The wave equation is y=5 2 (t 0.02 -x 20 ) Find the frequency and… - Vidyadip

Question

The wave equation is $y=5 \sin 2 \pi\left(\frac{t}{0.02}-\frac{x}{20}\right)$
Find the frequency and time periodic.

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Answer

$y=5 \sin \left(\frac{2 \pi t}{0.02}-\frac{2 \pi x}{20}\right)$
It is clear from equation
$\omega t=\frac{2 \pi}{0.02} t$
$\therefore \quad \omega=\frac{2 \pi}{0.02}$
$\frac{2 \pi}{T}=\frac{2 \pi}{0.02} \quad \therefore T=0.02$ second
Frequency $\quad n=\frac{1}{T}=\frac{1}{0.02}=\frac{100}{2}=50 Hz$

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