An inductor motor has 48 rotor teeth. How many cycles of the power supply are required for the rotor to make one revolution?

To determine how many cycles of the power supply are needed for the rotor of an inductor motor with 48 rotor teeth to make one complete revolution, it's essential to consider the relationship between the rotor teeth and the alternating current (AC) frequency.

In an induction motor, the number of complete cycles required for the rotor to complete one revolution is calculated based on the number of rotor teeth. The rotor teeth interact with the magnetic field produced by the stator windings, which is energized by AC. For an induction motor, the general principle is that the synchronous speed of the motor (in RPM) is proportional to the frequency of the power supply and the number of poles.

With 48 rotor teeth, it indicates that it takes half the number of cycles to rotate once. Since the magnetic field must effectively 'pass' each tooth to generate movement, every complete cycle corresponds to engaging the teeth.

Thus, for a rotor with 48 teeth, it will require 48 cycles of the power supply for the rotor to complete one full revolution. Each cycle corresponds to one engagement with one of the rotor teeth, and after 48 cycles, every tooth will have been engaged, resulting in one full revolution.

This is why the answer is 48 cycles, as