Ezekiel's Wheel
Your goal is to calculate the moment of inertia of Ezekiel's Wheel in kg m^2.
Choose a distance for the masses to be from the center. (I recommend either all the way out at the end, or all the way in)
Release the mass m from a known height h and time how long it takes t to reach the table in seconds. Do three trials of this, and average them.
Measure the diameter D of the spool the string is wrapped around using a Vernier Caliper.
Record the value of m, h and t and D and r - the radius of the little spool that the string wraps around
Set up both the dynamics and the energy equations to solve for I, the moment of inertia of Ezekiel's Wheel. Show all your steps and work.
Energy
You know m, and you can calculate v from suvat, (Use no a) and omega from v and r. r will be half the diameter. Solve for I. Be sure to convert m to kg, and r to m.
Dynamics:
Solve the Equation # 2 for T, and substitute that into the first equation, and you will have an equation that has m, g, a, and r. Calculate a from suvat, (use no v) and everything else you know.
Here is a very helpful video: