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    Fundamental frequency of the waveform 130 sin (6280t+30°) is:
    Question

    Fundamental frequency of the waveform 130 sin (6280t+30°) is:

    A.

    1000 HZ

    B.

    200 Hz

    C.

    3000 HZ

    D.

    500 HZ

    Correct option is A

    The general form of a sinusoidal waveform is Asin(ωt+ϕ), where ω is the angular frequency in radians per second.The angular frequency ω is related to the frequency f in Hz by the formula:\text{The general form of a sinusoidal waveform is } A\sin(\omega t + \phi), \text{ where } \omega \text{ is the angular frequency in radians per second.} \\ \text{The angular frequency } \omega \text{ is related to the frequency } f \text{ in Hz by the formula:}

    ω=2πf\omega = 2\pi f

    Given ω=6280 rad/s,\text{Given } \omega = 6280 \text{ rad/s,}

    f=ω2π=62802π1000 Hzf = \frac{\omega}{2\pi} = \frac{6280}{2\pi} \approx 1000 \text{ Hz}​​​​​

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