The Physics of Flight
Related to Airplanes
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Forces on a Plane:

four forces on an airplane
Photo by NASA:
http://www.grc.nasa.gov/WWW/k-12/airplane/forces.html

Equation for liftEqu. of Lift
Equation for dragEqu. of Drag
Photos found at:
http://web.mit.edu/16.00/www/aec/flight.html


           When an airplane travels through the air, four main forces are constantly acting on it. These forces are: Lift, Drag, Thrust, and Weight.

Lift

For an airplane to fly, the lift generated by the air moving over the wings must overcome the weight of the plane due to gravity. How much lift that is generated depends on the plane and the shape of the wings. The equation of lift is used by engineers to determine the lift needed for a plane when designing a wing. The higher the Coefficient of Lift (CL) is the better. In the equation S is the wing's area, the values in parentheses is the dynamic pressure with V being the velocity and rho being the density of the air.  (Equation bottom left) 


Drag:

Drag is produced when the air moving against the aircraft resists it, pushing the plane back. This is usually considered as air resistance. The magnitude of drag varies depending on the shape of the plane and the atmosphere that the plane is passing through. Along side determining the lift, engineers use the equation of drag to determine the drag made for the design of the aircraft. The lower Coefficient of Drag (CD) results in the least drag created. In the equation, A is the cross-sectional area, the values in the parentheses is the dynamic pressure with V being the velocity and rho being the density of the air. (Equation bottom left) 


Thrust:

To overcome drag, a force of thrust must be given by the engines on an airplane to push it forward. Thrust can be considered using Newtons second law of  Force = (mass)*(acceleration) where the mass and acceleration are considering the air that is expelled by the engine.

Weight:

The weight is the downward force of an object, which is calculated by multiplying the mass of the object by the force of gravity. This can be difficult to consider during flight as when the plane tilts, the center of gravity changes. This makes it difficult when calculating the other forces as they are affected by the change. 
Weight = (mass) * (gravity)

 

           In order for the plane to fly, the net force of the four forces must be in the forward and up direction of the plane. This means that the force of lift must overcome the weight of the plane. And that the thrust provided by the engines must overcome the force of drag.