Question

As a car accelerates its tires increase their angular velocity from 114 rad/s to 131 rad/s in 0.43 seconds. What is the angular acceleration of the tires?

Answer 1

I think it's 39.53

(please do calculate it. I am not completely sure)

Answer 2

Angular acceleration = (change in angular speed) / (time for the change)

Change in angular speed = (speed at the end) - (speed at the start)

Change in angular speed = (131 rad/s) - (114 rad/s) = 17 rad/s

Angular acceleration = (17 rad/s) / (0.43 sec)

Angular acceleration = (17 / 0.43) rad/s²

Angular acceleration = 39.5 rad/s²