The tires of a car make 63 revolutions as the car reduces its speed uniformly from 91.0 km/h to 63.0 km/h. the tires have a diameter of 0.88 m. what ws the angular acceleration of the tires?

Angular acceleration,

Explanation:

Given that,

Number of revolution,

Diameter of the car, d = 0.88 m

Radius, r = 0.44 m

Initial speed of the car, u = 91 km/h = 25.27 m/s

Initial angular speed,

Final speed of the car, v = 63 km/h = 17.5 m/s

Final angular speed,

To find,

The angular acceleration of the tires.

Solution,

The angular acceleration of the wire can be calculated using third equation of kinematics as :

So, the angular acceleration of the tires is .