Parallel Axis Theorem Experiment

Click For Summary
SUMMARY

The discussion centers on a physics experiment designed to confirm the Parallel Axis Theorem using a rotating disc. The experiment involves measuring the time for five complete rotations, the mass, and the radius of the disc to calculate the moment of inertia. The resulting graph of moment of inertia versus the square of the radius should yield a straight line with a non-zero intercept, confirming the theorem. The equation used is Itotal = Iapparatus + Idisk + mr², which accurately relates the total moment of inertia to the apparatus and the disc.

PREREQUISITES
  • Understanding of the Parallel Axis Theorem
  • Familiarity with moment of inertia calculations
  • Knowledge of rotational dynamics
  • Experience with graphing data in physics experiments
NEXT STEPS
  • Research the derivation of the Parallel Axis Theorem
  • Learn about calculating moment of inertia for various shapes
  • Explore methods for measuring rotational motion accurately
  • Investigate the implications of non-zero intercepts in physics graphs
USEFUL FOR

Physics students, educators, and researchers interested in experimental mechanics and the application of the Parallel Axis Theorem in real-world scenarios.

bobdylan
Messages
1
Reaction score
0

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


[/B]
I think the graph should be of the form:

Itotal = Iapparatus + Idisk + mr^2

Is this correct?

 

Attachments

  • upload_2018-3-18_20-13-15.png
    upload_2018-3-18_20-13-15.png
    409 bytes · Views: 578
  • aT7vs.png
    aT7vs.png
    2.7 KB · Views: 1,692
Physics news on Phys.org
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}##.
 

Similar threads

  • · Replies 28 ·
Replies
28
Views
2K
Replies
2
Views
2K
Replies
11
Views
4K
Replies
25
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
11
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 40 ·
2
Replies
40
Views
6K
  • · Replies 5 ·
Replies
5
Views
5K
  • · Replies 2 ·
Replies
2
Views
1K