Question

Use F = 1/T as your basis:
11. A tire has a tread pattern with a crevice every 2.00 cm. Each crevice makes a single vibration as the tire moves. What is the frequency of these vibrations if the car moves at 30.0 m/s?

The answer is 1.50 kHz but please show your work.

Answer 1

• Velocity=30m/s

A crevice occurs at 2cm=0.02m

The car travels 30m a second .

Total crevices per second:-

• 30/0.02=1500 crevices

$\\ \rm\rightarrowtail \nu(Frequency)=\dfrac{1}{T}$

Now

$\\ \rm\rightarrowtail \nu=\dfrac{1}{1500s}$

$\\ \rm\rightarrowtail \nu=1500s^{-1}$

$\\ \rm\rightarrowtail \nu=1500Hz$

$\\ \rm\rightarrowtail \nu=1.5KHz$