A rotating object starts from rest at t = 0 s and has a constant angular acceleration. At a time of t = 2.5 s the object has an angular displacement of 13 rad. What is its displacement θ at a time of t = 5.0 s?

Explanation:

The rotational kinetic equation is given by the formula:

..............(1)

The object is starting from rest, angular speed, w = 0 rad/s

At t = 2.5 sec, angular displacement, θ = 13 rad

Inserting these parameters into equation (1)

At time, t = 5.0 sec, we substitute the value of into the kinematic equation in (1)

newton's first law of motion