We now consider two sound waves with different frequencies which have to the same amplitude. The wave functions of these waves are as follows: y1 (t) = A sin (2πf1t) y2 (t) = A sin (2πf2t)  Find the resultant wave function analytically.  Study how the resulting wave behaves in time.

Principles of Physics: A Calculus-Based Text
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Author:Raymond A. Serway, John W. Jewett
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Chapter14: Superposition And Standing Waves
Section: Chapter Questions
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A wave is modeled by the wave function:

y (x, t) = A sin [ 2π/0.1 m (x - 12 m/s*t)]

 

We now consider two sound waves with different frequencies which have to the same amplitude. The wave functions of these waves are as follows:

y1 (t) = A sin (2πf1t)

y2 (t) = A sin (2πf2t)

 Find the resultant wave function analytically.

 Study how the resulting wave behaves in time.

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