Pressure Difference Across Airplane Wings

Click For Summary
SUMMARY

The discussion focuses on calculating the weight of an airplane and the airspeed above its wings using principles of fluid dynamics. A pressure difference of 545 Pa exists between the upper and lower surfaces of the wings, with each wing surface area measuring 138 m². The weight of the plane is determined to be 150,420 N using the formula F = P × A. To find the airspeed above the wings, Bernoulli's equation is suggested as the appropriate method for further calculations.

PREREQUISITES
  • Understanding of Bernoulli's equation
  • Knowledge of fluid dynamics principles
  • Familiarity with pressure and force calculations
  • Basic grasp of aerodynamics and wing design
NEXT STEPS
  • Study Bernoulli's equation in detail
  • Explore the concept of pressure differences in fluid dynamics
  • Learn about the relationship between lift and wing design
  • Investigate how airspeed affects lift generation
USEFUL FOR

Aerospace engineers, physics students, and anyone interested in the principles of flight and aerodynamics will benefit from this discussion.

Ike
Messages
8
Reaction score
1
I've been at this one for hours and can't get a handle on it... Can anyone give me a little help here?


An airplane flies on a level flight path. There is a pressure difference of 545 Pa between the lower and upper surfaces of the wings. The area of each wing surface is about 138 m^2. The air moves below the wings at a speed of 81.3 m/s. Estimate (a) the weight of the plane and (b) the airspeed above the wings.

The answer to (a) can be found by the quantity: F = P A. (Force = Pressure times Area) The sum of forces can be found to be:

(Weight of Plane) - (P + 545 Pa)(276 m^2) - (P)(276 m^2) = 0

(Weight of Plane) = (545 Pa)(276 m^2) = 150420 N​


I've gotten this far... now how do I do part (b)?
 
Physics news on Phys.org
Ike said:
...I've gotten this far... now how do I do part (b)?
I imagine you would use Bernoulli's equation.
 

Similar threads

  • · Replies 23 ·
Replies
23
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 12 ·
Replies
12
Views
4K
Replies
6
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K
Replies
3
Views
1K
  • · Replies 15 ·
Replies
15
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 1 ·
Replies
1
Views
13K
  • · Replies 11 ·
Replies
11
Views
2K