Dimensional analysis, I'm kinda lost

Click For Summary
SUMMARY

The discussion focuses on the dimensional analysis of the wind force formula F = 0.00256 Cd V² A, where F represents wind force in lbf, Cd is the drag coefficient, V is wind velocity in mi/h, and A is the projected area in ft². The key question raised is about determining the units of the constant 0.00256 to ensure dimensional homogeneity in the equation. Participants emphasize the importance of understanding the drag coefficient and identifying missing variables necessary for non-dimensionalizing the term.

PREREQUISITES
  • Understanding of dimensional analysis in physics
  • Familiarity with the concept of drag coefficient (C_d)
  • Knowledge of units of force, area, and velocity
  • Basic algebra skills for manipulating equations
NEXT STEPS
  • Research dimensional homogeneity in physics equations
  • Learn about the significance of the drag coefficient (C_d) in fluid dynamics
  • Explore methods for non-dimensionalizing physical equations
  • Study the relationship between force, area, and velocity in aerodynamics
USEFUL FOR

Students in physics or engineering courses, educators teaching dimensional analysis, and anyone interested in understanding the principles of fluid dynamics and aerodynamics.

coasterguy
Messages
2
Reaction score
0

Homework Statement



* The force of wind acting on a body can be computed by the formula:

F = 0.00256 Cd V2 A

where:

F = wind force (lbf)

Cd= drag coefficient (no units)

V = wind velocity (mi/h)

A = projected area(ft2)

* To keep the equation dimensionally homogeneous, what are the units of 0.00256?

The Attempt at a Solution



th_0925091636-01.jpg
I'm really new to this, and the professor didn't explain it well. IDK if I did that right so far, but I'm not sure what to do next. What does it mean by the units of .00256? Thanks
 
Physics news on Phys.org
Since you know this already, I will answer your question with another question.

What is the full definition of [tex]C_d[/tex] ?

What 2 important variables are missing to non-dimensionalize that term there?

As your topic implies, check your units.
 

Similar threads

  • · Replies 2 ·
Replies
2
Views
2K
Replies
9
Views
3K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 28 ·
Replies
28
Views
3K
Replies
2
Views
2K
  • · Replies 10 ·
Replies
10
Views
4K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 3 ·
Replies
3
Views
6K
Replies
4
Views
8K
  • · Replies 5 ·
Replies
5
Views
8K