field created by the 3-phase power supply and the geometry of the stator. Faraday's Law states something like in the presence of a magnetic field, a current carrying conductor is subject to a force F equaling to B.I.L.sin(alpha), B being the magnetic field, I the current in the conductor, L the length of the conductor upon which B is acting, and alpha, the angle between B and I. The conductor here is the rotor bar that develops a current due to the transformer effect between the stator and the squirrel cage rotor bars. F multipied by D, the rotor diameter, generates a torque, which in turn generates motion.
In order to understand the transformer effect one must think about the difference in speed, otherwise known as slip, between the rotating stator magnetic field, and the motor rotor itself. At standstill, the slip is 100% and the induced voltage is high, and at 100% speed (synchronous speed) the slip is 0% and the induced voltage is zero. In the case of an induction motor, the slip is 3 to 5%, and as long as there is slip, there is transformer effect, and thereby, torque.
GH