A wheel rotates with an angular acceleration given by `alpha= 4at^(2)-3bt^(2)`, where t is the time and a and bare constants. If the wheel has an initial angular speed `w_(0)`, write the equations for (a) the angular speed and (b) the angle tumed through as functions of time.

Explanation

(a)`at^(4)-bt^(3)+omega_(0)`, (b)`a(t^(5))/(5)-b(t^(4))/(4)+omega_(0)t`