Angular Velocity Lab

Conclusion

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

Our first pulley measurements were gathered and were within 0.2 digits. Our second pulley measurements were closer, having roughly a 0.02 difference. Our third pulley seemed to have greater differences, roughly a difference of 2.

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?

The third pulley produced the highest angular velocity, correlating to having the shortest time. The data we took was not super accurate, however, we believe there were a few causes for this. One of the main limitations for accuracy was human error. Specifically for the third pulley, it was hard to time the stop button on the stopwatch accurately, due to it being fast. We had two people taking time and we were still off by at least 0.2 seconds every time. Another limitation is the pulley going too far or too short when it went around. Timing the pulley make one full revolution was challenging, causing data to not be accurately taken.

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.

When you attach the string around a small radius like the ring, there is less torque, but overall angular acceleration. When it is attached to a big radius, there is more torque and could be too much depending on the task needed on hand. The manufacturer may have chose to wrap the cord around the ring because it may be all he or she needs in order to conduct the experiment. It could also just be easier to manage in general.