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Expression for Standing Waves

The equation ...

Question

The equation of travelling wave is, $y (x, t) = 0.02 s i n (\frac{x}{0.05} + \frac{t}{0.01}) m$
Find:
The wave velocity.

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Solution

The equation of a left travelling wave is of form $y = A s i n (k x + ω t)$
Thus the given wave is a left travelling wave.
Velocity of such a wave is given by $v = \frac{ω}{k} = \frac{1 / 0.01}{1 / 0.05} = 5 m / s$
The velocity would be negative since the wave is left travelling.

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