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Use of rudder in turns

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Old 15th Nov 2008, 17:38
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In simple terms - as has been stated - you DON'T need rudder once in the turn. You DO need it when rolling in and out of turns in order to counter adverse aileron yaw which occurs whenever the ailerons are deflected from the neutral position i.e. generating lift and therefore drag. Try it in a glider .
Maybe I should read Stick and Rudder again but I lost interest the first time after he called the elevators 'flippers' one too many times.
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Old 15th Nov 2008, 18:28
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It came as a sort of eureka moment as it explained a number of things I'd noticed while flying. Like why is the ball not where I expect it to be when turning? Why are my 45 degree steep turns suddenly becoming 60 degrees and more? Why am I loosing height? Why I am finding it so difficult to keep the plane level in a steep turn? Why do I need so much back pressure?
Don't blame the rudder for that.

Turns steepen because the outside (top) wing travels faster than the inside (bottom) wing. So there's a net rolling moment into the turn. If you don't hold out-of-turn aileron against that, your angle of bank will increase.

Once you have that angle of bank properly fixed, the next thing to concentrate on is the balanced flight -- non-slipping flight. That will (near enough) minimise the drag and therefore minimise the back pressure you need. The yaw budget in the turn has many contributions working in both directions. You will usually need into-turn rudder for the reason I described earlier, but there are other effects: if your out-of-turn aileron creates enough adverse yaw, you may actually find yourself skidding into the turn.

Different speeds and different angles of bank mean the various contributions net out differently. The only useful rule for minimising drag is "don't slip", which is almost equivalent to saying "keep the ball in the middle".
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Old 15th Nov 2008, 19:08
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you DON'T need rudder once in the turn.
Rudder may, or may not be needed in a turn. Often in a shallow turn, inside rudder, or rudder applied into the turn (also called "bottom rudder") may be required. In a steep turn, especially very steep turns, outside, or "top" rudder may be required. It really depends on the airplane and what's being done with it.
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Old 15th Nov 2008, 20:08
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Turns steepen because the outside (top) wing travels faster than the inside (bottom) wing.
I've heard the same thing in a number of places and accepted it as gospel. But I just did the calculation for a PA-28 with a wingspan of 10.66 meters, doing a standard rate turn at 100 knots. I found that the radius of such a turn is 955 meters, so the speed difference between the wingtips is just a hair over 1.1%. Lift is not generated by the wingtips alone but by the whole wing so measured over the whole wing the speed difference, and therefore the lift difference, is more like 0.5%. I can't believe this is really responsible for the steepening of the turn.

Even in a 60 degree, 2g steep turn at 100 knots the radius of the turn is still 125 meters. This is still less than 5% speed difference between the wingtips, and maybe 2.5% speed/lift difference across the whole wing.

It would seem that even a little turbulence would have more impact than these low numbers. Any comments?
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Old 15th Nov 2008, 20:16
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"Blimey, this is one way of complicating one of the simplest things"

----It's not simple.


"I couldn't care what a book says. Chuck has it nailed."

---You should ...and he doesn't.

"Don't overcomplicate things, unless you are designing the aircraft from scratch, just do whatever you need to do to make the a/c respond how you want it to."

---They are complicated. How do you know what it is you need to "do" to make the aircraft respond the way you want? Intuition ?...say along the lines of slow speed, ground coming up, pull harder on the stick...type intuition.

"Rocket science it ain't."

---Science yes ...rockets...correct at no stage were rockets mentioned.

TIM
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Old 15th Nov 2008, 20:32
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I can't believe this is really responsible for the steepening of the turn.
Kudos to you for sanity-checking the numbers!

If you look at the very small amounts that the ailerons deflect in order to command relatively high roll rates, you'll see that even small differences in lift have a big effect in roll.

so the speed difference between the wingtips is just a hair over 1.1%.
OK, lift is proportional to speed squared, so that's about a 1% difference in lift at the midpoint of the wing. How do you think a 10 or 15 kg block of lead hung off one wingtip would feel in flight? How does your aircraft feel with a fuel imbalance?
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Old 15th Nov 2008, 20:35
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L says that at slow speed the yaw in the case of banking only with the aerilon can be so severe as to cause the plane to turn in the opposite direction. Has anyone been able to verify that?
Yes, can be. Needs to be an aircraft with more than the usual amount of adverse yaw, probably without differential ailerons. Several older types of glider exhibit this behavior, the slingsby tutor for example. The greater the aspect ratio the more noticeable this is, usually. One microlight I have flown will do this, the X-Air, and probably others. Anyone fly a luscombe here, I seem to remember a fairish amount of adverse yaw? You do need to be flying pretty near the stall to make this happen, though.

Backpacker, quite right

Even in a 60 degree, 2g steep turn at 100 knots the radius of the turn is still 125 meters. This is still less than 5% speed difference between the wingtips, and maybe 2.5% speed/lift difference across the whole wing.
Think about the airflow on the whole a/c. Unless you have a banana shaped fuselage there will be a sideways lift on the fin and rudder and of course the fuselage, which will have far more effect than the tiny speed difference between the wings. A very small number squared is still a very small number
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Old 15th Nov 2008, 21:25
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I've heard the same thing in a number of places and accepted it as gospel. But I just did the calculation for a PA-28 with a wingspan of 10.66 meters, doing a standard rate turn at 100 knots. I found that the radius of such a turn is 955 meters, so the speed difference between the wingtips is just a hair over 1.1%. Lift is not generated by the wingtips alone but by the whole wing so measured over the whole wing the speed difference, and therefore the lift difference, is more like 0.5%. I can't believe this is really responsible for the steepening of the turn.
That's part of the equation, but the velocity is only part. While there may not be a huge airspeed difference between the outer wingtip and inner wingtip in a turn, there's a difference in the angle of attack. Additionally, the difference can be magnified in a descending or ascending turn, and is further altered when the airplane is not flown in a "coordinated" ball-in-the-center condition.
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Old 15th Nov 2008, 22:41
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While there may not be a huge airspeed difference between the outer wingtip and inner wingtip in a turn, there's a difference in the angle of attack.
I can accept that the AoA is modified in a climb or descent -- with all else equal, descending turns are more stable than climbing turns. Why would there be a difference in level flight?
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Old 15th Nov 2008, 23:20
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... there's a difference in the angle of attack
SN3Guppy, could you explain ? This is something I've never understood !

I've done the same calculations re airspeed difference between the wings and concluded that flies, dirt, rivets, etc. would mean more than that.

The books normally state angle of attack is diffeent, but don't explain !
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Old 16th Nov 2008, 07:00
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I've done the same calculations re airspeed difference between the wings and concluded that flies, dirt, rivets, etc. would mean more than that.

The books normally state angle of attack is diffeent, but don't explain !
Angle of Attack varies as a vector with speed, and also with the upwash induced by the wing. Upwash is in turn variable with the wing configuration, airflow velocity over the wing, and angle of attack. Increase angle of attack, increase downwash behind the wing and upwash ahead of the wing, and angle of attack increases beyond the simple angle made by the free airstream and the wing chord line...local angle of attack is greater because of upwash.

Increase the airspeed over a wing or section of wing, increase lift, increase drag, and you also experience a change in AoA. Change the configuration of the wing, such as lowering an aileron, and with the mean aerodynamic chord change and effective camber change, you've got a change in upwash and downwash, as well as AoA.

Additionally, as the aircraft is rolled into our out of a turn, changes in local AoA vary with the rising or descending wing, and in a turn when some degree of spanwise flow occurs, changes in AoA follow, along with changes in the lift component of any given wing cross section at any given time.

A simple example of a change in AoA, and lift and drag can be seen by lowering an aileron. As the aileron lowers to raise the wing, effective camber is increased, drag increases and rudder may be required against the drag created by the aileron. This drag, adverse yaw, is part of the reason that rudder into the turn may be required when rolling into the turn. As lift is increased on the wing, drag is increased, and the wing is experiencing an increased AoA. This is one example of one reason AoA may be locally increased during a turn, or turn entry, or sustained in a turn...depending on the design and requirements of the specific airplane or wing in question.

Remember that the increase or decrease in lift and drag isn't linear, and varies with the wing planform...what one airplane sees as a big change under a given set of conditions (airspeed and bank) another airplane will see as a little change. Add numerous other variables ranging from airfoil to control positioning to dihedral to sweep, wing planform, and even center of gravity, etc...numerous factors come into play which affect the stability and habits of the airframe.

The following article contains a couple of tables and graphs using several different wing planforms which might give a little insight. You can see that the drag coefficients go both up and down, depending on what type of wing is in use, of several demonstrated in the computer modeling.

Drag in Circling Flight

In a climbing or descending turn, the differences in AoA and the lift produced are a little more pronounced, and may be a little more noticable. One may not notice it in level flight, or the specific airplane may not require aileron into or against the bank...or it may only be noticable at certain degrees of bank, and not others. During a climbing turn, the outer wing tends to have a higher AoA, and during a descending turn it's the opposite.

-- with all else equal, descending turns are more stable than climbing turns.
They're not, though it may feel that way.
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Old 16th Nov 2008, 08:24
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Don't blame the rudder for that.

Turns steepen because the outside (top) wing travels faster than the inside (bottom) wing.
That is true but rudder has a much greater effect. Try it on Flight Sim. Yes I know it's not 100% aerodynamically correct but it's pretty good on steep turns (I'm using the Cessna 152 from the Flying Club package).

Keeping an eye on the ball is obviously the way to go but knowing what to expect in a manoeuvre that has already a high workload is a great help, in my opinion.

Some interesting contributions here though. Thanks!
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Old 16th Nov 2008, 08:44
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David,

I'd caution you regarding microsoft flight simulator for learning about flying. While it can present some general benefits (push forward to go down, pull back to go up), it's not really a tool for better understanding how your airplane flies. Particularly where aerodynamics are involved. Simulators, even games like microsoft, are best used when experience in the airplane is transferred to the tool, rather than the simulation to the actual airplane.

Chuck was quite correct in his assessment earlier. We can talk about the finer points of why this or why that all we like, but the bottom line, and all you REALLY need to know is that the rudder is there to be used for whatever input is required to keep the ball in the center.

A steep turn is a confidence maneuver...it's something that as an instructor we have a student do to build confidence. It's not a high work load maneuver, and it's not a hard maneuver...which is why it's a confidence maneuver. It's a simple task which can be fairly easily mastered, which gives a student a sense of accomplishment prior to moving on to another task. It's also a useful demonstration of stability. In an airplane such as the Cessna 152, you should be able to set up the airplane in a steep turn, trim it off, and let it fly the steep turn hands-off.
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Old 16th Nov 2008, 09:54
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Angle of Attack varies as a vector with speed,
Not sure I understand what you mean by that. An angle is an angle, isn't it?

and also with the upwash induced by the wing. Upwash is in turn variable with the wing configuration, airflow velocity over the wing, and angle of attack. Increase angle of attack, increase downwash behind the wing and upwash ahead of the wing, and angle of attack increases beyond the simple angle made by the free airstream and the wing chord line...local angle of attack is greater because of upwash.
OK, so the changes you're talking about are in what you term "local" angle of attack, which includes the induced flow from the effects of the finite wing. So for the same downwash velocity, the induced AoA at the outer tip is less than at the inner tip because the forward velocity is greater? I can buy that, though I don't think that's a conventional use of "angle of attack", which is the angle to the freestream (before the aerofoil has had a chance to perturb it).

During a climbing turn, the outer wing tends to have a higher AoA, and during a descending turn it's the opposite.
Wouldn't you regard that as the climbing turn being "less stable"? A higher AoA at the outer wing tends to roll the aircraft into the turn. Conversely in a descending turn the higher AoA at the inner wing tends to roll it out of the turn. The turn may still be unstable because the total lift from the outer wing may still be higher, but it's more stable than the climbing case.
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Old 16th Nov 2008, 10:03
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That is true but rudder has a much greater effect.
But what exactly do you mean by that? That if you allow the aircraft to slip out of the turn by failing to keep the ball in the middle, the aircraft also tends to roll out of the turn? Yes, but that's the effect of the lateral stability (provided by dihedral or other stabilising effects) -- the aircraft wants to roll out of a slip. What the rudder is doing is eliminating the sideslip. That sideslip can indeed have a substantial impact about the roll axis.
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Old 16th Nov 2008, 10:43
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But what exactly do you mean by that?
What I meant was if you continue to apply the same amount of rudder as when you rolled into the turn. That's all I'm getting at. I was previously keeping the same amount of rudder throughout the turn, neglecting to watch the ball because I didn't expect it to change (and had been never pointed out in training). As a number of posts here confirm this was incorrect. I just wonder how many low hour PPLs like me realise this?

I thought someone couldn't resist the chance to pontify on the misuse of Flight Sim! Yes I know all that. My point was that it's easily demonstrated in Flight Sim - I didn't "discover" it in Flight Sim. (doh)

I know those of you who have millions of hours can trim off a steep turn and show off going round in tight circles all day but for the rest of us it's still a challenge to keep absolutely level even though we have done it many times. Too much rudder when little or none is needed makes the exercise much more difficult and your confidence drops (as does the aircraft).

Also too much rudder means too much back pressure to compensate with accompanying high angle of attack. Little bit dangerous maybe?

I still think its a good thing to keep in mind and if you guys think its just foolishness I'll just keep it to myself thank you.

I think most of the posters here have missed the point entirely. But never mind...

Last edited by DavidHoul52; 16th Nov 2008 at 10:54.
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Old 16th Nov 2008, 10:45
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"Blimey, this is one way of complicating one of the simplest things"

----It's not simple.


"I couldn't care what a book says. Chuck has it nailed."

---You should ...and he doesn't.

"Don't overcomplicate things, unless you are designing the aircraft from scratch, just do whatever you need to do to make the a/c respond how you want it to."

---They are complicated. How do you know what it is you need to "do" to make the aircraft respond the way you want? Intuition ?...say along the lines of slow speed, ground coming up, pull harder on the stick...type intuition.

"Rocket science it ain't."

---Science yes ...rockets...correct at no stage were rockets mentioned.

TIM
Getting an aircraft into, maintaining and getting out of a balanced turn is easy. If it is a problem, then someone has poor technique and was taught badly and/or has lazy feet.

When I'm flying I don't think about what the a/c is doing, I just move my hands and feet and magically the machine responds exactly how I want it to. That doesn't change whether I'm flying a helicopter, medium jet, aerobatic taildragger or simple spamcan.

I'm not always perfect, but going into enormous depth about the interrelation between controls is something I understand, but don't think about when I'm flying. I've been teaching it for years, but when flying things like "how much rudder do I need" should be automatic. I don't spend my life staring at the balance ball, after a while my patented inbuilt bumometer lets me know if the thing is in balance. Admittedly it can get confused when I've had a real hamfisted twonk whilst trying to teach them aeros, but 99.99% of the time it is fine.

Aircraft are simple. Pull back houses get smaller. Push forward they get bigger. If you push forward or backwards for long enough they get bigger and smaller of their own accord.....................

Making things overly complex for no real reason is a disease of many PPL's and inexperienced pilots. Don't make life difficult for yourself. Get up there and have fun, you'll soon find that discussions like this seem trivial.
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Old 16th Nov 2008, 11:01
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I'm not always perfect, but going into enormous depth about the interrelation between controls is something I understand, but don't think about when I'm flying.
Exactly.

But your students might want to know why the ball is on the right when they are in a steep turn to the left, especially when they have been told to give left rudder when in a turn. Understanding that the rudder and aerilons go together is helpful I feel. No airelons then no need for rudder (in a turn that is)

To be honest, my FI didn't make much fuss of rudder either other than to occasionally point out that the aircraft was out of balance. And you are right - one feels it without even looking at the ball.
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Old 16th Nov 2008, 11:22
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Student is asked to make a steep level turn. Rolls into it but doesn't input quite enough backstick. Makes a quick glance at the balance ball sees it has dropped into the turn slightly and immediately inputs rudder to remedy it. Congratulations your in a balanced spiral dive. If all the pilot has been taught is "Stamp on the ball" then he's not going to be aware of other possible influences.

I agree wholeheartedly that things can be made overcomplicated and as a result confused. The control of the aircraft has to be almost automatic; but that automatism has to be grounded in good basic knowledge. However things can be dumbed down too much just leading to dumb pilots. I suppose it is all a matter of balance.

Getting the balance right; feeding ideas at a sensible rate; tailoring the instruction the the individual taking into account their interests and background. Like all the good things in life it's.. part art.. part science.

When I was younger I used to subscribe to the view; "those who can do those who can't teach". Not now.. a good teacher is priceless.

TIM
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Old 16th Nov 2008, 11:37
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Another useful point made in L's book about steep turns is that if you haven't put in enough back pressure it's quicker and easier to regain pitch by rolling a couple of degrees out of the turn, then back pressure and then back to the desired angle.

Off thread - I see that the forum is now titled "The sheer pleasure of flight" which is a nice change.
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