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Title: Frequency
Choreography: Yvonne Ng
Dancers: Zhenya Cerneacov, Mairéad Filgate, Amy Hampton, Brendan Wyatt
Photo: David Hou
2012
Copyright: princess productions
Photographed on 16 September at Holyoke (central park), Phillips County, CO. This species is found with some frequency during spring in CO but is much scarcer during fall. Again, I am guessing, but I'd say 5-10 per fall is about right. Peak occurrence is from mid-September into early October. This was one of two birds present at Holyoke that day.
In the waves on a string lab, we saw that the fundamental frequency, or first harmonic, occurred at 13 Hz, and then we saw more and more harmonics at multiples of 13. Why was this?
Remember that the geometric requirement for waves on a string is that there be nodes (places of no motion) at either end of the string. These places are fixed tightly in place. Also remember that 2 bumps is 1 wavelength, as a peak and valley oscillate back and forth.
Thus we see that the 1 bump wave is 1/2 a wavelength, the 2 bump is 1 wavelength or 2/2, the 3 bump is 3/2, and the 4 bump is 4/2 wavelengths.
Each of these wavelengths corresponds to a different frequency, as the waves on the string all have the same velocity. We can calculate this to be 22.1 m/s based on the 2nd harmonic. Since each correspond to a different frequency, each is a different note.
By solving the allowed wavelengths and plugging them into the equation, we can solve for the allowed frequencies. This calculates all possible natural frequencies.