Hi there!
We can begin by solving for the angular acceleration of the disk:
ωf = ωi + αt
Plug in the given values:
30 = 10 + 5α
20 = 5α
α = 4 rad/sec²
Now, we can use the angular kinematic equation to solve for displacement:
θ = ωit + 1/2αt²
Plug in values:
θ = 10(5) + 1/2(4)(5²)
θ = 50 + 50 = 100 rad
