What is the synchronous speed of an AC induction motor that has six poles and operates with a 60-Hz power supply?

Synchronous speed in an AC induction motor can be calculated using the formula:

[ \text{Synchronous Speed (RPM)} = \frac{120 \times \text{Frequency (Hz)}}{\text{Number of Poles}} ]

Given that the frequency of the power supply is 60 Hz and the motor has six poles, we can substitute these values into the formula:

[ \text{Synchronous Speed} = \frac{120 \times 60}{6} ]

Calculating this gives:

[ \text{Synchronous Speed} = \frac{7200}{6} = 1200 \text{ RPM} ]

This confirms that the synchronous speed of an AC induction motor with six poles operating at 60 Hz is indeed 1,200 RPM. Understanding synchronous speed is crucial for determining how well an induction motor will perform in various applications, as it relates directly to the motor's efficiency and operational capacity.