How Do Mass and Windings Affect Disc Rotation Dynamics?

[oshin]

I am doing a project, but am struggling to find relationships of proportionality or formulae between my dependent variables (angular velocity, displacement, acceleration of the disc and kinetic energy of the system) and my independent variables (falling masses and then the number of winds) or any other relationships that can occur such as how the moment of inertia of the disc may effect the rotational movement. Below is a picture of my setup. It works by winding the disc, and then releasing it to unwind. The disc has two holes which the strings go through and the strings are attached to masses that go over the pulley.

 

[BvU]

Hello oshin, $\qquad$ $\qquad$ !

Here at PF we encourage posters to give it a try and then ask for assistance.
You have a nice setup and mention a bunch of variables; give them a name and make some hypotheses about their relationship in the form of equations.

angular velocity, displacement, acceleration of the disc and kinetic energy of the system, falling masses and the number of winds

You may also need the potential energy of the system and perhaps a damping factor
Next would be to calibrate some parameters, for example: if you assume displacement = $k$ x number of turns, you need to determine $k$