How Does Wind Affect Airplane Velocity and Travel Time?

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SUMMARY

The discussion focuses on calculating the impact of wind on airplane velocity and travel time, specifically addressing a scenario where a pilot flies at 800 km/h towards a city 800 km due east with an 80 km/h wind from the northeast. The key calculations involve determining the appropriate heading for the airplane to counteract the wind's effect and calculating the total travel time. The solution involves vector analysis, where the wind vector is represented in relation to the airplane's velocity vector.

PREREQUISITES
  • Understanding of vector addition and subtraction
  • Knowledge of basic trigonometry for angle calculations
  • Familiarity with concepts of relative velocity
  • Ability to interpret wind vectors in aviation contexts
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Aerospace engineering students, pilots, meteorologists, and anyone interested in the dynamics of flight and the effects of wind on airplane navigation.

Hollysmoke
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I'm studying for an upcoming test but I'm having trouble understanding some of the aspects of vector as a velocity, and answering the questions. Here's a question that I am stuck on:

The pilot of an airplane flies at 800km/h wishes to travel to a city 800km due east. There is an 80 km/h wind from the northeast.

a) What should the plane's heading be?
b) how long will the trip take?

Thank you for your help ^^
 
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What I tried to do was draw a vector east for the 800km/h, and there should be northwest wind vector to form a paralleogram. Not sure though...
 
nvm figured it out
 

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