Procedure: For this experiment we used an apparatus that provides a constant air pressure that will keep the disks and hanging mass pulley "floating/hovering" so that we have virtually no friction.
When collecting data for each seperate trial logger pro showed that angular velocity steadily increased for the portion where the hanging mass is accelerating downward and then alternates to sloping downward as the mass reaches its max distance and disks inertia then begins to wind the string pulling the mass back upward to its initial position.
We then ran each trial with varying hanging mass, disk mass, torque pulley radii and recorded our data in the provided chart.
We then set up a motion sensor underneath the hanging mass so that we could collect data on its velocity and compare both angular and tangental acceleration.
We used the relationship between tangential acceleration and angular acceleration of (a = αr). Our data reflected that both accelerations are direclty related by a factor of the radius with only slight percentage errors due to small unaccunted frictions within the experiment.
Finally we calculated and compared our actual inertia values to our theoretical
values. Calculating each by either using our data and measurements and solving for what we needed by seting up, altering and substituting in out three experiment related equations: ma= mg-T, T*r=I*α, and a = α*r. Our theoretical and actual values did differ by a small bit because of small errors with friction and in our measurements.
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