What is the rotating speed of a three-phase, 30 Hz, 6-pole motor?

To find the rotating speed of a three-phase motor, you can use the formula for synchronous speed, which 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 in Hz,
• ( P ) is the number of poles.

In this case, the frequency ( f ) is 30 Hz and the number of poles ( P ) is 6. Plugging these values into the formula gives:

[ N_s = \frac{120 \times 30}{6} ] [ N_s = \frac{3600}{6} ] [ N_s = 600 , \text{RPM} ]

This calculation shows that the synchronous speed of the motor is 600 RPM. This speed is characteristic of a motor operating at the specified frequency and number of poles. In practical applications, actual operating speeds may vary due to load conditions, but the synchronous speed provides a baseline for the motor's rotational speed under no-load conditions.