14-sep-2014: Modeling the fall of an object falling with air resistance

1.Determing the relationship between air resistance force and speed.
We have an expectation taht air resistance force aon a particular object depends on the object's speed: F=kv^n.
Dorp the coffee filters from tthis balcony.
If you drop coffee filters at H. Reachs terminal speed and you measure vertical velocity, your actual know the velocity of resistance force at the speed.

falling down with one filter

falling down with two filters

falling down with three filters

falling down with four filters

falling down with five filters

Data analysis

Enter the solpe of each time 

graphing with power fit

k=0.00435

n=2.3466

2.Modeling the fall of an object including air resistance.

We can use Excel to model the alll of an object with air resistance.

we start with the folling conditions.

Cell A2 enter 0, A3 enter =A2+0.1, fill down till the value shows 5.

Cell B2 enter 9.8, B3 enter 9.8-(0.0043566*(D3^2.347)/0.0092)), then fill down.

Cell C3 enter =B2*A3.

Cell D3 enter =D2+C3.

Since the measurement is not accurate, the K and N value is not the exactly, the table filling down with errors occured.