Understanding Cofficient of Drag

  • Context: Undergrad 
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Discussion Overview

The discussion revolves around understanding how to calculate drag using the coefficient of drag, specifically focusing on the formula provided and the appropriate units for each variable involved. The scope includes conceptual clarification and mathematical reasoning related to the application of the formula.

Discussion Character

  • Conceptual clarification, Mathematical reasoning

Main Points Raised

  • One participant presents a formula for calculating drag and questions the appropriate units to use in the calculation.
  • Another participant suggests performing dimensional analysis to resolve the unit confusion.
  • A third participant expresses confusion regarding the suggestion of dimensional analysis.
  • One participant provides a dimensional analysis result indicating that drag should have units of force, but questions the units of density used in the calculation.
  • A link to the source of the formula is shared for reference.
  • Another participant encourages the use of Google to find information on dimensional analysis, suggesting it can be found in chemistry books.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the appropriate units for density and how to apply dimensional analysis in this context. There is a mix of understanding and confusion regarding the calculation process.

Contextual Notes

There is uncertainty regarding the units of density used by the original poster, which may affect the overall calculation. The discussion does not resolve the discrepancies in unit definitions.

Dieseltwitch
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Ok so i have looked and looked for a simple way to under stand how to find drag using the coefficient of drag.

the formula i found is off of NASA website and it reads

Drag = Coefficient * [ (Density * Velocity ^2)* .5 ] * reference area

here is my question
what units do i use.
When i set it up with these numbers
CD = 0.31 (unitless i know)
Ref Area = 8 sq ft (ruff guess)
Velocity = 75 fps
density = 24 in Hg

I end up with 167,400. but i know no clue as to what unit that is? should i be putting every thing in with different units... what is the end units?
 
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I would do dimensional analysis.
 
At the risk of sounding like a moron... HUH?
 
Can you post a link to the site? Doing a quick dimensional analysis gives a consistent result:

[drag] = ML/T^2 (force, M = mass, L = length, T = time)

but you have odd units of density: pressure? It should be M/L^3
 
http://www.grc.nasa.gov/WWW/K-12/airplane/drageq.html"
 
Last edited by a moderator:
Please google dimensional analysis.


Hint: You can find this also in any chemistry book.
 

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