Answer:
[tex]f=1280Hz[/tex]
Explanation:
In physics, wavelength is the distance traveled by a periodic disturbance that propagates through a medium in one cycle. the wavelength, the frequency and the propagation speed, are linked together by the following mathematical relationship:
[tex]\lambda=\frac{v}{f}[/tex]
Where:
[tex]\lambda=wavelength=2cm=0.02m\\v=propagation\hspace{3} speed=25.6m/s\\f=frequency[/tex]
Solving for [tex]f[/tex] :
[tex]f=\frac{v}{\lambda} =\frac{25.6}{0.02}=1280Hz[/tex]
Therefore the frequency of these vibrations is 1280 Hz.