The speed of the car is 72 km / h. What is the angular speed, frequency and period of revolution

The speed of the car is 72 km / h. What is the angular speed, frequency and period of revolution of the wheel of the car, if the diameter of the wheel is 70 cm? How many revolutions will the wheel make in 10 minutes?

Linear vehicle speed:
V = Π * D / T, where V is the speed of movement (V = 72 km / h = 72 * 1000/3600 = 20 m / s), D is the diameter of the wheel (D = 70 cm = 0.7 m), T – period of rotation of the wheel.
T = Π * D / V = 3.14 * 0.7 / 20 = 0.11 s.
T = 1 / n, where n is the wheel speed (r / s).
n = 1 / T = 1 / 0.11 = 9.1 Hz.
Angular velocity:
ω = V / R = 20 / 0.35 = 57.14 rad / s.
Number of revolutions:
N = t * n, where t is the rotation time (t = 10 min = 10 * 60 = 600 s).
N = t * n = 600 * 9.1 = 5460 rpm.