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Answer :
The amplitude of the waveform v(t) = 25sin(744t) is 25, and the frequency is 118.5 Hz, as determined by comparing the formula with the standard sine wave equation.Therefore, the correct answer is option 1. 25 and 118.5 hz.
The given waveform is expressed as v(t) = 25sin(744t). To determine the amplitude and frequency of this waveform, we need to compare it with the standard form of a sine wave, which is A sin(2πft), where A is the amplitude and f is the frequency.
The amplitude of the wave is the coefficient before the sine function, which represents the peak value of the wave. In this case, the amplitude is simply 25.
The angular frequency ω is given by 2πf, where f is the frequency in hertz (Hz). In the given equation, the angular frequency is 744 rad/s. To find the current frequency, we divide this by 2π:
f = ω / (2π)
f = 744 / (2π)
f ≈ 118.5 Hz
Therefore, the correct answer is that the amplitude is 25 and the frequency is 118.5 Hz.
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