Relative Motion - Airplane Problem

  • Thread starter harujina
  • Start date
  • #1
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Homework Statement



An airplane has a velocity 325km/h relative to the air. It is going in a direction [S30W]. There is a wind velocity of 80km/h[W]. What is the velocity of the plane relative to the ground?

Homework Equations



aVg + pVa = pVg
(velocity of air relative to ground + velocity of plane relative to air = velocity of plane relative to ground)

The Attempt at a Solution



pVa = 325km/h and aVg = 80km/h [W] and pVg = ? [S30W]

correct?
i know pVg^2 = aVg^2 + pVa^2
but, i'm not getting the number i'm supposed to?
 

Answers and Replies

  • #2
The problem does not state specifically that the vectors form a 90 degree triangle. So you cannot assume that.
 
  • #3
380
7
You could divide pVa into components.
 
  • #4
Can you possibly attach a diagram showing the vectors?
 
  • #5
haruspex
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pVa = 325km/h and aVg = 80km/h [W] and pVg = ? [S30W]
Where do you get the direction from? I read it as pVa = 325km/h [S30W] and the direction of pVg is unknown. See if that gives the desired answer.
 

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