Question

QUESTION If the angular acceleration were doubled for the same duration, by what factor would the angular displacement change

Answer 1

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