With what frequency the car wheel rotates, if the point of the car wheel in contact with the road moves

With what frequency the car wheel rotates, if the point of the car wheel in contact with the road moves with an acceleration of 1 km / s. The wheel radius is 45cm.

Centripetal acceleration:
an = V² / R, where an – centripetal acceleration (an = 1 km / s²), V – vehicle speed, R – vehicle wheel radius (R = 45 cm = 0.45 * 10-³ km).
Travel speed:
V = 2Π * R * n, where n is the wheel speed (r / s).
an = V² / R = (2Π * R * n) ² / R = 4Π² * R * n².
Let’s calculate the speed:
n = sqrt (an / (4Π² * R)) = sqrt (1 / (4 * 3.14² * 0.45 * 10-³)) = 7.51 rev / s.
Answer: The car wheel rotates at a frequency of 7.51 rev / s.