Express angular acceleration of a body in terms of angular speed and angular displacement

Represent angular acceleration in terms of angular speed and time taken.

Introduction || Angular Position and Angular Displacement

A wheel rotates with an angular acceleration given by alpha =4at^3 - 3 bt^3 , where t is the time and a and b ae constants. If the wheel has initial angular speed omega_0 , write the equations for the (a) angular speed (b) angular displacement.

Define angular displacement and angular velocity.