Lab Members: Mikey Haydt & Bruce Herman
Lab Name: Rotational Inertia Lab
Date: March 2015
Lab Name: Rotational Inertia Lab
Date: March 2015
Purpose:
To determine the moment of inertia for objects both individually and together by observing components of rotational motion.
Theory:
An object rotating along a particular axis has a specific moment of inertia. When a torque is applied to said object, the object will accelerate, going into angular velocity. By deriving equations, we are able to find the experimental moment of inertia.
We used these equations for the theoretical moments of inertia for the disk and ring, respectively.
After that, we derived equations based off of our individual drawings in order to get the equation for experimental moment of inertia:
Experimental Technique:
- Found the dimensions of the disk and ring using a vernier caliper & scale
- Found disk's radii using its diameters
- Set up lab for use in DataStudio
- Made experiment, where we found Angular Acceleration via slope of Angular Velocity vs Time graph
- Did experiment for both Disk Only and Disk w/ Ring; re-ran experiment to find inaccuracies
- Found moment of inertia for ring only by subtracting Disk Only from Disk w/ Ring
- Found disk's radii using its diameters
- Set up lab for use in DataStudio
- Made experiment, where we found Angular Acceleration via slope of Angular Velocity vs Time graph
- Did experiment for both Disk Only and Disk w/ Ring; re-ran experiment to find inaccuracies
- Found moment of inertia for ring only by subtracting Disk Only from Disk w/ Ring
Data:
Analysis:
Conclusion:
Altogether, the lab was a success. For the most part, the answers were close to the original, having a 17.9 %-diff for the Disk Only and a 7.4 %-diff for the Ring Only. Error was most likely caused by any and all energy lost caused by rotational friction in the system, and was accented by any inaccuracies in DataStudio. Overall, the main purpose was found, and the theoretical values proved to be accurate to the experimental values for moment of inertia.
Reference:
Help and pictures: pearsonmylabandmastering.com/northamerica/
http://hyperphysics.phy-astr.gsu.edu/hbase/mi.html
http://hyperphysics.phy-astr.gsu.edu/hbase/mi.html