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From user27118, I was able to grasp a better understanding of what needed to be done to set up the system of ODEs: \begin{alignat}{2} m_{eq}\ddot{y}_1 &= k_{eq}(z - y_1) + c(\dot{z} - \dot{y}_1) - m_{eq}gy_1 + F_1(t)\\ ...


You need to measure the sound level in decibels. This is a logarithmic scale where zero decibels corresponds to a root mean square pressure of 20 micropascals, and every 20 decibels corresponds to a tenfold increase in the pressure. Once you have measured the sound level and calculated the pressure you can use the equation for the particle velocity: $$ v = ...

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