Centripetal Force With A Motor
Name: Carlos Hernandez
Lab Partners: Dhalia Tran, Ariel De Leon
Date: 10-3-2016
1. Our job for this lab is to understand and show the relationship between Angle Theta and The angular velocity (w).
2. So for this experiment we have a system that looks exactly like the above, the middle top part rotates causing the string to rotate as well . The angle and height little h are all dependent on the angular velocity, the first thing we do is find a few key measurements that we will need for this experiment. Here is a photo of what was measured as well as a photo of the system at work.
The photo to the right was edited to show the strings "motion" and a circle was put to show where the end of the string is traveling.
In the work from the picture above we solved for omega (w) using the diagram on top, a free body diagram and omega related equations. After having our equation from above and the data collected stated in the beginning , we were ready to place our data in excel.
The Data was input including the 2 different ways of solving for omega(t),using the (2*pi)/time and the omega(h) using the equation solved for in the previous photo. Once we had our two omegas, we plotted them vs each other homing to get something close to a slope of 1/1 which we did, thus proving that either way we can solve for omega. I was actually surprised by how great the plot came to be considering the various ways there could have been error in measurement.
The lab was a success and the equation derived worked like a charm and shows that we can solve for omega using theta and the height of different positions which is definitely very useful. The error was very minimal but most likely due to measurement error, or time keeping error.
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