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How many rotations per minute (RPMs) would a four-pole electric generator have to rotate to deliver a frequency of 50 Hz?

1) 1500
2) 1800
3) 3000
4) 3600

Answer :

Final Answer:

The four-pole electric generator would need to rotate at 1500 RPMs to deliver a frequency of 50Hz.

So, option 1) 1500 RPMs is correct.

Explanation:

To determine the rotational speed (in RPMs) of a four-pole electric generator needed to deliver a frequency of 50Hz, we can use the formula for synchronous speed:

Synchronous Speed (N) = (120 * Frequency) / Number of Poles

In this case, the desired frequency is 50Hz, and the generator has four poles. Plugging in these values into the formula:

N = (120 * 50) / 4

N = 1500 RPMs

So, the four-pole electric generator would have to rotate at 1500 RPMs to produce a frequency of 50Hz. This is necessary to ensure that the rotation of the generator's poles synchronizes with the desired electrical frequency, allowing for efficient power generation.

Therefore, the correct option is option 1) 1500 RPMs.

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