As in linear motion, for a body having uniform angular acceleration, here derive the equations of motion.

Let consider a particle start rotating with angular velocity ω_{o} and angular acceleration α. At any instant t, let ω be the angular velocity of the particle and θ the angular displacement produced by the particle.

Therefore change in angular velocity in time; **t = ω – ω _{o}**

But, **angular acceleration = change in angular velocity / change taken**

So, **α = (ω – ω _{o})/t**

Then, **ω = ω _{o} + αt … … … (1)**

The t**otal angular displacement = average angular velocity*taken time**

**θ = ω _{o}t + ½ αt^{2} … … … (2)**

Equations (1) and (2) are the equations of **rotational motion.**