If two tuning forks are struck simultaneously with the
Chapter 7, Problem 40(choose chapter or problem)
If two tuning forks are struck simultaneously with the same force and are then held at the same distance from the eardrum, the pressure on the outside of the eardrum at time t is given by where a, , and are constants. If and are almost equal, a tone is produced that alternates between loudness and virtual silence. This phenomenon is known as beats. (a) Use a sum-to-product formula to express as a product. (b) Show that may be considered as a cosine wave with approximate period and variable amplitude Find the maximum amplitude. (c) Shown in the figure is a graph of the equation pt cos 4.5t cos 3.5t.
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