Moment of Inertia
Partners: Mary Schaude, Michael Haydt, Bruce Herman
Date: 2/26-3/16
Date: 2/26-3/16
Purpose
The purpose is to determine the rotational inertia of the point mass two different ways.
Theory
Moment of Inertia, I, is the measurement of an object's ability to resist to changes in a rotational direction. The inertia is changed based on mass, shape, and point on the object. It is measured in kgm^2.
The equation for Moment of Inertia of a point-mass, where m is the mass and r is the radius.
The equation for Moment of Inertia of a point-mass, where m is the mass and r is the radius.
The equation for Moment of Inertia for a long uniform rod through the center; where l is the length.
This equation is the summation of the Moment of Inertia for the rod and the two masses on it.
First the summation of T is changed so that tension, T, can be used to solve for I. Then the equation is substituted for tension. Next the summation of F is derived to solve for T and that is also substituted for T. Finally, the equation is derived to solve for I.
Experimental Technique
Apparatus
-Rod -Masses -3-Step Pulley -Support Rod -Rotary Motion Sensor -Clamp on Super Pulley -Mass Hanger -String -Laptop -DataStudios -MicroSoft Excel -Calculator -Digital Adaptor |
Procedure
1. Set up the Apparatus 2. Tie several knots in a string that is slightly above the ground. 3. Set up DataStudios 4. Attach the hanger to the string and put the string in the notch. 5. Wind up the pulley. 6. Place specified mass on the hanger. 7. Hit start on DataStudios. 8. Drop the Mass Hanger. 9. Stop DataStudios. 10. Record Angular Velocity. 11. Calculate Moment of Inertia. 12. Repeat Steps 4-11 until there are ten trials. 13. Find the average Moment of Inertia. 14. Calculate the Moment of Inertia a different way. 15. Find the Percent Difference. |
Data
Analysis
Conclusion
References
Moment of Inertia. (n.d.). Retrieved March 16, 2015, from http://www.engineeringtoolbox.com/moment-inertia-torque-d_913.html