Question

An object of mass m has angular acceleration α = 0.2 rad s^-2. What is the angular displacement covered by the object after 3 seconds? (Assume that the object started with angle zero with zero angular velocity).

Answer 1

Given,

Angular acceleration = α = 0.2 rad s^-2

Time = 3s

Initial velocity = 0

Solution:

θ = ${\displaystyle {\omega }_{0}t+\frac{1}{2}\alpha t^2}$

θ = ${\displaystyle \frac{1}{2}\times 0.2\times 3^2=0.9}$ rad (or) 51°54