View Poll Results: Is Vy flight path angle greater than Vx?

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  • Vy flight path angle is greater than Vx

    1 11.11%
  • Vx flight path angle is greater tha Vy

    7 77.78%
  • Other opinion / no opinion

    1 11.11%
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Thread: Vy flight path angle greater than Vx ???

  1. #41
    Hi Frank,


    You've made a number of interesting observations which are usually not examined in much detail.
    One is that an aircraft once free of the ground becomes a part of the air mass, it no longer experiences any effect of "wind", as wind is something experienced by an observer on the ground witnessing the movement of the air mass and interpreting that as "wind".
    The airplane is almost like a balloon released into the air. Almost in that the balloon has essentially no mass so with little inertia it moves almost instantly with any change in the air mass from any horizontal shear or up/down drafts, i.e. localized changes within the air mass.
    The aircraft on the other hand has a significant amount of mass and thus inertia so it resists any fast change in it's flight path from horizontal shear or up/down drafts.
    An illustration of this is a 747 going through localized changes within an air mass might report "light chop", while a J-3 going through that same area might report "Severe Turbulence".
    The less mass an object has which is experiencing localized air mass changes, the greater the g loading on the object due to those changes.


    And taking off with a tail wind can be ah "interesting". You're of course right that once the aircraft leaves the ground at it's normal lift off airspeed it flies no differently than when it lifts off at that same airspeed into a head wind.
    But in order to attain that normal lift off airspeed it has to be rollin along the runway at that noraml airspeed plus the tail wind speed.
    If the tail wind is just 1 or 2 knots it's not much of a problem but say 10 or 20 knots means the airplane will be on the ground roll 10-20 knots faster than normal and can get quite squirrley (difficult to control) while in contact with the ground.
    The other factor with tail wind take offs (and landings) is that as the wind increases in velocity a given percentage change in the tail wind velocity component effects the aircraft exponentially.
    e.g. a 20% change in the tail wind component (twc) with a 5 knot tail wind will show up for a few seconds as a 1 knot gain (if a twc decrese) or loss (if a twc increase) in airspeed until the aircraft overcomes it's inertia stabilizing at the airspeed prior to the twc chnge.
    OTOH, if it's a 20 kt tail wind component there would be a 4 Kt change and the aircraft's ability to overcome a 4 Kt change would take significantly longer than the few seconds of the 1 Kt change, which could result in premature unintentional ground contact (crash or incident).


    ...and yes, the Vx speed(s) determined for various gross weights, CG locations, and density altitudes you determine will provide the steepest angle of climb through the air mass at those conditions in any wind conduition.
    it will also be the steepest angle relative to a ground observer or a 50' obstacle;
    however, if you're climbing at Vx with a 20 knot twc your climb angle relative to a ground observer and a 50' obstacle will be much less steep than under no wind conditions even though the air mass relative angle hasn't changed at all,
    this because your performance perspective has changed to ground relative and not the normal in flight air mass relative.


    A suggestion for recording ground relative measurements of speed and distance is to use a GPS receiver that optimally records it's measurements at a 10Hz rate.




    Everyone,


    Since I started this string from an admittedly poor (wrong) thesis, let me add to the endeavor to develop POH standards.


    I'm afraid most comments on this thread were addressing the thread title and not it's intended subject - which is my fault, I expected the double question marks to convey too much meaning.


    I should have entitled the message "Defecient POHs due to lack of specifications, particularly techniques used to obtain data."
    The subject POHs are the Commercial GAMA Speciifcation No.1 required POHs, which are not exactly of much interest per se to the EAA community, but anyway something may be learned from others errors.


    If I recall I attached a spread sheet (ss) in my original post which (if anyone is actually interested can be analyzed and in so doing demonstrate specifically what I'm talking about).
    I'm attaching an expanded ss which may be easier to understand and a '78 C172 POH used in the ss and representative of all POHs due to GAMA specfication No. 1., and the GAMA Spec.


    To simplify, or at least vebalize what's contained in the SS:


    If you take the "Total distance to clear a 50" obstacle" minus the "Ground Roll Distance" (specified as such in all POHs) you would expect to have the distance from "Lift Off" to the obstacle. -
    Right?


    Then if you take the specified Vx KIASs converted to KCASs either specifically or averaged, convert to fpm then divide that into 50' (x 60) you have the number of seconds from lift off to 50' -
    Right?


    Now with number of seconds to climb to 50' you have the average climb rate from "Lift Off" to 50' -
    Right?


    Now take the arcsine of that climb rate (in fpm) and divide it by the previously determined fpmCAS and you have the average climb angle from "Lift Off" to 50' -
    Right?


    Doing the same process for Vy speeds you find the Vy angle is always greater than the Vx angle - Right? - Wrong!


    So whats wrong?


    1) the above logic?
    2) Trigonometry?
    3) the numbers specified in the POH?
    4) or something NOT specified in the POH?


    The attached spread sheet votes for 4) and possibly 3).


    What is apparently being left out of ALL commercial POHs is the technique that was used to obtain the POH 50' obstacle clearance numbers.


    The bottom line for Commercial GAMA specificatio No. 1 POHs is "trust" - BUT VERIFY.
    IOW: You should flight test for about 5-50 hours depending on the A/C before using the POH specifications for any critical flight operation.


    ...dropping the mike
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  2. #42

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    Happy

    Quote Originally Posted by Waldo Pepper View Post
    So whats wrong?
    1) the above logic?
    2) Trigonometry?
    3) the numbers specified in the POH?
    4) or something NOT specified in the POH?
    "4)" is not correct. Everything that an operator needs is in the AFM/POH. Angle of climb relative to the air mass that the airplane is flying through is useless information.

    "3)" is not correct. It is highly unlikely that the entire industry has been in error since the beginning.

    "2)" Trigonometry is correct and unchanging for anyone, as is physics. OTOH our use of it may be incorrect.

    Which leaves only "1)" and our use of "2)".

    Quote Originally Posted by Waldo Pepper View Post
    If you take the "Total distance to clear a 50" obstacle" minus the "Ground Roll Distance" (specified as such in all POHs) you would expect to have the distance from "Lift Off" to the obstacle. -
    Right?
    Kind of ... The total distance is comprised of 3 segments - time/distance to: acclerate to Vr, rotate and transition to Vx, and climb to 50'.


    Quote Originally Posted by Waldo Pepper View Post
    Then if you take the specified Vx KIASs converted to KCASs either specifically or averaged, convert to fpm then divide that into 50' (x 60) you have the number of seconds from lift off to 50' -
    Right?

    Now with number of seconds to climb to 50' you have the average climb rate from "Lift Off" to 50' -
    Right?

    Now take the arcsine of that climb rate (in fpm) and divide it by the previously determined fpmCAS and you have the average climb angle from "Lift Off" to 50' -
    Right?

    Doing the same process for Vy speeds you find the Vy angle is always greater than the Vx angle - Right?
    And here is the improper use of trigonometry "2)" and a simple logic error "1)".

    The angle of climb relative to the air (still a useless ... but fun number) is the inverse sine of the rate of climb divided by the calibrated airspeed (both in the same units). This is in error in the spreadsheets.

    Quote Originally Posted by Waldo Pepper View Post
    What is apparently being left out of ALL commercial POHs is the technique that was used to obtain the POH 50' obstacle clearance numbers.
    AFM/POHs don't leave anything out. The more recent versions will state exactly how one has to fly the airplane to achieve book values. Along those lines (and this will raise eyebrows), everyone should be able to meet or exceed peformance numbers that are in the AFM sections (FAA approved data) of their AFM/POHs. We intentionally add time/distance to be conservative. In addition, our obsticals are at the exact beginning/end of the runway. IOW the landing distance starts at the top of the obstical over the runway surface.

    An AFM/POH forum at Oshkosh looks like more and more fun every moment

  3. #43

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    Quote Originally Posted by Waldo Pepper View Post
    What is apparently being left out of ALL commercial POHs is the technique that was used to obtain the POH 50' obstacle clearance numbers.
    The non-GAMA format handbook for the 1970 Cardinal I fly specifies exactly how to obtain those book numbers. Once I obtain those numbers I'm going to do what we do in airline world and add 40-50% safety margin. That's for my less than perfect technique and mediocre piloting skills. I don't need to get anywhere bad enough to push the limit values. Then I'll feel safe, and clear whatever I need to clear by a comfortable margin.

  4. #44

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    Quote Originally Posted by Ron Blum View Post
    The angle of climb relative to the air (still a useless ... but fun number) is the inverse sine of the rate of climb divided by the calibrated airspeed (both in the same units).
    Minor nit - it would be the arctan (inverse tangent), not the inverse sine, since the airspeed is measured along the hypotenuse of the triangle, not the leg parallel to the ground. But at the small angles at which our aircraft can climb, the difference between the two is negligible. Get a very high powered aircraft with large climb angle capability, however, and the difference is NOT negligible.

  5. #45

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    Marty: LOL. Good way to stay safe.

    Quote Originally Posted by Marc Zeitlin View Post
    Minor nit - it would be the arctan (inverse tangent), not the inverse sine
    Marc: You've been out of school too long. The sine of an angle is the side opposite divided by the hypotenuse. I'm going to guess that you are teaching the great Waldo Pepper new math (trigonometry). Facts not flames.

  6. #46

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    Quote Originally Posted by Ron Blum View Post
    Marc: You've been out of school too long.
    Oh for crap's sake. Of course you're right. 38 years is too long, I guess...

  7. #47

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    It would be nice to just be able to thumbs up a post. There is probably a way, but I’m too old to figure it out.

    My bottom line is to assure that Waldo Pepper has all the correct information that he was/is looking for.

  8. #48

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    Quote Originally Posted by Ron Blum View Post
    It would be nice to just be able to thumbs up a post.
    I agree! I look for that all the time!
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  9. #49

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    LOL. You’re my hero. Thanks.

  10. #50

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    Quote Originally Posted by Waldo Pepper View Post

    .........

    2) Why is there no specification of ground roll distance for a lift off at Vy in any of the POHs I looked at and not required in the GAMA specification? It seems that this distance would be closest to the distance of a normal TO roll, and therefore an important number to include.
    Because no one expects you to accelerate to Vy before lift off. Rotation is prior to reaching Vy to an attitude that allows the aircraft to continue to accelerate to Vy and continue the climbout. A "normal" takeoff has a lift off speed that is less than Vx in many cases.

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