SOLUTION: The nose of a plane is pointing west with an airspeed of 350 km/h. The plane’s
resultant ground velocity is 315km/h [S75°W]. Determine the speed and direction of the wind. Inc
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Question 1163662: The nose of a plane is pointing west with an airspeed of 350 km/h. The plane’s
resultant ground velocity is 315km/h [S75°W]. Determine the speed and direction of the wind. Include a labeled diagram with your solution.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
West, when superimposed on a polar coordinate system is at 270°. So the air velocity vector in polar coordinates is )
. Converting to rectangular coordinates:
,350\sin(270^\circ)\)\ =\ \(350,0\))
S75°W is the same as W15°S, so the polar coordinates of the ground velocity vector are )
, so the rectangular coordinates are:
,350\sin(285^\circ)\))
The sum of the air velocity vector and the wind vector is the ground velocity vector, therefore the wind vector is the air velocity vector minus the ground velocity vector. Just do the arithmetic.
John
My calculator said it, I believe it, that settles it
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