A tire has a tread pattern with a crevice every 2.00 cm. The repetitive striking of the crevice edges on the road results in a vibration as the tire moves. What is the frequency of these vibrations if the car moves at 25.6 m/s

Respuesta :

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.