The formula for **synchronous speed** (\(N_s\)) of an electric motor is given by:
\[
N_s = \frac{120 \times f}{P}
\]
Where:
- \(N_s\) is the synchronous speed in **RPM (revolutions per minute)**.
- \(f\) is the **frequency** of the AC supply in **Hz (Hertz)**.
- \(P\) is the **number of poles** in the motor.
This formula helps determine the speed at which the magnetic field of the motor rotates. It's the theoretical speed at which the motor's rotor would rotate if there were no losses, such as friction or slip.