Bernoullis principle and lift on a wing of plane

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SUMMARY

The discussion focuses on calculating lift on a wing using Bernoulli's principle, specifically for a wing area of 89 square meters with air speeds of 260 m/s above and 160 m/s below. Participants confirm that the higher velocity of air over the wing results in lower pressure, generating lift. They emphasize the application of Bernoulli's equation for incompressible flow and suggest assuming sea level conditions for air density due to the absence of altitude information in the problem statement.

PREREQUISITES
  • Understanding of Bernoulli's principle in fluid dynamics
  • Familiarity with incompressible flow equations
  • Knowledge of air density at sea level
  • Basic algebra for applying Bernoulli's equation
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  • Research the effects of altitude on air density
  • Learn how to calculate lift using different wing shapes and airspeeds
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Aerospace engineers, physics students, and anyone interested in the principles of lift and fluid dynamics in aviation.

bfusco
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Homework Statement


What is the lift (in Newtons) due to Bernoulli's principle on a wing of area 89 if the air passes over the top and bottom surfaces at speeds of 260 and 160 , respectively?

The Attempt at a Solution


um...i understand that the higher velocity of the air above the wing creates a lower pressure than below the wing and this difference in pressure generates lift, however i don't really see how bernoullis principle applies
 
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Hi bfusco,

I think we could help a bit more if you told us what exactly you meant by 'Bernoulli's principle' here; there are a lot of different kind of similar things that can be labeled 'Bernoulli's principle', and I don't want to steer you wrong. Qualitatively, you already stated & explained how Bernoulli's principle applies here in your original post. In terms of the algebra, you could apply the first equation under 'incompressible flow' on the wikipedia page titled 'Bernoulli's Principle' (treating the difference in z above and below the wing as negligible), but I obviously can't promise that this is what your instructor wants you to do. I think you understand the physics here already; if there's something about the algebra that doesn't make sense, we'll need more details.

Hope this helps,
Bill Mills
 
Last edited by a moderator:
bfusco said:
I don't really see how bernoullis principle applies
For this problem, it doesn't matter, since you're being told to use Bernoulli's equation along with the speeds you're given to calculate pressures.

The problem statement doesn't include an alitude (which is needed to determine density), so my guess is that your supposed to assume this occurs at sea level and use the density of air at sea level.
 

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