Answer :
To find the frequency of the generated voltage in an AC generator, we need to use the formula that relates the rotational speed of the generator, the number of poles, and the frequency of the voltage.
The formula to calculate the frequency [tex]f[/tex] is:
[tex]f = \left(\frac{N \times P}{120}\right)[/tex]
where:
- [tex]N[/tex] is the rotational speed in revolutions per minute (rpm).
- [tex]P[/tex] is the number of poles.
In this case, the generator has:
- [tex]N = 800 \text{ rpm}[/tex]
- [tex]P = 6 \text{ poles}[/tex]
Plugging these values into the formula gives:
[tex]f = \left(\frac{800 \times 6}{120}\right)[/tex]
Calculating further:
[tex]f = \left(\frac{4800}{120}\right) = 40 \text{ Hz}[/tex]
Therefore, the frequency of the generated voltage is 40 Hz.
This means that the generator produces an alternating current of 40 cycles per second. This calculation is crucial in engineering, particularly in electrical engineering, as it helps to ensure that devices and systems are designed to operate at the correct frequency.
