physics

Two tuning forks are sounded together. One has a frequency of 741 Hz and the other a frequency of 715 Hz. Calculate the beat frequency that would be produced.

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asked by Jay
  1. x = sin (2pi*741t)
    y = sin (2pi*715t)

    x+y= sin (2pi*741t)+sin(2pi*715t)

    but
    sin a + sin b= 2 sin.5(a+b)cos.5(a-b)
    so
    x+y =2 [sin average] cos half difference
    every max of the cosine, either + or - is a big noise so what you hear if they are close is the average frequency times the difference frequency
    741 - 715 = 26 Hz

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    posted by Damon

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