Monday, December 2, 2013

FORCES IN ACTION - PAPER AIRPLANE PROJECT

 4 MAIN FORCES ACTING ON A PAPER or REAL AIRPLANE


There are 4 main forces that act on a paper airplane (or a real airplane for that matter) while it is flying.
These are the forces:



  • Lift
  • Gravity
  • Thrust
  • Drag

Lift is the force that keeps the airplane in the air. Without lift the plane would not fly. Lift can be a very complicated force to explain, but here are two basic models to give an intuitive understanding.

1.  Bernoulli's Principle (named after Swiss Physicist Daniel Bernoulli)
If you ever look closely at the wings of an airplane from the side, you will notice that they are not flat. The wing has a curved shape to it. This shape is called an airfoilAirfoils are specially designed to produce lift.
To understand how Bernoulli's principle causes lift
  • we must first understand that air usually presses equally on all sides of an object. Suppose that as the plane flies forward, the approaching air splits up when it hits the leading (front) edge of the wing and rejoins at the trailing (back) edge of the wing. The airfoil shape causes the air to go farther over the top of the wing than under the bottom, both in the same amount if time. This means the air on top of the wing must move faster. 
  •  When air speeds up, its pressure gets lower. Since the air pressure on top of the wing is lower than the air pressure on the bottom of the wing, the wing produces lift! This phenomenon is called Bernoulli's principle.


2. Newtonian Explanation
The famous scientist Sir Isaac Newton stated in his famous third law that ,"For every action, there is an equal and opposite reaction." 
  • Newtonian lift largely depends on the tilt of the wing or "angle of attack".
  • If the leading edge of the wing is pointing upward, the bottom surface is deflecting oncoming air downward. 
  • When this air bounces off the bottom surface of the wing (action), it pushes the wing upward (reaction)...or produces lift.




Gravity is a force that we are all familiar with. It's what causes any object you throw into the air to come back to the ground. Gravity is also what keeps us on the ground. Without gravity, we would all float away into space! With airplanes, gravity works against lift by pulling the airplane toward the ground.


Thrust is the force that causes the plane to move forward through the air
  • In a real airplane, this is produced by the turning propellers or jet engine. 
  • With a paper airplane, the thrust is produced when you throw the plane into the air. Without thrust, planes could not produce lift.

Drag is the force that tries to slow the airplane down.  
  • Drag is produced when air flowing over the plane causes friction. When the plane is flying, it must push oncoming air out of the way. As this air is pushed around the plane, it bumps into other air molecules. Air close to the surface of the airplane also wants to try to stick to it. All of this causes friction. Have you ever ridden your bike on a windy day? The wind hitting you in the face that makes it hard to keep moving is drag.
Lift and Thrust help to keep a plane flying

Gravity and Drag work against it

We can't do anything to change gravity, but we can try to minimize drag and increase lift and thrust. This will make a paper airplane fly well. 


REVIEW
 [as you review these notes make sure you understand the vocabulary terms used.]
 

THRUST:

  • Thrust is the force which moves an aircraft through the air. 
    Thrust is used to overcome the drag of an airplane, and to overcome the weight of a rocket.
    Thrust is generated by the engines of the aircraft through some kind of propulsion system.
    Thrust is a mechanical force, so the propulsion system must be in physical contact with a working fluid to produce thrust. Since thrust is a force, it is a vector quantity having both a magnitude and a direction.

    Remember:  
    A vector quantity is a quantity that is fully described by both magnitude and direction

    Mechanical force is an energy that requires a medium for it to travel. When this force is applied on an object, it can cause it to bend, scratch it, or break the object. The force that opposes mechanical energy is called friction energy.
DRAG: 



Drag is the aerodynamic force that opposes an aircraft's motion through the air. 
Drag is generated by every part of the airplane (even the engines!). How is drag generated?

Drag is a mechanical force
It is generated by the interaction and contact of a solid body with a fluid (liquid or gas). It is not generated by a force field, in the sense of a gravitational field or an electromagnetic field, where one object can affect another object without being in physical contact. 

For drag to be generated, the solid body must be in contact with the fluid. If there is no fluid, there is no drag. 
Drag is generated by the difference in velocity between the solid object and the fluid. There must be motion between the object and the fluid. If there is no motion, there is no drag. It makes no difference whether the object moves through a static fluid or whether the fluid moves past a static solid object.
Drag is a force and is therefore a vector quantity having both a magnitude and a direction. Drag acts in a direction that is opposite to the motion of the aircraft. 


LIFT:


Lift is the force that directly opposes the weight of an airplane and holds the airplane in the air. 

Lift is generated by every part of the airplane, but most of the lift on a normal airliner is generated by the wings. 

Lift is a mechanical aerodynamic force produced by the motion of the airplane through the air. 

Because lift is a force, it is a vector quantity, having both a magnitude and a direction associated with it. 
Lift acts through the center of pressure of the object and is directed perpendicular to the flow direction. There are several factors which affect the magnitude of lift.

NO FLUID, NO LIFT
Lift is a mechanical force. It is generated by the interaction and contact of a solid body with a fluid (liquid or gas). It is not generated by a force field, in the sense of a gravitational field, or an electromagnetic field, where one object can affect another object without being in physical contact. For lift to be generated, the solid body must be in contact with the fluid: no fluid, no lift. The Space Shuttle does not stay in space because of lift from its wings but because of orbital mechanics related to its speed. Space is nearly a vacuum. Without air, there is no lift generated by the wings.


WEIGHT:




Weight is the force generated by the gravitational attraction of the earth on the airplane. 
We are more familiar with weight than with the other forces acting on an airplane, because each of us have our own weight which we can measure every morning on the bathroom scale. 
We know when one thing is heavy and when another thing is light. But weight, the gravitational force, is fundamentally different from the aerodynamic forces, lift and drag. 
Aerodynamic forces are mechanical forces and the airplane has to be in physical contact with the the air which generates the force. 
The gravitational force is a field force; the source of the force does not have to be in physical contact with the object to generate a pull on the object.

Weight is a force, and a force is a vector quantity having both a magnitude and a direction associated with it. 
  • Example:  an airplane, weight is always directed towards the center of the earth. The magnitude of this force depends on the mass of all of the parts of the airplane itself, plus the amount of fuel, plus any payload on board (people, baggage, freight, ...). 

Flying involves two major problems:
  • overcoming the weight of an object by some opposing force
  • controlling the object in flight. 
Both of these problems are related to the object's weight and the location of the center of gravity. The dream remains that, if we could really understand gravity, we could create anti-gravity devices which would revolutionize travel through the sky. Unfortunately, anti-gravity devices only exist in science fiction. Machines like airplanes, or magnetic levitation devices, create forces opposed to the gravitational force, but they do not block out or eliminate the gravitational force.


Beginner Planes:   [click on link]

  • You will make the following three (3) paper planes.  Watch the short video clip on each type of plane - [click on highlighted link]

    • watch carefully how to fold each plane; then use the template given to you in class to carefully & precisely fold your planes.

      • I will not provide instruction on folding your planes.  This is part of your experiment to carefully read, watch & follow instructions

        *** You must work independently.  You will be scored on this skill.

      • Do not work as a team on this project.  

  • Read all information in this post & experiment paperwork for detail.  

    • Highlight important points for bringing forward in class discussion.  

    You may build one of the INTERMEDIATE PLANES for extra points. 

    SAFETY:

    NEVER throw a paper airplane at another person, animal, or object that could be damaged if you hit it. Paper planes can have sharp edges and points that can injure someone if you are not careful. Keep in mind that paper planes can curve or change direction after they are launched, so make sure your flying area is clear. When flying outdoors, never fly your plane near moving cars or run into the street after your plane.

     Folding Technique - Folding technique is very important for successful flights. Make each of the folds carefully and accurately according to the instructions. Creases should be made by applying pressure to the fold with the edge of your thumbnail. This is best achieved by holding your thumbnail on the fold, applying pressure, and pulling your thumb along the fold line toward you. This will produce clean, crisp folds that will allow for accurate paper planes. If you make a mistake on a fold that you cannot correct, don’t be discouraged! Just print another template.

    Line Types - There are two main types of lines referenced by the instructions: fold lines and cut lines. Fold lines are dashed and cut lines are dotted.


    Model Adjustments - No matter what anyone tells you, EVERY paper airplane needs fine-tuning to achieve its best performance. There are several things you should keep in mind while making adjustments to your planes.

    Dihedral - Dihedral is a slight upward tilt of the wing tips with respect to the fuselage or body of the airplane. This produces a slight V-shape to the wings when viewed from the front of the plane. Dihedral provides aerodynamic stability to your models by making them want to self-center during flight. Paper airplanes have no intelligent flight controls after they leave your hand, so the plane needs to be naturally stable or else it will crash. All designs on this site perform better when some dihedral is added to the wings.


    Elevator - Elevator is the aeronautical term for the hinged flap at the tail section of a plane that causes it to either climb (gain altitude) or dive (lose altitude). In paper airplanes these flaps are generally located on the trailing edge of the wings themselves, since there is rarely a separate tail. They are formed by making parallel cuts about 1 inch apart. This produces a small flap that can be folded slightly up or down. Tilting the elevator flaps up will cause the plane to climb. Tilting them down will make the plane want to dive. If you find that your models are heading nose-down toward the ground shortly after launch, you may need to add some up elevator. Likewise, if they are looping-up too quickly or stalling, you may need to add some down elevator. Adding slightly more elevator to one wing than the other will cause the plane to either turn to the right or left.

     
  • All planes folded and in class ready for flying DUE:  12/09





Saturday, November 9, 2013

NEWTON'S LAWS
 Click on the link & Answer the following questions in your notes

Elephant and Feather - Air Resistance


anim'n of elephant and feather falling w/air resistanceSuppose that an elephant and a feather are dropped off a very tall building from the same height at the same time. 

We will assume the realistic situation that both feather and elephant encounter air resistance

Which object - the elephant or the feather - will hit the ground first? 

Further, the acceleration of each object is represented by a vector arrow.
Most people are not surprised by the fact that the elephant strikes the ground before the feather. But why does the elephant fall faster? This question is the source of much confusion (as well as a variety of misconceptions). 

Test your understanding by making an effort to identify the following statements as being either true or false.  Review any vocab terms to help you with your thinking process; weight, force of gravity, acceleration of gravity, air resistance and terminal velocity.
(write questions in your notebook)
TRUE or FALSE:

  1. The elephant encounters a smaller force of air resistance than the feather and therefore falls faster.
  2. The elephant has a greater acceleration of gravity than the feather and therefore falls faster.
  3. Both elephant and feather have the same force of gravity, yet the acceleration of gravity is greatest for the elephant.
  4. Both elephant and feather have the same force of gravity, yet the feather experiences a greater air resistance.
  5. Each object experiences the same amount of air resistance, yet the elephant experiences the greatest force of gravity.
  6. Each object experiences the same amount of air resistance, yet the feather experiences the greatest force of gravity.
  7. The feather weighs more than the elephant, and therefore will not accelerate as rapidly as the elephant.
  8. Both elephant and feather weigh the same amount, yet the greater mass of the feather leads to a smaller acceleration.
  9. The elephant experiences less air resistance and than the feather and thus reaches a larger terminal velocity.
  10. The feather experiences more air resistance than the elephant and thus reaches a smaller terminal velocity.
  11. The elephant and the feather encounter the same amount of air resistance, yet the elephant has a greater terminal velocity.


  If you answered TRUE to any of the above questions, then perhaps you have some confusion about either the concepts of weight, force of gravity, acceleration of gravity, air resistance and terminal velocity. 

The elephant and the feather are each being pulled downward due to the force of gravity. When initially dropped, this force of gravity is an unbalanced force. Thus, both elephant and feather begin to accelerate (i.e., gain speed). 

As the elephant and the feather begin to gain speed, they encounter the upward force of air resistance. Air resistance is the result of an object plowing through a layer of air and colliding with air molecules. The more air molecules which an object collides with, the greater the air resistance force. Subsequently, the amount of air resistance is dependent upon the speed of the falling object and the surface area of the falling object. Based on surface area alone, it is safe to assume that (for the same speed) the elephant would encounter more air resistance than the feather.

But why then does the elephant, which encounters more air resistance than the feather, fall faster? After all doesn't air resistance act to slow an object down? Wouldn't the object with greater air resistance fall slower?
Answering these questions demands an understanding of Newton's first and second law and the concept of terminal velocity

According to Newton's laws, an object will accelerate if the forces acting upon it are unbalanced; and further, the amount of acceleration is directly proportional to the amount of net force (unbalanced force) acting upon it
  • Falling objects initially accelerate (gain speed) because there is no force big enough to balance the downward force of gravity. 
  • Yet as an object gains speed, it encounters an increasing amount of upward air resistance force
  • In fact, objects will continue to accelerate (gain speed) until the air resistance force increases to a large enough value to balance the downward force of gravity. 
  • Since the elephant has more mass, it weighs more and experiences a greater downward force of gravity. The elephant will have to accelerate (gain speed) for a longer period of time before there is sufficient upward air resistance to balance the large downward force of gravity.
Once the upward force of air resistance upon an object is large enough to balance the downward force of gravity, the object is said to have reached a terminal velocity

The terminal velocity is the final velocity of the object; the object will continue to fall to the ground with this terminal velocity. 
In the case of the elephant and the feather, the elephant has a much greater terminal velocity than the feather. As mentioned above, the elephant would have to accelerate for a longer period of time. The elephant requires a greater speed to accumulate sufficient upward air resistance force to balance the downward force of gravity. In fact, the elephant never does reach a terminal velocity; the animation above shows that there is still an acceleration on the elephant the moment before striking the ground. If we were to depict the relative magnitude of the two forces acting upon the elephant and the feather at various times in their fall, perhaps it would appear as shown below. (NOTE: The magnitude of the force vector is indicated by the relative size of the arrow.)

ELEPHANT & FEATHER WITHOUT AIR RESISTANCE



Anim'n of falling elephant and featherELEPHANT & FEATHER WITHOUT AIR RESISTANCE
Suppose that an elephant and a feather are dropped off a very tall building from the same height at the same time. 
Suppose also that air resistance could somehow be eliminated such that neither the elephant nor the feather would experience any air drag during the course of their fall. 
Which object - the elephant or the feather - will hit the ground first? 

The animation at the right accurately depicts this situation. 
  • The motion of the elephant and the feather in the absence of air resistance is shown. Further, the acceleration of each object is represented by a vector arrow.
Many people are surprised by the fact that in the absence of air resistance, the elephant and the feather strike the ground at the same time. Why is this so? This question is the source of much confusion (as well as a variety of misconceptions). Test your understanding by making an effort to identify the following statements as being either true or false. 
Before answering the following questions review the falling terms:  force, weight, gravity, mass, matter, weight, & acceleration
(add these questions & answers in your notes)
TRUE or FALSE:

      
  1. The elephant and the feather each have the same force of gravity.
  2. The elephant has more mass, yet both elephant and feather experience the same force of gravity.
  3. The elephant experiences a greater force of gravity, yet both the elephant and the feather have the same mass.
  4. On earth, all objects (whether an elephant or a feather) have the same force of gravity.
  5. The elephant weighs more than the feather, yet they each have the same mass.
  6. The elephant clearly has more mass than the feather, yet they each weigh the same.
  7. The elephant clearly has more mass than the feather, yet the amount of gravity (force) is the same for each.
  8. The elephant has the greatest acceleration, yet the amount of gravity is the same for each.



If you answered TRUE to any of the above, then perhaps you have some level of confusion concerning either the concepts or the words force, weight, gravity, mass, and acceleration

In the absence of air resistance, both the elephant and the feather are in a state of free-fall. 
  • That is to say, the only force acting upon the two objects is the force of gravity. This force of gravity is what causes both the elephant and the feather to accelerate downwards. 
  • The force of gravity experienced by an object is dependent upon the mass of that object. 
  • Mass refers to the amount of matter in an object. 

Clearly, the elephant has more mass than the feather. Due to its greater mass, the elephant also experiences a greater force of gravity. That is, the Earth is pulling downwards upon the elephant with more force than it pulls downward upon the feather. Since weight is a measure of gravity's pull upon an object, it would also be appropriate to say that the elephant weighs more than the feather. For these reasons, all of the eight statements are false; there is an erroneous part to each statement due to the confusion of weight, mass, and force of gravity.
 
But if the elephant weighs more and experiences a greater downwards pull of gravity compared to the feather, why then does it hit the ground at the same time as the feather? 

Great question!! To answer this question, we must recall Newton's second law - the law of acceleration
Newton's second law states that the acts in the opposite direction of the object, pushing against it. 

When figuring the acceleration of object, there are two factors to consider - force and mass

Applied to the elephant-feather scenario, we can say that the elephant experiences a much greater force (which tends to produce large accelerations. Yet, the mass of an object resists acceleration. Thus, the greater mass of the elephant (which tends to produce small accelerations) offsets the influence of the greater force. 

It is the force/mass ratio which determines the acceleration
Even though a baby elephant may experience 100,000 times the force of a feather, it has 100,000 times the mass. The force/mass ratio is the same for each. 

The greater mass of the elephant requires the greater force just to maintain the same acceleration as the feather.

A simple rule to bear in mind is that all objects (regardless of their mass) experience the same acceleration when in a state of free fall. 

When the only force is gravity, the acceleration is the same value for all objects. On Earth, this acceleration value is 9.8 m/s/s. This is such an important value in physics that it is given a special name - the acceleration of gravity - and a special symbol - g.
But what about air resistance? Isn't it nonrealistic to ignore the influence of air resistance upon the two object? In the presence of air resistance, the elephant is sure to fall faster.    Right?  mmmmmm!!!

PARACHUTE EXPERIMENT

PARACHUTE EXPERIMENT

Background information:



Air resistance force is the force that opposes an object's motion. Air resistance acts in the opposite direction of the object, pushing against it. The cause of such resistance boils down to molecules and atoms colliding with one another. As an object moves, its atoms and molecules collide with the atoms and molecules in the air; these tiny collisions add up to one large collision. However, air resistance force is dependent upon velocity


Air Resistance and Velocity - Even when you walk, air resistance force works against you, albeit very gently. Because you are not moving very fast, you won't even notice it, unless it is a very windy day. When you run, however, even on a calm day, you notice the effects on your face as the air pushes against you and rushes by you. The reason is that as you speed up, the collision of atoms and molecules happens at a faster rate and with more force. This translates to the air resistance force gets bigger as the speed or velocity of the object increases.


Air Resistance and Mass - Only taking into account body size -- not athletic ability -- smaller people of the same age can usually run faster than larger people. The reason is the air resistance force. The faster an object moves, the more air resistance; similarly, the larger an object, the more air that object must displace to push through it. This means for a larger person running that he must not only overcome air resistance that the accelerated velocity causes, but he must also overcome additional air resistance due to his size and shape.


Air Resistance and Shape - Cars, buses, trains, airplanes and even boats must overcome air resistance in order to get people from point A to point B. Transport vehicles for obvious reasons are much larger than the average human and must move much faster to make it worth the time for companies to build them. Therefore transport vehicles must overcome much larger air resistance forces due to faster velocities and larger masses. To help accomplish this, manufacturers streamline vehicles in an attempt to reduce drag. This process, however, is never straightforward and often designs that seem worthy turn out to produce more drag. Usually such designs are modified continuously and subjected to multiple wind tunnel tests to improve efficiency.
Objects in the Air - For objects moving in the air, another force impacts air resistance: gravity. Gravity is constantly pushing things back toward the ground, while air resistance pushes up on the object.
In most cases, the gravity force is much stronger than air resistance, and eventually the object hits the ground. For an airplane to counteract gravity, the plane must produce lift to keep it in the air and level. Planes accomplish this through the aerodynamic design of its wings, thereby making air resistance work for the plane.

BERNOULLI'S PRINCIPLE:  Bernoulli’s principle helps explain that an aircraft can achieve lift because of the shape of its wings. They are shaped so that that air flows faster over the top of the wing and slower underneath.
·         Fast moving air equals low air pressure while slow moving air equals high air pressure.
·         The high air pressure underneath the wings will therefore push the aircraft up through the lower air pressure.

REVIEW:
Falling objects increase their speed as they fall, because their weight (the force of gravity) pulls them to Earth. They also experience an upward force called air resistance (drag), which slows them down.
Objects fall faster until they reach their terminal speed, which is reached when the upward (air resistance) and downward (weight) forces are equal.

Falling objects

When an object is dropped it gets faster and faster as it falls. This happens because their weight (the force of gravity) pulls them down towards the center of the Earth.
As they fall through the air, they also experience an upward force called air resistance (drag).
·         Objects with large surface areas, such as parachutes or shuttlecocks fall more slowly because they experience more air resistance.
Frictional forces such as air resistance, friction and drag act against the direction of motion, so tend to slow the object down.  This fact is put to good use in the design of the parachute and shuttlecock.
The size of frictional forces can be reduced by streamlining the object or lubricating any moving parts.

Reducing frictional force

Examples of reducing frictional force by streamlining include:
  • A sports car is wedge-shaped to reduce air resistance and so increase top speed.
  • Lorries and caravans have deflectors to reduce both air resistance and fuel consumption.
  • A car with a roof box has increased air resistance and fuel consumption and a lower top speed.
  • A downhill skier puts wax on the skis to reduce friction and so increase the top speed.

Terminal speed

When objects fall through the Earth's atmosphere they get faster and faster until they reach a speed where the upwards force (air resistance) and downwards force (weight) equal each other. At this point the object travels at its fastest speed called terminal speed.
What happens when you drop a coin and small feather at the same time?
·         They both have a similar surface area but the feather weighs less so has a smaller force of gravity pulling it down.
·         As the feather falls its upwards air resistance increases and soon equals its downwards weight, so it then travels at terminal speed. The coin is heavier and has to be traveling a lot faster before its air resistance is large enough to equal its weight.

Terminal speed on the moon

The astronaut, David Scott carried out a famous experiment on the Moon. He dropped a hammer and a feather at the same time and found they landed together. As there is no air on the Moon there is no air resistance. The only force on both the hammer and feather was the Moon’s gravity which made them both fall with the same acceleration.

Balanced forces - The motion of a skydiver

Graph showing the motion of a skydiver

The speed increases in stages 1 and 2. At stage 3, the paracute is opened. The speed decreases until the paracutist lands.

Before the parachute opens

1. When the skydiver jumps out of the plane he accelerates due to the force of gravity pulling him down.
2. As he speeds up the upwards air resistance force increases. He carries on accelerating as long as the air resistance is less than his weight.
3. Eventually, he reaches his terminal speed when the air resistance and weight become equal. They're said to be balanced.

After the parachute opens

4. When the canopy opens it has a large surface area which increases the air resistance. This unbalances the forces and causes the parachutist to slow down.
5. As the parachutist slows down, his air resistance gets less until eventually it equals the downward force of gravity on him (his weight). Once again the two forces balance and he falls at terminal speed. This time it's a much slower terminal speed than before.