Vector addition exercise: Plane and Wind
I sit since 2 days on it and can't solce it:
A plane flies with the speed of vF=240 km/h in direction of north. It flies into a storm from north east with the wind speed of v=90 km/h.
What's the actual speed of the plane above the ground and how big is the angle deviaton between actual course and the heading?
Since vectorial addition usually has 3 variables, I needed a couple of hours to figuring out how it could be solved, so I tried:
√(vF^2+v^2) for plane speed, but it doesn't make any sense that it goes faster. With it the angle deviation would be also false.
plane-geometry
asked Nov 24 at 12:53
Flo
1
|
show 1 more comment
I sit since 2 days on it and can't solce it:
A plane flies with the speed of vF=240 km/h in direction of north. It flies into a storm from north east with the wind speed of v=90 km/h.
What's the actual speed of the plane above the ground and how big is the angle deviaton between actual course and the heading?
Since vectorial addition usually has 3 variables, I needed a couple of hours to figuring out how it could be solved, so I tried:
√(vF^2+v^2) for plane speed, but it doesn't make any sense that it goes faster. With it the angle deviation would be also false.
plane-geometry
asked Nov 24 at 12:53
Flo
1
refer math.meta.stackexchange.com/questions/5020/… for proper formatting
– idea
Nov 24 at 12:57
If you want the vectors to have three variables, use the first coordinate for east, the second for north, and set the third coordinate always to zero.
– David K
Nov 24 at 13:01
That still doesn't really change anything.
– Flo
Nov 24 at 13:28
Then the complaint about "3 variables" was not really relevant, was it? Have you done vector sums before? What are the vectors in this problem, and how do they need to be added to get an answer?
– David K
Nov 24 at 14:11
Hint: you have computed the correct speed over the ground if the wind were coming from the east. But the problem says the wind comes from the northeast.
– David K
Nov 24 at 14:13
|
show 1 more comment
I sit since 2 days on it and can't solce it:
A plane flies with the speed of vF=240 km/h in direction of north. It flies into a storm from north east with the wind speed of v=90 km/h.
What's the actual speed of the plane above the ground and how big is the angle deviaton between actual course and the heading?
Since vectorial addition usually has 3 variables, I needed a couple of hours to figuring out how it could be solved, so I tried:
√(vF^2+v^2) for plane speed, but it doesn't make any sense that it goes faster. With it the angle deviation would be also false.
plane-geometry
asked Nov 24 at 12:53
Flo
1
I sit since 2 days on it and can't solce it:
A plane flies with the speed of vF=240 km/h in direction of north. It flies into a storm from north east with the wind speed of v=90 km/h.
What's the actual speed of the plane above the ground and how big is the angle deviaton between actual course and the heading?
Since vectorial addition usually has 3 variables, I needed a couple of hours to figuring out how it could be solved, so I tried:
√(vF^2+v^2) for plane speed, but it doesn't make any sense that it goes faster. With it the angle deviation would be also false.
plane-geometry
plane-geometry
asked Nov 24 at 12:53
Flo
1
asked Nov 24 at 12:53
Flo
1
asked Nov 24 at 12:53
Flo
1
asked Nov 24 at 12:53
Flo
1
asked Nov 24 at 12:53
Flo
1
1
refer math.meta.stackexchange.com/questions/5020/… for proper formatting
– idea
Nov 24 at 12:57
If you want the vectors to have three variables, use the first coordinate for east, the second for north, and set the third coordinate always to zero.
– David K
Nov 24 at 13:01
That still doesn't really change anything.
– Flo
Nov 24 at 13:28
Then the complaint about "3 variables" was not really relevant, was it? Have you done vector sums before? What are the vectors in this problem, and how do they need to be added to get an answer?
– David K
Nov 24 at 14:11
Hint: you have computed the correct speed over the ground if the wind were coming from the east. But the problem says the wind comes from the northeast.
– David K
Nov 24 at 14:13
|
show 1 more comment
refer math.meta.stackexchange.com/questions/5020/… for proper formatting
– idea
Nov 24 at 12:57
If you want the vectors to have three variables, use the first coordinate for east, the second for north, and set the third coordinate always to zero.
– David K
Nov 24 at 13:01
That still doesn't really change anything.
– Flo
Nov 24 at 13:28
Then the complaint about "3 variables" was not really relevant, was it? Have you done vector sums before? What are the vectors in this problem, and how do they need to be added to get an answer?
– David K
Nov 24 at 14:11
Hint: you have computed the correct speed over the ground if the wind were coming from the east. But the problem says the wind comes from the northeast.
– David K
Nov 24 at 14:13
refer math.meta.stackexchange.com/questions/5020/… for proper formatting
– idea
Nov 24 at 12:57
refer math.meta.stackexchange.com/questions/5020/… for proper formatting
– idea
Nov 24 at 12:57
If you want the vectors to have three variables, use the first coordinate for east, the second for north, and set the third coordinate always to zero.
– David K
Nov 24 at 13:01
If you want the vectors to have three variables, use the first coordinate for east, the second for north, and set the third coordinate always to zero.
– David K
Nov 24 at 13:01
That still doesn't really change anything.
– Flo
Nov 24 at 13:28
That still doesn't really change anything.
– Flo
Nov 24 at 13:28
Then the complaint about "3 variables" was not really relevant, was it? Have you done vector sums before? What are the vectors in this problem, and how do they need to be added to get an answer?
– David K
Nov 24 at 14:11
Then the complaint about "3 variables" was not really relevant, was it? Have you done vector sums before? What are the vectors in this problem, and how do they need to be added to get an answer?
– David K
Nov 24 at 14:11
Hint: you have computed the correct speed over the ground if the wind were coming from the east. But the problem says the wind comes from the northeast.
– David K
Nov 24 at 14:13
Hint: you have computed the correct speed over the ground if the wind were coming from the east. But the problem says the wind comes from the northeast.
– David K
Nov 24 at 14:13
|
show 1 more comment
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refer math.meta.stackexchange.com/questions/5020/… for proper formatting
– idea
Nov 24 at 12:57
If you want the vectors to have three variables, use the first coordinate for east, the second for north, and set the third coordinate always to zero.
– David K
Nov 24 at 13:01
That still doesn't really change anything.
– Flo
Nov 24 at 13:28
Then the complaint about "3 variables" was not really relevant, was it? Have you done vector sums before? What are the vectors in this problem, and how do they need to be added to get an answer?
– David K
Nov 24 at 14:11
Hint: you have computed the correct speed over the ground if the wind were coming from the east. But the problem says the wind comes from the northeast.
– David K
Nov 24 at 14:13