Question 388: Waves

Question

The equation of wave is $$Y=6 \sin$$ $$\left(12 \pi t-0.02 \pi x+\frac{\pi}{3}\right)$$ where '$$x$$' is in $$m$$ and '$$t$$' in $$\mathrm{s}$$. The velocity of the wave is

Accepted Answer

$$\begin{aligned}
& 	ext { Given: } y=6 \sin \left(12 \pi t-0.02 \pi x+\frac{\pi}{3}ight) \
& \omega t=12 \pi t \
& \Rightarrow \frac{2 \pi}{T}=12 \pi
\end{aligned}$$
$$\begin{aligned}
	herefore \quad T & =\frac{1}{6} \
\Rightarrow n & =6
\end{aligned}$$
Also given $$\frac{2 \pi}{\lambda}=0.02 \pi$$
$$	herefore \quad \lambda=\frac{2}{0.02}=100$$
From equation: $$\mathrm{v}=\mathrm{n} \lambda$$, we get
$$\begin{aligned}
v & =6 	imes 100 \
& =600 \mathrm{~m} / \mathrm{s}
\end{aligned}$$

Answer

$$200 \mathrm{~m} / \mathrm{s}$$

Answer

$$300 \mathrm{~m} / \mathrm{s}$$

Answer

$$400 \mathrm{~m} / \mathrm{s}$$

Answer

$$600 \mathrm{~m} / \mathrm{s}$$

Waves

The equation of wave is $Y=6 \sin \left(12 \pi t-0.02 \pi x+\frac{\pi}{3}\right) where 'x' is in m and 't' in \mathrm{s}$. The velocity of the wave is

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