Answer :

To determine the generator's output frequency, convert 1400 rpm to revolutions per second by dividing by 60, resulting in 23.33 revolutions per second. Since this also equates to the frequency in hertz, the generator's output frequency is 23.33 Hz.

The frequency of the generator's output can be determined by converting the revolutions per minute (rpm) to hertz (Hz) because 1 Hz is equal to 1 cycle per second. Since the generator is running at 1400 rpm, we convert it to Hz using the fact that 1 minute is 60 seconds.

  1. First, divide the rpm by 60 to convert to revolutions per second (rps): 1400 rpm / 60 = 23.33 rps.
  2. Since each revolution corresponds to one cycle, the frequency in hertz (cycles per second) is the same as the revolutions per second: f = 23.33 Hz.

Therefore, the frequency of the generator's output when the car is idling at 1400 rpm is 23.33 Hz.

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