Parallel Axis Theorem Experiment

AI Thread Summary
The experiment aims to confirm the parallel axis theorem by measuring the moment of inertia of a rotating disc at varying distances from the central axis. The setup involves recording the time for five complete rotations and calculating the moment of inertia based on mass and radius measurements. A straight line graph is plotted with moment of inertia against the square of the radius, showing a non-zero intercept. The correct relationship for total moment of inertia is established as Itotal = Iapparatus + Idisk + mr^2. The next step involves relating the recorded time for revolutions to the total moment of inertia to validate the theorem.
bobdylan
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Homework Statement



I am currently working on a physics experiment to confirm the parallel axis theorem. To do this, I have the following setup:

aT7vs.png

In this experiment I change the distance between the centre of the rotating disc and the central axis. I record the time for 5 complete rotations and use this to calculate the moment of inertia. I also measure the mass and the radius of the rotating disc. I then plot the moment of inertia against the square of the radius and this produces a straight line graph with a non-zero intercept.

How can I now use this data to confirm the parallel axis theorem?

Homework Equations



8d3ce730f104d2f33db72caec81b55ac055d27c2
and
00162d0dc4ecf6dade58332e43a0161f1185cf62


The Attempt at a Solution


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I think the graph should be of the form:

Itotal = Iapparatus + Idisk + mr^2

Is this correct?

 

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Hello Robert, :welcome:
bobdylan said:
Itotal = Iapparatus + Idisk + mr^2
Is correct. Now you need something to relate the time for five revolutions with ##I_{\rm total}##.
 
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