Amotorcycle, which has an initial linear speed of 7.1 m/s, decelerates to a speed of 1.9 m/s in 6.0 s. each wheel has a radius of 0.65 m and is rotating in a counterclockwise (positive) directions. what is (a) the constant angular acceleration (in rad/s2) and (b) the angular displacement (in rad) of each wheel?

Explanation:

Given that,

Initial linear speed of the motorcycle, u = 7.1 m/s

Final linear speed of the motorcycle, v = 1.9 m/s

Radius of the wheel, r = 0.65 m

Time, t = 6 s

(a) Let a is the linear acceleration. It can be calculated as :

If is the angular acceleration. The relation is given by :

(b) Let d is the linear displacement.

Let is the angular displacement

Hence, this is the required solution.