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Aircraft motion as vectors

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6. An aircraft of top speed 340 km per hour sets a course to the north-east but, owing to the prevailing wind, its actual speed relative to the ground is 450 km per hour in a direction of 40° east of north. Using analytical and graphical methods:

a. Represent the aircraft motion as vectors
b. Find the direction and the speed of the winds

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Solution Summary

Using analytical and graphical method, an aircraft motion is analysed, in a condition where wind is blowing in a direction different from aircraft motion.

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Velocity of aircraft in no wind va/w = 340 km/hr to North == 340j
Let us assume velocity of wind with respect to ground vw/g = vx.i + vy.j
Because of wind, aircraft velocity with respect to ground, va/g = ...

Solution provided by:
Amrit Lal Ahuja, PhD (IP)
Education
  • BEng, Allahabad University, India
  • MSc , Pune University, India
  • PhD (IP), Pune University, India
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