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- Homework Statement
- What is the speed ##v## in terms of the angular frequencies and wavelengths?

Sketch ##y1+y2## as a function of ##x##, at some time ##t##.

If you stood in a path of these sound waves, what frequency would you hear? What is the distance between points where the sound disappears?

- Relevant Equations
- $$v=f\lambda$$

$$y(x,t)=Acos(\frac{2\pi x}{\lambda}-\omega t)$$

##-w1## and ##-w2## are to shift the cosine graph to the right, and ##\frac{2pi}{\lambda}## is to stretch the graph. But I can't seem to draw an appropriate ##y1+y2## graph (quite irregular) and I struggle to find the resultant frequency and wavelength. Also, why is there angular frequency in a sound wave?

Is it possible to solve this question with the knowledge of A-level physics? (##v=f\lambda##, transverse wave, longitudinal wave, etc.)

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