A turntable rotates at a uniform angular speed of 3.0 rads^-1. A record is dropped from rest onto the turntable. Initially the record skids on the turntable but eventually rotates together withe the turntable.
(a) While the record is skidding on the turntable, the angular displacement of the turntable is 0.20rad. Find the average angular acceleration of the record before it achieves the constant speed of the turntable.
I'm writing this with reference to linear motion since the symbols used in rotational are a bit tedious to write, but I'm confident you will understand.
s = ut + [(1/2)at^2)
The Attempt at a Solution
Actually I had some guidance, first that is to find the time of the turntable when it moved 0.2rad while the record was skidding.
Then time is substituted into the second equation I've given above to find the angular acceleration.
The problem is I don't understand what is the relation between the time taken for the turntable to travel 0.2rad and the angular acceleration of the record.