Final answer:
To calculate the frequency of tire tread vibrations when a car moves at 30.0 m/s, we divide the speed by the wavelength (tread pattern spacing), resulting in 1500 Hz. This implies that the tire makes 1500 vibrations per second at that speed.
Step-by-step explanation:
The frequency of vibrations made by a tire tread as the car moves can be calculated using information about the speed of the car and the spacing of the tread pattern.
The question states that the tire has a tread pattern with a crevice every 2.00 cm, and each crevice makes a single vibration as the tire moves. To find the frequency of these vibrations when the car moves at 30.0 m/s, we can use the formula for frequency, which is frequency = speed / wavelength.
First, convert the crevice spacing from centimeters to meters, which gives us 0.02 meters. The speed of the car is given as 30.0 m/s. The wavelength is the distance between crevices, which in this case is the tread pattern spacing. Therefore, the frequency can be calculated as:
Frequency = 30.0 m/s / 0.02 m
This gives us a frequency of 1500 Hz, which means the tire makes 1500 vibrations every second as the car moves at a speed of 30.0 m/s. Understanding tire vibrations is crucial for automotive safety and performance. It helps in tire design and assessing wear patterns.