Final answer:
The frequency of the vibrations produced by the tire's tread pattern is 1500 Hz when the car moves at a speed of 30.0 m/s.
Step-by-step explanation:
To calculate the frequency of the vibrations made by the tire's tread pattern, we can use the relationship that frequency equals speed divided by wavelength. Since the car moves at 30.0 m/s and the wavelength (the distance between crevices) is 2.00 cm (which is 0.02 m), the frequency can be found using the formula:
f = v / λ
Substituting the given values:
f = 30.0 m/s / 0.02 m
f = 1500 Hz
Thus, the tire tread pattern produces vibrations at a frequency of 1500 Hz when the car is moving at 30.0 m/s.