Rankers Physics

Waves and its Characteristics: Practice Problem & Solution

The frequency of sinusoidal wave $y = 0.40 \cos[2000t + 0.80]$ would be: (1992)
$1000\pi \text{ Hz}$
$2000 \text{ Hz}$
$20 \text{ Hz}$
$\frac{1000}{\pi} \text{ Hz}$

Solution Explained:

To solve this problem, we apply the core principles of Waves and its Characteristics. Understanding the underlying formula is key to arriving at the correct answer below:

Comparing with $y = A \cos(\omega t + \phi)$, $\omega = 2000$. Since $\omega = 2\pi f$, $f = \frac{2000}{2\pi} = \frac{1000}{\pi} \text{ Hz}$.

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