Angular Acceleration
The angular acceleration α of a rotating body is its rate of change of angular velocity ω. If a small angular velocity change δω change occurs in a small time interval δt, the angular acceleration α is given by:
α = lim_{δt>0}(δωδt ) = dωdt
and is measured in rad s^{2}. The equations for uniform linear acceleration have rotational analogue which are:
Angular  Linear 

ω = &omega_{0} + αt

v = v_{0} + aΔt

(θ/t) = (ω + ω_{0})/2

<v> = (v + v_{0})/2

θ = θ_{0} + ω_{0}t + 1/2 αt^{2}

x = x_{0} + v_{0}&Deltat + (1/2)aΔt^{2}

&omega^{2} = ω_{0}^{2} + 2αθ

v^{2} = v_{0}^{2} + 2a(x  x_{0}) 
where <v> is the average velocity, ω_{0} is the initial angular velocity and ω is the finial velocity (both in rad s^{1} after the body has rotated through angular displacement θ (rad) with constant angular acceleration α (rad s^{2} in a time interval t(s).