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Airplane and Wind Vector question

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



An airplane is heading due south at a speed of 500 km/h. If a wind begins blowing from the southwest at a speed of 100 km/h, calculate the velocity of the plane relative to the ground, and how far off course it will be after 10 min. if the pilot takes no corrective action.

Answer: 435 km/h, 9.36 degrees east of south


Homework Equations



x = hypotenuse * cos(45)
x = 100 km/h * cos(45)

y = hypotenuse * sin(45)
Y = 100 km/h * sin(45)

The Attempt at a Solution



First I drew a diagram with N, E, S, W labeled. I then drew a line going NE since the wind is coming from SW. Then using the same starting point as the wind I drew 500 km/h going south to represent the airplane. I now wrote in a 45 degree angle for the wind. From this point I made a right triangle for the wind. To find the x and y I used sin and cos to get the values y = 70.71 km/h and x = 70.71 km/h. Am I on the right track or no?
 

Answers and Replies

  • #2
PeterO
Homework Helper
2,425
46

Homework Statement



An airplane is heading due south at a speed of 500 km/h. If a wind begins blowing from the southwest at a speed of 100 km/h, calculate the velocity of the plane relative to the ground, and how far off course it will be after 10 min. if the pilot takes no corrective action.

Answer: 435 km/h, 9.36 degrees east of south


Homework Equations



x = hypotenuse * cos(45)
x = 100 km/h * cos(45)

y = hypotenuse * sin(45)
Y = 100 km/h * sin(45)

The Attempt at a Solution



First I drew a diagram with N, E, S, W labeled. I then drew a line going NE since the wind is coming from SW. Then using the same starting point as the wind I drew 500 km/h going south to represent the airplane. I now wrote in a 45 degree angle for the wind. From this point I made a right triangle for the wind. To find the x and y I used sin and cos to get the values y = 70.71 km/h and x = 70.71 km/h. Am I on the right track or no?
That's one good way to start. What next?
 
  • #3
3
0
I am stumped. Where do I go from here?
 
  • #4
After you get your velocity how do you find how the course of the plane movd in five minutes??
 
  • #5
3
0
I don't know. I never got a reply and ended up dropping the course without having to pay for it fortunately.
 

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