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What is the amplitude and frequency of the waveform v(t) = 25sin744t respectively?
a) 25 and 118.5 Hz
b) 25 and 60 Hz
c) 25 and 744 Hz
d) -25 and 0.0018.5 Hz

Answer :

The amplitude of the waveform v(t) = 25sin744t is 25, and the frequency is calculated by dividing the angular frequency 744 by 2π to obtain approximately 118.5 Hz. So the correct option is a) 25 and 118.5 Hz.

The given waveform is v(t) = 25sin744t. To find the amplitude and frequency of this waveform, we look at the standard form of a sinusoidal function, which is v(t) = A sin(ωt + φ), where A is the amplitude and ω is the angular frequency.

The amplitude of the given waveform is the coefficient before the sine function, which is 25. To find the frequency, we'll use the relationship between angular frequency (ω) and frequency (f), which is ω = 2πf. Given that the angular frequency in the equation 744t is simply 744, we can solve for the frequency by dividing 744 by 2π, which gives us approximately 118.5 Hz. So the correct option is a) 25 and 118.5 Hz.

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