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OpenStudy (kkbrookly):
The angle between the heading and course of a ship is called the angle of drift.
Find the angle of drift of an airplane with air speed 240 km/hr on heading 90 degrees in a 65 km/hr wind in the direction 0 degrees. Find the ground speed of the airplane.
jimthompson5910 (jim_thompson5910):
|dw:1430537373807:dw|
jimthompson5910 (jim_thompson5910):
"airplane with air speed 240 km/hr on heading 90 degrees"
|dw:1430537384117:dw|
jimthompson5910 (jim_thompson5910):
|dw:1430537428613:dw|
"in a 65 km/hr wind in the direction 0 degrees"
jimthompson5910 (jim_thompson5910):
|dw:1430537461241:dw|
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jimthompson5910 (jim_thompson5910):
|dw:1430537489862:dw|
jimthompson5910 (jim_thompson5910):
what is x?
OpenStudy (kkbrookly):
248.646
jimthompson5910 (jim_thompson5910):
yes
jimthompson5910 (jim_thompson5910):
so without the wind, the plane would travel 240 km/hr
with the wind's help, the plane is actually travelling 248.646 km/hr
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jimthompson5910 (jim_thompson5910):
and it drifts towards the northeast direction
to actually fly north, the plane would have to aim in the northwest direction to have the resultant vector be true north
|dw:1430538749242:dw|
jimthompson5910 (jim_thompson5910):
of course, it's exaggerated so you can see the difference in the vectors but often the difference is so small I don't think it's easily noticeable