The principles of kinematics on an airport runway.

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Homework Help Overview

The discussion revolves around the application of kinematics in determining the appropriate length of an airport runway. Participants explore how principles of motion, acceleration, and forces interact in this context.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the role of jet engine acceleration and the necessary conditions for a runway to allow a plane to reach flight speed. There are mentions of classical mechanics and fluid dynamics as relevant fields. Questions arise about the specific kinematic equations and their application to the problem.

Discussion Status

The conversation is ongoing, with some participants providing insights into the factors affecting runway length, such as thrust, drag, and lift. Others are seeking clarification on the kinematic equations and their relevance to the discussion.

Contextual Notes

There is a focus on the variables involved in determining runway length, including the mass of the plane and aerodynamic coefficients. The original poster has requested a list of kinematic equations, indicating a need for foundational understanding in the context of the problem.

rockysmommy
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How are the principles of kinematics used in determining the length of an airport runway?
 
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Hi rockysmommy, welcome to PF

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.
 
Kinematics is the study of motion based on measurements of position and time. Based on these measurements one defines velocity and acceleration.

Classical Mechanics applies Newton's laws of motion and other principles to predict motion of the plane, and Fluid dynamics is also necessary to fully characterize the problem of runway length.

The simple variables are the mass of the plane, the coefficient of lift generated by the wings, the coefficient of drag opposing forward motion through air, and the thrust provided to accelerate the plane along the runway.

A short take-off and landing (STOL) plane has low mass (light weight), makes plenty of thrust, has a relatively high lift coefficient, and relatively small drag coefficient.

Determining the minimum runway length requires the solution of a differential equation based on these inputs in the simplified model. Landing takes a shorter runway than take-off for a given plane in virtually all cases.
 
rockysmommy said:
How are the principles of kinematics used in determining the length of an airport runway?

Can you list the kinematic equations of motion for us? And tell us a little about how you think they apply to your question?
 

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