The wave function of a standing wave is y(x, t) = 4.44 mm sin[(32.5 rad/m)x] sin[(754 rad/s)t]. For the two traveling waves that make up this standing wave, find the (d) wave speed.
Verified step by step guidance
1
Identify the wave number (k) and angular frequency (\(\omega\)) from the given standing wave equation. In this case, \(k = 32.5 \text{ rad/m}\) and \(\omega = 754 \text{ rad/s}\).
Recall the relationship between wave speed (v), wave number (k), and angular frequency (\(\omega\)) given by the equation \(v = \frac{\omega}{k}\).
Substitute the values of \(\omega\) and k into the equation to find the wave speed.
Calculate the wave speed using the values substituted in the previous step.
The result from the calculation will give you the wave speed of the traveling waves that make up the standing wave.