A disk at rest experiences a constant angular acceleration for t $=55$ s$,$ at the end of which it is spinning with a frequency of f $=35$ rpm$.$ Please answer the following questions. Part $($a$)$ Write a general expression for the magnitude of the angular velocity of the disk after the acceleration in terms of the Part $($b$)$ Calculate the magnitude of the angular velocity of the disk in radians per second at time t $=55$ seconds.frequency.Part $($c$)$

Write a general expression for the average angular acceleration of the disk aveave in terms of angular velocity.

$$ Part $($d$)$

Calculate the magnitude of the average angular acceleration of the disk aveave from rest to tt $=55$ s in radians per second squared.

$$ Part $($e$)$

Write a general expression for the period TT of the disk in terms of frequency ff$.$

$$ Part $($f$)$

Calculate the magnitude of the period of the disk TT at time tt $=55$ seconds. Give your answer in seconds.