Answer :
Final answer:
The speed of the car is 69.012 km/h.
Explanation:
The frequency of the car's oscillations can be calculated using the equation:
f = v / λ
Where f is the frequency, v is the speed of the car, and λ is the distance between the grooves on the tire. In this case, the frequency is given as 71 Hz and the distance between grooves is 0.27 m. Rearranging the equation, we get:
v = f * λ
Substituting the given values, we have:
v = 71 Hz * 0.27 m = 19.17 m/s
To convert this speed to kilometers per hour, we multiply by 3.6 (since 1 m/s is equivalent to 3.6 km/h):
v = 19.17 m/s * 3.6 km/h
= 69.012 km/h (rounded to three decimal places)
