Lab 16 Angular Acceleration
November 2 2016
Goal:
We wish to use our knowledge of moment of inertia concepts to determine a theoretical moment of inertia for our apparatus. We will compare this to our experimentally derived moment of inertia in order to test our knowledge.
Procedure and Analysis:
The main equations we are concerned with are below.
Fnet = ma
Torque = I*(angular accel)
We determine how we will calculate our I (moment of inertia) both experimentally and theoretically.
We can measure the mass of our hanging weight and we can also measure the angular acceleration of the disks so it becomes a simple matter of plugging our data into our equations in order to find our experimental and theoretical I for each trial.
Our organized data organized more neatly. sort've.
Conclusion:
When the hanging mass is doubled, the angular acceleration doubles. When the radius is doubled, the angular acceleration is doubled. When considering trials #2 and #4, #2 has twice the mass but half the radius of #4; their accelerations are about equal.
We wish to use our knowledge of moment of inertia concepts to determine a theoretical moment of inertia for our apparatus. We will compare this to our experimentally derived moment of inertia in order to test our knowledge.
Procedure and Analysis:
The apparatus is composed of 2 disks stacked on top of each other. A mass hangs from a string connected to a torque pulley. The torque pulley is attached to the upper disk, and the force from the pulley will be applied at a different radii depending on which trial we are conducting. For the majority of the trials, the disks will spin independently of each other, so we are mostly only concerned with the top disk. We will run 6 trials, each trial will have either a different hanging mass, different disk mass, or different radius for the force applied.
Fnet = ma
Torque = I*(angular accel)
We determine how we will calculate our I (moment of inertia) both experimentally and theoretically.
We can measure the mass of our hanging weight and we can also measure the angular acceleration of the disks so it becomes a simple matter of plugging our data into our equations in order to find our experimental and theoretical I for each trial.
A sample of our data collection process.
Our organized data organized more neatly. sort've.
Conclusion:
When the hanging mass is doubled, the angular acceleration doubles. When the radius is doubled, the angular acceleration is doubled. When considering trials #2 and #4, #2 has twice the mass but half the radius of #4; their accelerations are about equal.
We had about 10% error when comparing our experimental and theoretical moment of inertia.
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