A fan blade rotates with angular velocity given by 𝜔z(t) = 𝛾 − 𝛽t2, where 𝛾 = 4.95 rad/s and 𝛽 = 0.880 rad/s3. (a) Calcu

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A fan blade rotates with angular velocity givenby 𝜔z(t)= 𝛾 − 𝛽t2,where 𝛾 = 4.95 rad/sand 𝛽 = 0.880 rad/s3.
(a) Calculate the angular acceleration as a function of time.(Do not include units in your answer. Use the following asnecessary: t.)𝛼z(t) =
(b) Calculate the instantaneous angularacceleration 𝛼z at t = 2.75 sand the average angularacceleration 𝛼av-z for the timeinterval t = 0to t = 2.75 s. (Indicate the directionwith the sign of your answer.)
How do these two quantities compare?
|𝛼z| >|𝛼av-z||𝛼z| <|𝛼av-z| |𝛼z|= |𝛼av-z|
If they are different, why are they different?