Xwind Calculation at Airlines

Annnnnd this is why I'm a controller and not a pilot. I'm much better at video games than math.

I hear ya brother! I was a psych major and a poor one at that (Hey, if the mins weren't good enough..). I can tell you how I "feel" about math and big numbers. They make my head hurt and most of the time I just feel stupid. :(
 
When guys break out the iPad app with wind and runway heading:

images

I only saw that at Eagle a few times, this made me laugh!
 
... This is why I get frustrated when pilot brag about how little math they know how to do...
...Sweet! You grab your smart phone and plug these numbers into the calculator...

Wait, so you know trigonometry, but you still need to use a calculator? You can't calculate sin(θ) in your head?

... right.

-Fox
 
Sigh....

This is why I get frustrated when pilot brag about how little math they know how to do. To be honest, because of this sort of thing, trigonometry was by far the most useful class I took in college in relation to being a pilot for a living. If you were going to take and care about one and only one math class as a pilot - care about trig. It has so many relatively "day to day" applications I don't even know where to begin. The rules of thumb are great (about the only one I ever cared to think about was the 5/7/9 rule as someone mentioned above) and the rules for figuring out a 3° glide slope, but there are quite a few ways that you can use trig in the flight planning process, or even in route - in fact I've done it.

For instance - you're sitting up at FLXXX headed to your destination bored out of your gourd, the GOM/FOM/WOM (whatever OM) says that pilots shall not attempt to land with greater than what's published in the manual, which, let's say is 30KTS. The wind has been steady directionally 50°, but gusting up and down all evening. How do you know you're going to be legal to even try it? Reaching back to high school we remember:

sin Theta = Opposite / Hypotenuse. Well, we know the Theta (that's your angle), the sine of theta - or sin(θ) if you're mathematically inclined - is equal to the ratio of the opposite end of the triangle you've drawn and the hypotenuse. Someone has drawn a really awesome picture of this.

SOHCAHTOA_500.gif


Since you know that the hypotenuse is the wind pointing at you, the "adjacent angle" is going to be your groundspeed, the crosswind component is the "opposite angle." So let's set up the problem:

sin(angle_between_runway_and_wind) = crosswind_component / wind_speed

Recall that we already knew what the max crosswind component we could tolerate was and the wind speed so:

sin(50°) = 30 Knots / wind_speed

So we do some algebra:

sin(50°) = 30kts / wind_speed ----> wind_speed * sin(50°) = 30kts -----> wind_speed = 30kts / sin(50°)

Sweet! You grab your smart phone and plug these numbers into the calculator, "Okay, sine 50 is -.2623...! That can't be right!" You're correct, it isn't right, you need to be using degrees and the calculator is in radians- which if you had taken trig you'd know why, but suffice it to say that you can still use your smartphone's calculator, just make sure it's in degrees and not radians. The one on my iPhone says "rad" over in the left side when it's in radians. YMMY. Anyhow, 30kts / sin(50°) is 39.16kts, or 39kts. If the gusts are above 39 knots, land somewhere else or whatever, be a hero, but if you ball it up know that this is the way the NTSB will figure out what your crosswind component was.

That whole chart above covers other things too. Ever wonder why a 3° glide slope is about 300' / nm? That's why. Ever wonder how VNAV descent profiles get calculated? That's how (among a few other ways) it's done. Trig is insanely useful to know.
Or, I can just plug it into my iPad app.
 
Wait, so you know trigonometry, but you still need to use a calculator? You can't calculate sin(θ) in your head?

... right.

-Fox

In radians I can do most of the common angles in my head...

Also, it's about methods of problem solving and understanding why things are the way they are - not about being some kind of mentat.
 
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At AA in DECS, there is an entry RW*/CTY/ALL/DIR/SPEED. It converts true to magnetic winds and gives you the crosswind component for each runway at the field you are looking at. What it doesnt do is convert magnetic to true so if you use winds that are quoted in magnetic, your crosswind component will be off unless you convert the magnetic value to true and then run the entry.

One gotcha can be that the digital ATIS winds are connected to the ASOS and thus are quoted in true values whereas the none digital ATIS are in magnetic.
 
At AA in DECS, there is an entry RW*/CTY/ALL/DIR/SPEED. It converts true to magnetic winds and gives you the crosswind component for each runway at the field you are looking at. What it doesnt do is convert magnetic to true so if you use winds that are quoted in magnetic, your crosswind component will be off unless you convert the magnetic value to true and then run the entry.

One gotcha can be that the digital ATIS winds are connected to the ASOS and thus are quoted in true values whereas the none digital ATIS are in magnetic.
Probably doesn't matter most places in the lower 48...though I see now that despite the flagship name you're dxing AA so yeah that makes sense.
 
One gotcha can be that the digital ATIS winds are connected to the ASOS and thus are quoted in true values whereas the none digital ATIS are in magnetic.

Interesting. I thought if it is written..it's true (true north) and if spoken (atis, Asos, ATC). It's magnetic. Please correct me if I'm mistaken.
 
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