Yet another vortex question

[oriont]

Not sure if I should be placing all my questions into 1 thread, but if you would like to consolidate all my vortex threads, let me know.

The problem reads: " Shortly after takeoff a pane is climbing northwest through still air at an airspeed of 200km/hr and rising at a rate of 300m/min. Resolve into components its velocity vector in a coordinate system in which the x-axis points east, the y-axis points north and the x-axis points up."

What I get:

Since the angle is 45 Degrees or ?(2)/2

100 ?(2)j
-100 ?(2)i

What I don't understand:

The books gives k as 18

Questions:
Am I supposed to be graphing the K value?
If so how?
How did they come up with k=+18

Thanks in advance.

 

[tkhunny]

I would guess that second 'x' should be a 'z'.

Where did you get "100"? I realize 100 = 200/2. but this is not overwhelmingly related to the problem statement.

1) 200 kph is a 3D resultant vector.
2) You didn't use the 300 m /min (z-component of the resultant vector)

Give it another go. Let's see what you get.

 

[oriont]

I would guess that second 'x' should be a 'z'.

Where did you get "100"? I realize 100 = 200/2. but this is not overwhelmingly related to the problem statement.

1) 200 kph is a 3D resultant vector.
2) You didn't use the 300 m /min (z-component of the resultant vector)

Give it another go. Let's see what you get.

I got 100 from the fact that the plane is going northwest which is 45­° west of north since that is ?(2)/2 I multiplied that by 200 to get 100 ?(2)j since the plane is going north and -100 ?(2)i since the plane is going west.

Probably not doing that right, but that is how I did it. Getting lost here.

 

[tkhunny]

100 would be great if the aircraft were stuck to a single plane. I isn't. It is gaining altitude. You need a third element - maybe that 300 you didn't use?

 

[Deleted member 4993]

Not sure if I should be placing all my questions into 1 thread, but if you would like to consolidate all my vortex threads, let me know.

The problem reads: " Shortly after takeoff a pane is climbing northwest through still air at an airspeed of 200km/hr and rising at a rate of 300m/min. Resolve into components its velocity vector in a coordinate system in which the x-axis points east, the y-axis points north and the x-axis points up."

What I get:

Since the angle is 45 Degrees or ?(2)/2

100 ?(2)j
-100 ?(2)i

What I don't understand:

The books gives k as 18

Questions:
Am I supposed to be graphing the K value?
If so how?
How did they come up with k=+18 <<<<< 300 m/min = 18 km/hr

Thanks in advance.