Purpose: Today we used coffee filters to determine the relationship between air resistance force, as something is falling, and the objects speed as it free falls. We are using the equation Fresistance = kv^n which should support the relationship we are looking to find.
Procedure: Beginning the experiment, we dropped coffee filters from the second floor of the balcony in the information technology building at Mt.SAC. We used video capture in order to project the fall of the coffee filters by marking every position every 1/10 of a second. We did this five times and each time we increased the number of coffee filters until we did 5 coffee filters. The fall was then analyzed and recorded by logger-pro were we found our data that we were going to test out using excel by analyzing our answers.
Logger-pro is able to make a graph by marking the distances after each time frame that the filter fell. Which is how we came up with the position vs. time graph below. We also used a curve fit to find the slope which will help us to eventually find the acceleration since we now know the velocity.
We then used the force and velocity information to make a graph that would help us toy solve for our k and n values. We would have then got several values and compared them with our values of the function we created by solving for our own k and n values in terms of coffee filters. When using excel the values should be similar if not then you most likely had an air in your experiment with measuring the the position of the coffee filters as they fell to the ground.
Final Thoughts: All in all, the lab had some errors in calculations due to the lack of equipment , if the equipment was better our data could have been more accurate and since the filters were white they were very hard to see as they fell closer to the ground. We still were able to find a relationship between the force resistance of air and kv^n but even though our calculated value wasn't exact to the expected value they were very similar.
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