19-Sep-2016: Lab 4 Modeling the fall of an object falling with air resistance -Part 2: Modeling the fall of an object including air resistance.

1. Title: Lab 4 Modeling the fall of an object falling with air resistance-Part 2: Modeling the fall of an     object including air resistance.
    Name: Qiwen Ye (Sherry)
    Lab partners names: Jae Yoo, Chandler
    Date: 19-Sep-2016

2. Purpose
The gold here is to apply the mathematical model we developed in part 1 to predict the terminal velocity of our various coffee filters

3. Introduction
This lab is the second part we did in last Monday, this time we used the data from last lab in order to get the terminal velocity. According to Part 1, we have already got the data about five times coffee filler. We used LogPro to analyze the data in order to get the graph about velocity and weight, and used Excel to model the fall of an object with air resistance.

4.Apparatus/Experiment procedure
In order to obtain the terminal velocity, we created four columns in: time, acceleration, the change of velocity, and velocity. First, we used the dates from part one in order to get five different velocity from one to five coffee filter. Assume 150 coffee is 134.2 gram, we can calculus the weight of coffee filter in order to get the graph about velocity and weight. After that, we got the formula similar to Fresistance=k*v^n, and got k and n. Finally, we used Excel to model the fall of an object with air resistance.

5. Data
Here is the data that we got from part 1, the velocity and weight for one to five coffee filters. (150 coffee = 0.1342kg).

6. Result

1)Here is the graph Velocity vs. Weight

This equation is similar to Fresistance=k*v^n. k: 0.000688  n: 1.366, then we got five different data about different coffee filter.

2)one coffee filter

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3) two coffee filter

 4) three coffee filter

 5) four coffee filter

7. Analysis

Through those Excel data tables, we can see that the velocity of the coffee filter is increasing when the time is increasing. It means that the fall of an object falling with gravity and the velocity always increasing. Also, the mass of object will effect its velocity. 

8. Conclusion

In this lab, we learned how to model the fall of an object falling with air resistance. We acquired the terminal velocity for each trial using Excel.