- #1
kahless2005
- 46
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Given for the problem:
A speaker sends out two sound waves with equal Amplitudes but the frequencies are f(1) and f(2) respectively. The motion of sound as w = A * cos(k*x - t*(Omega)). The wave number's and the angular frequency's definition are the same for light.
Find for the problem:
Show that at a distance x directly in front of the speaker, there is destructive interference between the waves with a frequency f(1) - f(2).
My solution so far:
w(1) = A * cos((2PI/(Lambda(1))) * x - (2PI * f(1) * t)
w(2) = A * cos((2PI/(Lambda(2))) * x - (2PI * f(2) * t)
I assume that the final equation will be in the form of:
dt = (x / v) - t
where v is the speed of sound
A little advice please!
A speaker sends out two sound waves with equal Amplitudes but the frequencies are f(1) and f(2) respectively. The motion of sound as w = A * cos(k*x - t*(Omega)). The wave number's and the angular frequency's definition are the same for light.
Find for the problem:
Show that at a distance x directly in front of the speaker, there is destructive interference between the waves with a frequency f(1) - f(2).
My solution so far:
w(1) = A * cos((2PI/(Lambda(1))) * x - (2PI * f(1) * t)
w(2) = A * cos((2PI/(Lambda(2))) * x - (2PI * f(2) * t)
I assume that the final equation will be in the form of:
dt = (x / v) - t
where v is the speed of sound
A little advice please!