Final answer:
The speed of a six-pole, 50-cycle motor is calculated using the synchronous speed formula, which results in a speed of 1000 revolutions per minute (RPM).
Step-by-step explanation:
The speed of a six-pole, 50-cycle (Hertz) motor can be determined using the formula for synchronous speed: Ns = (120 × f) / P, where Ns is the synchronous speed in revolutions per minute (RPM), f is the frequency in Hertz, and P is the number of poles. For a six-pole motor running on a 50 Hz power supply, the speed can be calculated as follows:
Ns = (120 × 50) / 6 = 1000 RPM
Therefore, the correct answer is B) 1000 RPM.