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Transcript of Kinematics
Based on these measurements, one defines velocity and acceleration. Applying kinematics to determine the lengths airport runway The length of an airport runway is determined with Kinematics from such values as the speed of the plane at takeoff, and the acceleration of the plane. Classical Mechanics applies Newton's laws of motion and other principles to predict motion of the plane, this is necessary to fully characterize the problem of runway length.
The simple variables are the mass of the plane, the amount of lift generated by the wings, the amount of drag opposing forward motion through air, and the thrust provided to accelerate the plane along the runway. Airplane takeoff When airplanes takeoff they will travel into the wind so as to reduce the speed they need to reach to take off. If they have a takeoff velocity of 220km/h and there is a wind speed of 30km/h then if the plane is going towards the wind it will only need to reach a speed of190km/h. Smaller planes will have a lower takeoff speed and thus need to reach a lower velocity Design can depend on the purpose of the aircraft:
Commercial Airlines: designed to carry passenger's and cargo distances
Fighter Jets: designed for high speed movements
Aircraft Design Aspects:
Aerodynamics, and controls
Wing Design: wing geometry affects the aircraft's flight
Propulsion: achieved by specifically designed aircraft engines
Weight: various weights are used to calculate the mass of the entire aircraft
the mass must fit with manufacturers limits
Structure: structure must be able to withstand stress caused by pressure, turbulence, and engine vibrations Kinematics is a study aimed at explaining the motion of objects. Runway Lengths part II - A runway is a defined rectangular area on a land aerodrome prepared for the landing and takeoff of aircraft.
- Runway dimensions vary from as small as 245 m (804 ft) long and 8 m (26 ft) wide in smaller general aviation airports, to 5,500 m (18,045 ft) long and 80 m (262 ft) wide at large international airports built to accommodate the largest jets. The other variables used for determining the lengths of airport runways are:
The mass of the plane
The coefficient of lift generated by the wings
The coefficient of drag opposing forward motion through air
The acceleration required for the plane to take off of the runway Landing takes a shorter runway than taking-off does for most planes Just the Basics: How Kinematics in airport runways
have improved safety and quality of life Kinematics have made flying far safer and improved the general conditions for people who are flying by:
Ensuring safer air travel:
kinematics has helped people be able to determine the proper lengths and measurements required for airport runways, which has helped make flying safer
Giving more people the opportunity to travel by airplane
The ability to use velocity in producing aircrafts have resulted in the ability to produce larger aircrafts which can be useful in commercial flying as more people are able to travel
These improvements are important, because they have helped people be able to travel greater distances in a safe and affordable way Definitions: Uniform Motion: Motion with a constant speed in a straight line. Speed or direction are not changing.
Velocity: The speed of something in a given direction.
Acceleration: increasing in the rate and speed of something.
Graphical Methods: Technique used to find graphically the breakeven point and highlight the cost-volume-profit relationships over a wide range of activity.
Vector Methods:Methods that make use of the behavior of physical quantities under coordinate transformations
Displacement: the moving of something from its place or position
Position: a place where something is located in relative to another point
Algorithmic Methods: step by step calculations used to solve problems How does kinematics apply to determine the lengths of an airport runway? The jet engines provide a certain amount of acceleration for the jet. Then you simply need to make sure that the runway is long enough to accelerate up to flight speed. Large Airplane takeoff A boeing 747, which is one of the most commonly used airplanes for commercial flights, has a takeoff speed of around 300km/h. It takes approximately 55 seconds to take off. a=Vf-Vi/t a=300-0/55 a=5.45m/s^2 d=Vit+1/2at^2 d=1/2(5.45)(55)^2 d=8,243m This shows that in a perfect machine that accelerated uniformly with no friction a plane would need 8,243m to takeoff. This also does not take into account wind speed which would, if used properly, reduce the takeoff speed required for a plane. Bibliography:
Read more: http://www.answers.com/topic/graphical-method#ixzz2ODKjrzAE
Very kind man at the Edson airport :) <3 Fighter jet take-off A F/A-18 Hornet was a fighter jet used in WWII, has a take-off speed of around 121 mph = 239.7 kph. The fighter jet takes approximately 34 seconds.
Not taking into consideration the many different forces acting on the plane, such as friction or air resistance, the plane would need approximately 4080m. Although, for landing, the jets need longer runway lengths because the speed of jets are very high and more time is needed to slow the plane down Starting with the definitions of displacement, velocity, and acceleration, we can derive equations that allow us to predict the motion of an object The Edson Airport Runway: These are the blueprints for the Edson airport runway: The Edson airport continued: The following are videos that describe Edson's airport runway, the lighting signal system, and the taking off and landing patterns of airplanes: The following are pictures of the airport runway: See videos in file called 'kinematics' The following are pictures of the lighting signal system in Edson: Airbus A319 take off length An Airbus A319 is a medium sized aircraft, holding up to 160 passengers. This airplane has a take-off speed of 273.588 kph. The Airbus A319 needs approximately 33 seconds to take off.
a=8.30m/s^2 d= 4519m
Not taking into consideration the many different forces acting on the plane, such as friction or air resistance, the plane would need approximately 4519m to land. Probably the scariest takeoff in history...