Question

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

Answer 1

`f=1280Hz`

Step-by-step 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:

`\lambda=(v)/(f)`

Where:

`\lambda=wavelength=2cm=0.02m\\v=propagation\hspace{3} speed=25.6m/s\\f=frequency`

Solving for
`f` :

`f=(v)/(\lambda) =(25.6)/(0.02)=1280Hz`

Therefore the frequency of these vibrations is 1280 Hz.