A fan blade rotates with angular velocity given by ωz(t) = γ - βt2.
a) Calculate the angular acceleration as a function of time.
b) If γ = 5.05 rad/s and β = 0.805 rad/s3 , calculate the instantaneous angular acceleration αz at t = 3.10 s .
c) If γ = 5.05 rad/s and β = 0.805 rad/s3 , calculate the average angular acceleration αav - z for the time interval t = 0 to t = 3.10 s .
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