How does a jumbo jet get off the ground?

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The folks at Newton's Apple wrote the following!

How can an airplane as heavy as three blue whales get off the ground? How does the wing design of a 747 allow a plane longer than the Statue of Liberty to fly?


INSIGHTS

People have always wanted to fly. Leonardo da Vinci, who often dreamed about flight, drew intricate designs for several different flying machines. Among the many scientists whose discoveries made human flight a reality are Sir Isaac Newton (1642-1727) and Daniel Bernoulli (1700-1782). Both are credited with developing the scientific principles that explain how an airplane flies. However, it was not until many years later, on December 17, 1903, that Orville and Wilbur Wright actually applied these principles to successful airplane flight. Their first flight lasted only 12 seconds, and they traveled only 120 feet. The entire trip could have taken place inside of a 747.


Whether a single-seat propeller plane or a giant 747, there are four fundamental forces at work in airplanes.
Thrust is the forward movement of the airplane, provided by the propellers or jet engines. Drag is the opposing force of the displaced air, the same force you feel walking into a strong wind. Gravity acts on the airplane, giving it weight. Lift counteracts the weight of the plane, keeping the airplane up in the air. The lift force is equal to the weight when an airplane is in level flight.


Bernoulli's principle helps to explain lift. Bernoulli demonstrated that the faster a fluid moves, the less pressure it exerts. An airplane wing is shaped so that air (which is a fluid) moves faster over the top of the wing than it moves under the bottom of the wing. As a result, there is greater pressure underneath the wing than there is on the top of the wing, resulting in a net force which "lifts" the wing.


The angle at which the wing meets the air (
the angle of attack) also contributes to lift. You can easily demonstrate this when you hold your hand out the window of a moving vehicle and change the angle at which your palm meets the oncoming air. If the surface of an airplane wing meets the air at an angle, the wing exerts a force on the air and the air exerts an equal force on the wing--an effect that Newton described in his third law of motion. There are many other factors that influence lift: the shape and area of the wing, the velocity of the airplane, and even the density of the air.
Pilots and aeronautical engineers use the forces involved in lift to help them design and fly planes of all sizes and shapes. With the right lift, even an 870,000-pound jumbo jet can head for the sky.

CONNECTIONS

1. When you turn on the water to take a shower, why does the shower curtain move?
2. What different shapes of airplane wings can you think of? Why are they different?
3. How are the wings of birds like the wings of airplanes?

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* Aerodynamics the study of the motion of air and the effect of moving air on obstructions

* Bernoulli's principle The pressure in a fluid decreases as the speed of the fluid increases.

* Fluid a substance tending to flow and conform to the outline of its container

* lift the force that allows for upward motion on a flying object

* pressure the force exerted over a surface divided by its area

* wind tunnel an enclosure in which a steady current of air can be maintained for the purpose of testing lift and friction

* velocity the rate of change of displacement of a moving body with time



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PLAYING BERNOULLI BALL

With a stream of air and Bernoulli's principle, you will hold a ball in midair before hitting it into a target. Challenge your friends to a game of Bernoulli Ball. The game looks easy, but you will quickly see that there are subtle forces at work which require shrewd analysis and manipulation for accurate shooting.

Materials

* hair dryer with a cylindrical nozzle
* Styrofoam ball, 4-5 cm in diameter (1 1/2" - 2")
* a couple of cardboard boxes of different sizes


1. The player sits in a chair or on a stool with the hair dryer "gun" about 1 meter (1.1 yds) away from the target box.
2. Place the smaller cardboard box inside a larger cardboard box to serve as the target. (Or cut and shape cardboard into curved sections and place in box, as illustrated below.) If you position the back of the box against a wall, you won't have to chase as many stray balls.
3. Scores for each part of the target are:

* inner box 3

* outer box 1

* outside of boxes 0

4. Use the hair dryer on the cold-air setting. If there are low- and high-speed settings, use the low speed.
5. Each player is allowed five practice shots and five shots for official score.
6. To start the game, turn the dryer on and point the nozzle straight up. Place the Styrofoam ball in the airstream about 30 cm (1') above the nozzle.
7. The player shoots the ball by smoothly tilting the dryer so that the ball falls out of the airstream and continues on a curved path toward the target.
8. If the ball hits the dryer, the player gets to try again.

Questions

  1. Why does the ball stay in the airstream when the dryer is pointed straight up?
    2. Does the ball fall out of the airstream as soon as you start to tilt the gun?
    3. Why does the ball leave the airstream when you continue to tilt the hair dryer?
    4. After playing the game, do you have any suggestions for someone who has never played it?

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    With the fingers of both hands, hold a single sheet of paper just below your lower lip. Allow the paper to bend and hang downward. Blow across the top surface of the paper. What happens? Explain, using Bernoulli's principle.

    Find a Styrofoam ball about the size of a baseball. Play catch with a friend. Throw the ball in such a way that it spins. Try both a "top to bottom" spin and a "sideways" spin. What happens to the ball? Explain, using Bernoulli's principle.

    Make an atomizer out of a soda straw. With a knife, slit the straw one-third of its length from one end. Bend the straw at the slit and place the short section into a glass of water. Make sure that the slit is no more than one centimeter above the surface of the water. Blow hard through the other end of the long section of the straw. What happens? Explain using Bernoulli's principle.

    Tape a table-tennis ball to a string and allow the ball to swing into a stream of water running smoothly from a spigot. Lightly tug on the string by pulling it to the side. What happens to the ball? Explain, using Bernoulli's principle.


    We encourage duplication for educational non-commercial use!
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    Newton's Apple is a production of KTCA Twin Cities Public Television.
    Made possible by a grant from 3M.
    Educational materials developed with the National Science Teachers Association.

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  2. Resources

    * Anderson, J.D., Jr. (1985) Introduction to flight. New York: McGraw-Hill.

    Additional sources of information

    * Smithsonian Museum's Air and Space magazine PO Box 53261 Boulder, CO 80301 (800) 766-2149
    * Aircraft Owners and Pilots Association 421 Aviation Way Frederick, MD 21701 (301) 695-2000 (free packet: A teacher's guide to aviation)
    * Federal Aviation Administration 800 Independence Ave. SW Washington, DC 20591 (202) 366-4000
    * NASA Education Division Mail Code F Washington, DC 20546 (402) 358-1110
    * Society of Automotive Engineers Education Program Coordinator 400 Commonwealth Drive Warrendale, PA 15096-0001 (412) 276-4841

    Community resources Local airport authority

  3. * Pilot or flight instructor

 

747 Facts

Length: 232 feet
* Height: 63 feet
* Wingspan: 211 feet
* Wing area: 5,650 square feet
* Empty weight: 538,000 pounds
* Maximum takeoff weight: 870,000
* Maximum landing weight: 630,000 (which explains why planes often need to dump fuel to make emergency landings)
* Engines: 4
turbofan engines with 57,000 pounds of thrust each
* People capacity: Up to 660 people and their luggage
* Fuel capacity: Up to 57,000 gallons
* Maximum range: 7,200 nautical miles
* Cruising speed: 490 knots
* Takeoff distance: 10,500 feet

 

I happen to fly a lot on business. For me, personally, airplanes are one of the most amazing things that I see on a daily basis. When I get on a 747, I am boarding a gigantic vehicle capable of carrying 500 or 600 people. A 747 weighs up to 870,000 pounds at takeoff. Yet it rolls down the runway and, as though by magic, lifts itself into the air and can fly up to 7,000 nautical miles without stopping. It is absolutely amazing when you think about it!
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