The objective of this lab was to determine the radius of circular motion based on centripital acceleration and rotational speed, and to determine the angle at a certain angular velocity between the vertical and a string with a weight attached to one end and a wooden rod to the other. The wooden rod being connected to an electric motor which spins it at a constant angular velocity.
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For the first of these goals, Prof. Wolf, who is the smartest, kindest most pointgivingest professor on the face of the earth. And also secretly my best friend. Set up (in his wisdom) a spin table (shown below) with an accelerometer on it, then asked the students to time the 2 periods of revolution, after averaging the results of each trial he plotted them on the following graph:
giving us a value of r=0.1493 m, which is 18% less than the actual value of .18 m.
For the next part of the lab, an aparatas was set up as shown below and described above:
pictured: the greatest most pink shirted man who ever touched my life
and the apparatus
Me and my partner derived a formula for predicting the speed w for a certain height(the calculation and formula are found below). We then, along with the class, recorded the time it took for 5 periods to pass and the height at which it was spinning. We then plugged in the values for height into our equation to obtain a theoretical answer for each w and compared it to our observation, the chart/graphs are as follows (along with the calculations as previously mentioned)
We plotted w theoretical against w observed and came up with this graph
Ideally, the slope of this graph should be 1, since they should be exactly equal to each other with a perfect model, this discrepency is most likely due to air resistance, flexion in the the wooden rod of the apparatus, and meausering error.
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