In this lab, we tied a string to a cart and a pulley. We were supposed to determine the time it would take for the kart to descend the track,
We first calculated the moment of inertia of the two cylinders holding the disk in place. Then we calculated the moment of inertia of the system by adding those moment of inertia of the disk.
This is the graph we got from our data table and it shows the velocities of the x and y direction.
By square rooting the squares of the velocities in the x and y direction and then adding them, we get the graph below which shows the tangential velocity.
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These are our calculations. As can be seen in the image on top, the moment of inertia is 1.92x10^-2kgm^2/s^2.
The image below shows our calculations for which the time it should take for it to drop one meter.
Our experiment was unsuccessful. We were expecting a time of around nine seconds yet it was always around thirteen seconds. After looking at it, the professor said our moment of inertia might be too small even though our calculations are right.
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