Synchronous speed refers to the speed at which the rotating magnetic field in an induction motor rotates. It is the speed at which the stator's magnetic field rotates relative to the rotor. In an ideal situation, the rotor of an induction motor will rotate at this synchronous speed.
The synchronous speed (Ns) of an induction motor can be calculated using the following formula:
Ns = (120 * f) / P
Where:
Ns is the synchronous speed in revolutions per minute (RPM).
f is the frequency of the electrical supply in Hertz (Hz).
P is the number of poles in the motor.
In this formula, "120" is a constant that converts the frequency from Hertz to RPM, and "P" represents the number of poles in the motor. The number of poles refers to the number of magnetic poles on the stator of the induction motor.
For example, if you have a 4-pole induction motor connected to a 50 Hz power supply, the synchronous speed would be:
Ns = (120 * 50) / 4 = 1500 RPM
Keep in mind that the actual speed at which the motor runs will be slightly less than the synchronous speed due to the slip. The difference between the synchronous speed and the actual rotor speed is called "slip," and it is necessary for the motor to produce torque and operate. The slip varies based on the load conditions and the design of the motor.