Question

The following acoustic sound data was collected during an experiment -- assume the data below represents a complete/full single period of the sound:

t = [0 0.0024 0.0048 0.0072 0.0096 0.0120 0.0144 0.0168 0.0192 0.0216 0.0240]; (Units of seconds)
y = [0 2.4981 4.0420 4.0420 2.4981 0.0000 -2.4981 4.0420 4.0420 -2.4981 0];
Assume the noise is a single pure frequency. What is the fundamental frequency ( Wo = 2π/T ) of this sound -- do not include the units but assume they are [rads/sec)?

Answer 1

The fundamental frequency 2π / 0.0024 rad/s.

Step-by-step explanation:

The fundamental frequency (Wo) of a sound wave can be calculated using the formula Wo = 2π / T, where T is the period of the wave.

In this case, the period is given as the difference between adjacent time values in the t array, which is 0.0024 seconds.

Thus, the fundamental frequency is Wo = 2π / 0.0024 rad/s.