Question

With your tire oscillating at a frequency of f = 39Hz and the distance between grooves L = 0.25m what is the speed of your car, in per hour?

Answer 1

The speed of the car can be calculated by multiplying the frequency of the tire oscillations by the distance between grooves. To convert this speed to per hour, multiply it by the number of seconds in an hour.

Step-by-step explanation:

The speed of the car can be determined using the formula:

speed = frequency * wavelength

In this case, the frequency of the tire oscillations is given as f = 39 Hz and the distance between grooves is L = 0.25 m. So, the speed of the car can be calculated as:

speed = 39 Hz * 0.25 m = 9.75 m/s

To convert this speed to per hour, we can multiply it by the number of seconds in an hour (3600 seconds):

speed = 9.75 m/s * 3600 s/h = 35100 m/h

Therefore, the speed of the car is 35100 meters per hour.

Answer 2

To find the speed of the car, multiply the tire's oscillation frequency (39 Hz) by the distance between grooves (0.25 m), which gives 9.75 m/s. Converting to speed per hour yields 35.1 km/h.

Step-by-step explanation:

To calculate the speed of the car, we need to use the relationship between frequency (f), the distance between grooves or wavelength (L), and speed (v). The speed of a wave is given by the product of its frequency and wavelength (v = f × L). Given the tire's oscillation frequency of 39 Hz (f = 39 Hz) and the distance between grooves of 0.25 m (L = 0.25 m), we can calculate the speed of the car.

v = f × L = 39 Hz × 0.25 m = 9.75 m/s. To convert this to speed per hour, we multiply by the number of seconds in an hour (3600 s/h).

Speed in m/h = 9.75 m/s × 3600 s/h = 35,100 m/h.

Since 1 m/h is approximately equal to 0.001 km/h, the speed in km/h would be:

Speed in km/h = 35,100 m/h × 0.001 km/m = 35.1 km/h.