09/12/2016 : Modeling the fall of an object falling with air resistance

Lab #4: Modeling the fall of an object falling with air resistance,
Name:   Charles Xu,
Partner: Anthony, Michell
Date:     09/12/2016

Statement:
It is a experiment to determine the relationship between air resistance force and speed. 

Theory:
We use camera from the laptop to capture coffee filters falling from the balcony. Then using logger pro to record terminal velocities for each one by fitting the linear portion for he position vs. time graph. Then use excel to analysis datas and calculate.

Summary:
We capture videos for 1, 2, 3, 4, 5, and 6 coffee filters falling from the balcony. We use logger pro to set the meter stick on the black sheet on the back as 1m. Then get the position of each frame. We use logger pro to find the k and n value of the formula F=kv^n. Then we input the data we collect into excel, such as change in time, mass, k, and n. Each frame is 0.02 s, We calculate change in time (by multiplying acceleration by time. --acceleration will change), velocity(by adding change in velocity and initial velocity), acceleration[F=ma, F=kv^n --> a= g- (kv^n/m)], change in distance(velocity multiply by time), distance(initial distance + change in distance). Then we use fill down to complete the sheet. 

Excel for calculation

Conclusion:

This is another experiment involves with calculating using excel. As before, it is a very useful tool for repeatedly calculation. This method will provide less error once you have the correct setup. We using logger pro to measure the displacement of free falling on the video which make the data more precise.