Calculating lift using bernoulli's equation

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SUMMARY

The discussion focuses on calculating lift using Bernoulli's equation, specifically the formula P1 + 1/2rv1^2 = P2 + 1/2rv2^2 and the force equation F = P/A. Participants confirm that the approach of finding the pressure difference (P2 - P1) to determine lift is conceptually correct. It is emphasized that while this method is valid, the "Bernoulli force" accounts for only about 6% of the total lift force on an airplane, indicating that other factors contribute significantly to lift generation.

PREREQUISITES
  • Understanding of Bernoulli's principle
  • Familiarity with fluid dynamics concepts
  • Knowledge of pressure and force equations
  • Basic grasp of lift generation in aerodynamics
NEXT STEPS
  • Study the derivation of Bernoulli's equation in fluid mechanics
  • Explore the role of airfoil shape in lift generation
  • Learn about the contributions of Newtonian mechanics to lift
  • Investigate the factors affecting lift beyond Bernoulli's principle
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Aerospace engineers, physics students, and anyone interested in understanding the principles of lift generation in aviation.

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Homework Statement



What is the lift (in Newtons) due to Bernoulli's principle on a wing of area...m^2 if the air passes over the top and bottom surfaces at speeds of ...m/sand ...m/s, respectively? I've given the values but I just want to know if I'm doing the problem right conceptually.

Homework Equations



P1 + 1/2rv1^2= P2 + 1/2 r v2^2
F=P/A

The Attempt at a Solution



Hello, can someone help me with the approach to this problem?
I tried solving for P2-P1 in Bernoulli's and then using that as P in F=P/A and solving for F. I realize that the pressure on the bottom has to be greater than the pressure on the top to create lift so that's why I did P2-P1.
 
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Yes, you are going about solving the problem correctly. It doesn't really matter whether you subtract P2 from P1 or vise versa. You just need the difference in pressure to find the "bernoulli force" and then you just say "it's upward."

By the way, just do the problem as they ask you, and then let yourself know that the "Bernoulli force" is way over-hyped, and does not account for any more than 6% of total lift force on an airplane.
 

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