High School

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------------------------------------------------ What is the amplitude and frequency of the waveform \( v(t) = 25 \sin 744t \) respectively?

A. 25 and 744 Hz
B. 25 and 60 Hz
C. 25 and 118.5 Hz
D. -25 and 0.0018.5 Hz

Answer :

The amplitude of the waveform is 25 and the frequency is 118.5 Hz, therefore the correct choice is option (C).

1. Given waveform:

v(t) = 25sin(744t).

2. Amplitude (A) = coefficient of the sine function = 25.

3. Frequency (f) can be determined from the angular frequency (ω) using the formula:

f = ω / (2π).

4. Comparing with the given waveform,

ω = 744.

5. Substitute ω into the formula:

f = 744 / (2π).

6. Calculate:

f ≈ 744 / (2 * 3.14) ≈ 744 / 6.28 ≈ 118.5 Hz.

7. Therefore, the amplitude is 25 and the frequency is approximately 118.5 Hz. Option C is correct.

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