How can I calculate air resistance without knowing the reference area?

AI Thread Summary
To calculate air resistance without knowing the reference area, one can analyze the relationship between air resistance (R) and velocity (v) or velocity squared (v^2). The equations of motion indicate that at terminal velocity, the net force is zero, leading to the relationship W = D, where W is weight and D is drag force. By measuring weight and plotting velocity or velocity squared against drag, insights into air resistance can be gained. It's important to maintain the shape of the coffee filters during the experiment to ensure consistent results. This approach allows for the estimation of air resistance despite the absence of reference area data.
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1. After dropping coffee filters, I have to derive or describe the relationships between air Resistance(R) and v or v^2, whichever is right, and draw a graph. I can find derivations on internet as long as I site.
I have time, v, height and acceleration, but no reference area. All the equations I've seen need the ra, is there any way I can find R without it?

2. v=m/s
a= v/s = m/s^2
Net F = R-w
w=mg
D = Cd * r * V^2 * A/2

3. When the object reaches terminal v, a=0. So I put 0 for a= (W - D)/m that I also got from the internet, but I got something useless with m/s units(supposed to be in N because R is a force). I don't know what I'm supposed to do!
 
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Rearrange..

0 = (W - D)/m

to give..

W = D

You can measure W.

Plot V or V2 against W (=D) and see what you get.
 
PS Try to ensure the filters stay the same shape as they fall, eg don't add too much weight.
 
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