Answer:
By a factor of 2
Explanation:
The angular displacement would change by a factor of 2.
The angular acceleration is represented by the formula
α = Δw / Δt, where
α = angular acceleration
Δw = change in velocity.
Δt = change in time taken
The angular displacement is given by the relation
s = rθ
s = arc length
r = distance
θ = angular displacement
We all know that velocity is the ratio of displacement and time, thus,
v = s/t
Angular acceleration on the other hand says that
α = w/t, substitute w for v, we have
α = s/t ÷ t
α = s/t * 1/t
α = s/t²
We see here that multiplying the acceleration by 2 will only be balanced by increasing the displacement by the same number, 2 in this case
