What is the net vertical force on an airplane with given parameters?

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SUMMARY

The net vertical force on an airplane can be calculated using Bernoulli's equation to determine the pressure difference between the top and bottom surfaces of the wings. Given the parameters: top surface velocity of 75 m/s, bottom surface velocity of 58.5 m/s, mass of 1250 kg, wing area of 14.9 m², and air density of 1.2 kg/m³, the lift force is derived from the pressure difference multiplied by the wing area. The net vertical force is then calculated by subtracting the weight of the airplane, which is the product of mass and gravitational acceleration (9.8 m/s²), from the lift force.

PREREQUISITES
  • Understanding of Bernoulli's equation
  • Knowledge of basic physics concepts such as lift and weight
  • Familiarity with fluid dynamics principles
  • Ability to perform calculations involving pressure, force, and area
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  • Study the application of Bernoulli's equation in fluid dynamics
  • Learn how to calculate lift force on an airplane
  • Explore the effects of air density on lift and drag
  • Investigate the relationship between wing shape and aerodynamic efficiency
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Aerospace engineers, physics students, and anyone interested in understanding the principles of lift and forces acting on airplanes.

tonyp910
hey guys i just found this site and its very helpful. so if u guys can help. it will be greatly appreciated
i have this problem to solve but i stuck on solveing for the height of the airplane to find the force.
so if anyone can assist me it will be great.
thanks

Lift on an Airplane. Air streams horizontally past a small airplane's wings such that the speed is 75. over the top surface and 58.5 past the bottom surface.

If the plane has mass 1250 and a wing area of 14.9 , what is the net vertical force (including the effects of gravity) on the airplane? The density of the air is 1.2 . Take the free fall acceleration to be 9.8 .

find force in N.
 
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What I suspect is that they want you to apply Bernoulli's equation to the airflow across top and bottom to find the pressure difference. That pressure difference will produce a net force (of the air on the plane, ignoring drag) acting upward. The weight of the plane acts downward.

(Whether you can really justify using Bernoulli in this case is another story. Just do the exercise!)
 
Lift on an Airplane

this how i did it
solve for delta p=1/2(rho)(velocityoftop)^2 - 1/2(rho)(velocityofbottom)^2
then
Lift = delta p*cross sectional area
force of lift = lift - (m*g) <-mass of plane

email your number and your address and your brain

too easy [zz)]
 

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