angular velocity lab

 Analysis

Determine the final angular velocity of the ring/disk/shaft/spool system for each case after the weight hits the ground. How is this angular velocity related to the final velocity of the hanging weight?  Be sure to use an analysis technique that makes the most efficient use of your data and your time.  If your calculation incorporates any assumptions, make sure you justify these assumptions based on data that you have analyzed.


 Conclusion

In each case, how do your measured and predicted values for the final angular velocity of the system compare?

They compare pretty well with 2 of them matching and trial 2 or pulley 2 being slightly off from the predicted value. 

Of the three places you attached the string, which produced the highest final angular velocity?  Did your measurements agree with your initial prediction?  Why or why not?  What are the limitations on the accuracy of your measurements?

Trial 1 which was the largest pulley produced the highest final angular velocity. The measurements almost completely matched up with the initial prediction probably because of how I was putting the string on the pulley I could not get it to wind up and release correctly and it probably caused the measurements to be a little off from the predicted values. 

Given your results, how much does it matter where the starter cord is attached?  Why do you think the manufacturer chose to wrap the cord around the ring?  Explain your answers.

Where the cord is attached affects the torque applied to the pulley, which directly influences angular velocity. When the string is attached closer to the center of the pulley, it generates less torque for the same amount of applied force. This results in a lower angular velocity. Manufacturers likely chose to wrap the cord around the ring to maximize torque and therefore increase angular velocity.

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