Purpose: This lab is designed to have students figure out the relationship between air resistance force and speed. The way that air resistance works on a object depends on the objects shape, speed and the material. We use the formula F_resistance = kv^n. (k represents the objects shape and area)
We accomplish this by dropping coffee filters and dropping them from a certain height. By recording the drop with a video camera and putting the videos into Logger Pro we were able to dot the drop of the filter and get its velocity.
The dots about to be seen represent the distance the filter went for each frame of the recording.
We were able to determine the velocity of the coffee filter drop by finding the slope of a distance vs time graph.
So the velocity for one coffee filter falling is 0.7959m/s. We repeat this process with two, three, four and five coffee filters in order to use them to get our k and n value through graphing the velocities along with the forces.
So with our graph we determined that our k=0.01249 and n=2.022.
Once that was determined we were able to model the fall for each in Excel.
By changing the mass we would be able to determine the ending velocity. As long as you stretched the columns until acceleration became zero.
coffee filter #1
coffee filter #2
coffee filter #3
coffee filter #4
coffee filter #5
We ended with all our velocities with an acceleration of zero.
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