Modeling the fall of an object falling with air resistance
introduction:
The free falling object on the earth usually cannot falling without any resistance. We knew that falling object have gravity accelerate but the experience we have tell us the result we get usually have an error on it. We have an error because the air resistance affect the object accelerate. In the lab we use different numbers of coffee filter to find the resistance when it is falling and find the relationship between the speed and the air resistance.
Thesis:
We said that air resistance equation is
Fresistance = kv^n
We do 1 to 5 coffee filter so that we have 5 date of it.
We expect that the coffee filter will speed up at first and turn into the constant speed then finally fall on the floor. Each date have different mass and slope n= constant speed
Collect the dates and use logger pro to make a fit for equation F=kv^n
find k and n
Experiment and date:
We want to the design technology building to take video. Try 1,2,3,4,and 5 coffee filter to get videos date.
Then we try to fit in the function F=kv^n
We got k=0.0054 n=2.147
Modeling the fall of an object including air resistance
We can see that point 2and 4 are close to the F=0.0054v^2.147
try those point in excel and see if speed would be constant
We do the drop with two coffee filter with Excel
This chart tell us the speed become constant and the speed is 1.823m/s^2
but experiment got 1.798
means we have an error (1.798-1.823)/1.823=-1.371%
conclusions:
The relationship between air resistance and speed that we find is
Fresistance = 0.0054v^2.147
It tell that speed do affect the air resistance. We can said that air resistance affect object accelerate a lot that generally free falling lab might have some error. Because each coffee filter could have different mass, the experiment of this lab and the expect would have an error.
The free falling object on the earth usually cannot falling without any resistance. We knew that falling object have gravity accelerate but the experience we have tell us the result we get usually have an error on it. We have an error because the air resistance affect the object accelerate. In the lab we use different numbers of coffee filter to find the resistance when it is falling and find the relationship between the speed and the air resistance.
Thesis:
We said that air resistance equation is
Fresistance = kv^n
We do 1 to 5 coffee filter so that we have 5 date of it.
We expect that the coffee filter will speed up at first and turn into the constant speed then finally fall on the floor. Each date have different mass and slope n= constant speed
Collect the dates and use logger pro to make a fit for equation F=kv^n
find k and n
Experiment and date:
We want to the design technology building to take video. Try 1,2,3,4,and 5 coffee filter to get videos date.
By using logger pro, we put a dot on each 0.2s
those are the date we have
 |
| The first drop with one coffee filter. When the air resistance = the gravity, have constant speed 1.217 m/s^2 and F=0.01N |
 |
| The second drop with two coffee filters. When the air resistance = the gravity, have constant speed 1.798 m/s^2 and F=0.02N |
 |
| The third drop with three coffee filters. When the air resistance = the gravity, have constant speed 2.249 m/s^2 and F=0.03N |
 |
| The fourth drop with four coffee filters. When the air resistance = the gravity, have constant speed 2.549 m/s^2 and F=0.04N |
 |
| The fifth drop with five coffee filters. When the air resistance = the gravity, have constant speed 2.771 m/s^2 and F=0.05N |
this is the five dates we found
We got k=0.0054 n=2.147
Modeling the fall of an object including air resistance
We can see that point 2and 4 are close to the F=0.0054v^2.147
try those point in excel and see if speed would be constant
We do the drop with two coffee filter with Excel
This chart tell us the speed become constant and the speed is 1.823m/s^2
but experiment got 1.798
means we have an error (1.798-1.823)/1.823=-1.371%
conclusions:
The relationship between air resistance and speed that we find is
Fresistance = 0.0054v^2.147
It tell that speed do affect the air resistance. We can said that air resistance affect object accelerate a lot that generally free falling lab might have some error. Because each coffee filter could have different mass, the experiment of this lab and the expect would have an error.
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