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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 angularfrequency in radians per second. The angular frequency ω is related to the frequency f in Hzby the formula:ω=2πfGiven ω=6280 rad/s,f=ω2π=62802π1000 Hz\text{The general form of a sinusoidal waveform is } A\sin (\omega t + \phi), \text{ where } \omega \text{ is the angular} \\ \text{frequency in radians per second. The angular frequency } \omega \text{ is related to the frequency } f \text{ in Hz} \\ \text{by the formula:} \\\omega = 2\pi f \\\text{Given } \omega = 6280 \text{ rad/s,} \\f = \frac{\omega}{2\pi} = \frac{6280}{2\pi} \approx 1000 \text{ Hz}​​

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