Question

what is the angular displacement made by a particle after 5 s, when it stars from rest with an angular acceleration 0.2 rad s power -2

Answer 1

Given conditions,

Time = 5 seconds.

Angular acceleration = 0.2 rad/s²

Initial angular velocity = 0

Using the equation of motion for rotational motion,

   θ = ω₀t + 1/2 αt²

Therefore,  θ = 0 + 0.2/2 × 5²

θ = 0.1 × 25

 θ = 2.5 rad.

Hence, the angular displacement of the particle is 2.5 radian.

Hope it helps.