Question

A dragster starts from rest and accelerates down a track. Each tire has a radius of 0.320 m and rolls without slipping. At a distance of 382 m, the angular speed of the wheels is 255 rad/s. Determine (a) the linear speed of the dragster and (b) the magnitude of the angular acceleration of its wheels.

Answer 1

V = omega r = 255 (.320)

382 = (1/2)V t
because distance = average speed time time if a is constant

solve that for t
t = 764 / V

382 = (1/2) a t^2
solve for a, LINEAR aceleration

alpha = angular acceleration = a/r