please explain the principle of superposition in beats
This resulting particle motion is the product of two travelling waves. One part is a sine wave which oscillates with the average frequency f = ½(f1 + f2). This is the frequency which is perceived by a listener. The other part is a cosine wave which oscillates with the difference frequency f = ½(f1 - f2). This term controls the amplitude "envelope" of the wave and causes the perception of "beats". The beat frequency is actually twice the difference frequency, fbeat = (f1 - f2).
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