Find the time required for an airplane flight

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SUMMARY

The discussion focuses on calculating the time required for a small aircraft to fly 600 km due west while cruising at a speed of 80 m/s, with a wind blowing at 18 m/s from south to north. The aircraft's flight direction is adjusted to 13 degrees southwest to account for the wind. To determine the time for the trip, the velocity of the plane relative to the earth must be calculated first, which involves vector analysis of the aircraft's speed and wind speed.

PREREQUISITES
  • Understanding of vector diagrams and vector addition
  • Knowledge of relative velocity concepts
  • Familiarity with basic physics equations of motion
  • Ability to convert units (e.g., km to m)
NEXT STEPS
  • Calculate the resultant velocity of the aircraft using vector addition
  • Learn about relative velocity in the context of wind effects on flight
  • Study the equations of motion to relate distance, speed, and time
  • Explore practical applications of vector diagrams in aviation
USEFUL FOR

Aerospace engineering students, physics learners, and anyone interested in understanding flight dynamics and vector analysis in aviation contexts.

eddiedowen
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Homework Statement


A small aircraft cruises at a speed of 80 m/s in still air. The plane is scheduld to fly to a destination that is 600 km due west on a day on which the wind is blowing at 18 m/s from south to north.
It travels in a direction of 13 degrees SW. Find the time required for the trip.


Homework Equations





The Attempt at a Solution


 
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So, what have you done till now? Start with the vector diagrams.
 
I have the diagram all written out, I just don't know how to find the time. I have everything else solved except for the time.
 
Do you have the velocity of plane w.r.t. earth? If not find that and use it to find time.
 
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eddie, you must fill out the template before we are allowed to help you.
 

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