Rotations example: Lab problem to find moment of inertia of a rotating contraption

Thanks to Sofia for finding this sample lab-based problem. It is really similar to our bike wheel lab at school. In fact, had we been in school, we would have done this exact experiment!!

This is another example of a typical lab problem (and how we do labs in real life). What can we measure? What quantities is moment of inertia related to (think torque = I*alpha)? What graph will yield a result from its slope for the quantity we are looking for?

Check this out for a nice example with rotations.