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

Click For Summary
SUMMARY

The discussion focuses on calculating air resistance (R) without knowing the reference area (A) while experimenting with coffee filters. Key equations include the relationship between weight (W), drag (D), and terminal velocity (v), where W = D at terminal velocity. The user is advised to plot velocity (v) or velocity squared (v²) against weight (W) to derive the relationship, ensuring the filters maintain consistent shape during the drop. This approach allows for the estimation of air resistance through experimental data.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with the drag equation: D = Cd * r * V² * A/2
  • Basic knowledge of terminal velocity concepts
  • Ability to perform experimental measurements and data plotting
NEXT STEPS
  • Research the drag coefficient (Cd) for various shapes
  • Learn about terminal velocity calculations in fluid dynamics
  • Explore methods for measuring weight (W) accurately
  • Investigate graphing techniques for analyzing experimental data
USEFUL FOR

Students in physics, hobbyists conducting experiments on air resistance, and educators seeking practical applications of fluid dynamics principles.

jff0404
Messages
9
Reaction score
0
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!
 
Physics news on Phys.org
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.
 

Similar threads

  • · Replies 15 ·
Replies
15
Views
2K
  • · Replies 8 ·
Replies
8
Views
3K
Replies
4
Views
3K
  • · Replies 16 ·
Replies
16
Views
1K
  • · Replies 39 ·
2
Replies
39
Views
4K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 16 ·
Replies
16
Views
3K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 8 ·
Replies
8
Views
4K
  • · Replies 11 ·
Replies
11
Views
3K