High School

What are the amplitude and frequency of the waveform [tex]v(t) = 25\sin(744t)[/tex]?

1) Amplitude: 25, Frequency: 118.5 Hz
2) Amplitude: 25, Frequency: 60 Hz
3) Amplitude: 25, Frequency: 744 Hz
4) Amplitude: -25, Frequency: 0.0018.5 Hz

Answer :

The amplitude of the waveform [tex]v(t) = 25\sin(744t)[/tex] is 25, and the frequency is 118.5 Hz.Thus the option 1) 25 and 118.5 Hz is correct.

In the given waveform [tex]v(t) = 25\sin(744t)[/tex] the coefficient of the sine function (25) represents the amplitude of the waveform.

Amplitude is the maximum displacement of the wave from its equilibrium position. In this case, the amplitude is [tex]25[/tex].

The frequency of the waveform is determined by the coefficient of t inside the sine function, which is [tex]744[/tex].

Frequency represents the number of oscillations or cycles per unit time. To find the frequency, we divide the coefficient by 2π, which gives us

[tex]\text{Frequency} = \frac{744}{2\pi}[/tex] = [tex]118.5 Hz[/tex]

Thus the option 1) 25 and 118.5 Hz is correct.