SOLUTION: Needing some help with this one, A sound wave has frequency 50 Hz (i.e. it has wavelength (period) = 0.02 seconds). Within each beat, the highest sound intensity is 100 decibel (d

Algebra ->  Trigonometry-basics -> SOLUTION: Needing some help with this one, A sound wave has frequency 50 Hz (i.e. it has wavelength (period) = 0.02 seconds). Within each beat, the highest sound intensity is 100 decibel (d      Log On


   

Question 968925: Needing some help with this one,
A sound wave has frequency 50 Hz (i.e. it has wavelength (period) = 0.02 seconds). Within each beat, the highest sound intensity is 100 decibel (dB) and the lowest intensity is 60 dB. Supposing that t = 0 corresponds to the low intensity, write down a trigonometric function that describes this sound wave. Sketch the sound wave over two periods.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
y=B%2BAsin%28wx%2Bphi%29
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B=%28100%2B60%29%2F2=160%2F2=80
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P=0.02
0.02=%282pi%29%2Fw
w=%282pi%29%2F0.02
w=100pi
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A=%28100-60%29%2F2=20
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Sine usually starts at 0.
Starting at minimum is a phase shift of -1/4 period.
phi=-%282pi%29%2F4=-pi%2F2
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y=80%2B20sin%28100%2Api%2Ax-pi%2F2%29
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