Answer:
 α = 5 rad / s²
Explanation:
This is a rotational kinematics exercise.
They indicate the initial velocity wo = 10 rad / s
       w = w₀ + α t
       α = [tex]\frac{w-w_o }{t}[/tex]
let's calculate
       α = [tex]\frac{30-10}{4}[/tex]
       α = 5 rad / s²
The velocity, the angular relation are the same in all the points of the wheel, the velocities and linear accelerations are the ones that change
      a = α r
      v = w r