Append a spectrogram and perform fluid mechanics calculations over a popular frog video
Can we find out the size of the Toad by calculating the water's wavelength using the correct dispersion relation?
Obtaining the fundamental frequency of the excitation: calculating a spectrogram
Solving for the wavelength in the capillary regime of waves yields a value for the toad of 6 milimeters
The value obtained is off by an order of magnitude, as the American Toad has a size of approximately 6cm
-
relative angles and perspective: these effects cannot account for an order of magnitude.
-
viscosity in capillary waves: below 5kHz it can be neglected[1]
-
Faraday Waves: using the capillary waves dispersion relation and solving the inverse problem (i.e. forcing the toad's size to be 6cm) yields a frequency of 340 Hz. Here the fundamental frequency was set to between 1.4kHz and 1.5kHz. Faraday sub-modal waves could account for this phenomena, the final picture being the toad and the air vibrating at ~1.4Khz and the water responding to the toad's vibration at 350Hz. As an argument against it, no explicit mention to CIRCULAR Faraday Waves has been encountered in the bibliography research[2][3]