Asked by Jay
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.
Answers
Answered by
Damon
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
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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