Calculate Runway Length for Airplane Take-Off (330.2 Tonnes)

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SUMMARY

The discussion focuses on calculating the required runway length for a fully loaded airplane weighing 330.2 tonnes, which accelerates to a take-off speed of 85.81 m/s using two jet engines that each produce 456.7 kN of thrust. The problem assumes constant acceleration and neglects air resistance and friction. Participants emphasize the relationship between acceleration, power, and final velocity, guiding towards the use of kinematic equations to derive the runway length.

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  • Understanding of Newton's Second Law of Motion
  • Familiarity with kinematic equations
  • Basic knowledge of thrust and power calculations
  • Concept of constant acceleration in physics
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  • Study kinematic equations for motion under constant acceleration
  • Research the relationship between thrust, power, and acceleration
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synergy80
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A fully loaded air plane with a mass of 330.2 tonnes is at one end of the runway and about to take off. Assume that the plane starts from rest with constant acceleration until it reaches the take-off speed of 85.81 ms-1. The air plane uses two jet engines each developing 456.7 kN thrust at full power. Neglect air resistance and friction between the tires and the runway.

Calculate the length of the runway, in metres, required for take-off.



Any idea how I can be able to start and solve this questions? Hints please.
 
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Hi Synergy80, welcome to PF

your probelm says the plane:
starts at rest (v0 = 0)
moves with constant acceleration,
and you know the power and the final velocity...

any idea how to relate a, P and v?
try and show some working
 
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