Final answer:
The frequency of vibrations caused by the car tire's tread pattern as it moves at 30.0 m/s is 1500 Hz. This is found by dividing the car's speed by the distance between crevices after converting the distance to meters (30.0 m/s divided by 0.02 m). So, the correct option is b) 150 Hz.
Step-by-step explanation:
To find the frequency of the vibrations caused by the tire's tread pattern as the car moves, we can use the relationship between distance, speed, and frequency. Given that the crevice on the tire tread causes a vibration every 2.00 cm and the car moves at 30.0 m/s, we can calculate the frequency by dividing the speed of the car by the distance between crevices:
Convert the distance between crevices from cm to m: 2.00 cm = 0.02 m.
Divide the car's speed by the distance between crevices to find the frequency: Frequency = Speed / Distance = 30.0 m/s / 0.02 m.
Calculate the frequency: 30.0 m/s / 0.02 m = 1500 Hz.
Therefore, the correct answer is b) 1500 Hz.