Question

With your tire oscillating at a frequency of 59 Hz and the distance between the grooves at L=0.29 m, what is the speed of your car in kilometer per hour?

a) 133.16 km/h
b) 157.12 km/h
c) 176.68 km/h
d) 198.45 km/h

Answer 1

The speed of the car is approximately 61.6 km/h.

Step-by-step explanation:

To calculate the speed of the car, we need to first find the wavelength of the tire oscillations using the formula:

Wavelength (λ) = speed (v) / frequency (f)

Given that the frequency is 59 Hz and the distance between grooves is 0.29 m, we can calculate the wavelength:

λ = 0.29 m / 1 groove = 0.29 m

Next, we can calculate the speed of the car using the formula:

Speed (v) = wavelength (λ) * frequency (f)

Plugging in the values:

Speed (v) = 0.29 m * 59 Hz = 17.11 m/s

Finally, we can convert the speed to kilometers per hour by multiplying by 3.6:

Speed (v) = 17.11 m/s * 3.6 km/h = 61.6 km/h

Therefore, the speed of your car is approximately 61.6 km/h.