At what RPM does a generator produce 60 hertz of alternating current?

A generator produces alternating current (AC) frequency based on its rotational speed, measured in RPM (revolutions per minute). The formula to determine the frequency in Hertz (Hz) from the RPM is derived from the relation:

[ \text{Frequency (Hz)} = \frac{\text{RPM}}{60} \times P ]

where P is the number of poles in the generator. For standard generators used in power applications in the United States, which typically have 2 poles, the formula simplifies to:

[ \text{Frequency (Hz)} = \frac{\text{RPM}}{60} \times 2 ]

In this case, to achieve a frequency of 60 Hz with a 2-pole generator, we can rearrange the formula:

[ 60 = \frac{\text{RPM}}{60} \times 2 ]

This can be solved to find the required RPM:

[ \text{RPM} = 60 \times 30 = 1800 \text{ rpm} ]

So, a generator must operate at 1800 RPM to produce 60 Hz of alternating current, which is the standard frequency for power in the U.S.

The choice indicating 3600 rpm