A fan blade rotates with angular velocity given by ω_{z}(t)=γ−βt^{2}.

A) Calculate the angular acceleration as a function of β, γ and time t.

B) If γ=5.35 rad/s and β=0.760 rad/s^{3}, calculate the instantaneous angular acceleration at t = 2.60 s.

C) If γ=5.35 rad/s and β=0.760 rad/s^{3}, calculate the average angular acceleration for the time interval t = 0 to t = 2.60 s.