A motorcycle, which has an initial linear speed of 9.8 m/s, decelerates to a speed of 2.2 m/s in 3.4 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

The angular acceleration and angular displacement is and 31.34 rad .

Explanation:

Given :

Initial linear speed , u = 9.8 m/s .

Final speed , v = 2.2 m/s .

Time taken , t = 3.4 s .

Radius of wheel , r = 0.65 m .

So , decelerates of wheel is given by :

Therefore , angular velocity is given by :

Now , linear displacement is :

Therefore , angular displacement is :

Hence , this is the required solution .

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