Find the normal acceleration of the points of the car wheel in contact with the road if the car

Find the normal acceleration of the points of the car wheel in contact with the road if the car is moving at a speed of V = 72 km / h and its wheels are making n = 8 rev / s.

To find out the normal acceleration of points of the specified car wheel, consider the formula: аn = V ^ 2 / R = V ^ 2 / (V / (2Π * ν)) = 2Π * ν * V ^ 2, where ν is the wheel speed (ν = 8 rev / s); V – vehicle speed (V = 72 km / h = 20 m / s).

Let’s perform the calculation: аn = 2Π * ν * V ^ 2 = 2 * 3.14 * 8 * 20 = 1004.8 m / s2 ≈ 1 km / s2.

Answer: The normal acceleration of the points of the specified car wheel is 1 km / s2.