Question

An object is executing uniform circular motion with an angular speed of π/12 radian per second. At t = 0 the object starts at an angle Θ = 0 What is the angular displacement of the particle after 4 s ?

Answer 1

In uniform circular motion,
angular velocity remains constant .so, angular acceleration is always zero.
∴ to find angular distance , we have to use formula, Θ = ωt

Given, ω = π/12 rad/s and t = 4 sec
∴ Θ = π/12 × 4 = π/3 rad

Hence, angular distance = π/3 rad

Answer 2

Displacement = Pi divided by 12 is equal to 30.