A fan blade rotates with angular velocity given by ωz(t)= γ − β t2, where γ = 5

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A fan blade rotates with angular velocity given by ωz(t)= γ − β t2, where γ = 5.20 rad/s and β = 0.770 rad/s3 .

Part A

Calculate the angular acceleration as a function of time t in terms of β and γ.

Express your answer in terms of some or all of the variables β, γ, and t.

Part B

Calculate the instantaneous angular acceleration αz at t0 = 3.5 s .

Enter your answer numerically.

Part C

Calculate the average angular acceleration αav−z for the time interval t=0 to t0 = 3.5 s .

Enter your answer numerically.