Accuracy of whiz wheel
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Accuracy of whiz wheel
I'm practicing using the whiz wheel - I've got an AFE 'ARC 1' Flight Computer. It doesn't seem very accurate - I often find that answers are astray by 1 degree or 1 knot. I know that is irrelevant in the real world but it seems that accuracy is essential for the PPL ground exams.
On my whiz wheel, the slide has some lateral movement, and I guess there is inaccuracy in the printing of the card and scale as well. And, some of the fine scales aren't exactly easy on the eye to read either.
So, my question is this: will the inaccuracy be enough to cause me grief in the ground exam? Is there a more accurate make of whiz wheel ie something better engineered than the one I have.
On my whiz wheel, the slide has some lateral movement, and I guess there is inaccuracy in the printing of the card and scale as well. And, some of the fine scales aren't exactly easy on the eye to read either.
So, my question is this: will the inaccuracy be enough to cause me grief in the ground exam? Is there a more accurate make of whiz wheel ie something better engineered than the one I have.
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Assuming you are talking about wind triangle calculations, note that these involve iteration. I don't think it is possible to solve the wind triangle geometrically (to get the heading to fly and the GS) in just one step. Sure you can get close enough in just one step if the wind is say only 1/10 of your TAS but a lot of exam questions use stronger winds and you need to do the second step to get the error below 1 degree.
(Obviously the winds aloft forecast is too far off for this to mean anything, but that's not the point )
The other side of the slide rule is just a standard slide rule, bent around in a circle. It is a generic multiply/divide device, nothing to do with aviation except that the aviation slide rules have some conversion ratios marked for convenience. It should be accurate to nearly 3 significant digits if you are really careful and have good eyes.
I don't know how old you are but if you are in your 40s or older it is worth getting some cheap supermarket +2 reading glasses for the exam. I don't recall the PPL exams but in the IR exams they ban magnifiers so powerful reading glasses are the way to go.
(Obviously the winds aloft forecast is too far off for this to mean anything, but that's not the point )
The other side of the slide rule is just a standard slide rule, bent around in a circle. It is a generic multiply/divide device, nothing to do with aviation except that the aviation slide rules have some conversion ratios marked for convenience. It should be accurate to nearly 3 significant digits if you are really careful and have good eyes.
I don't know how old you are but if you are in your 40s or older it is worth getting some cheap supermarket +2 reading glasses for the exam. I don't recall the PPL exams but in the IR exams they ban magnifiers so powerful reading glasses are the way to go.
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I don't think it is possible to solve the wind triangle geometrically in just one step.
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I often find that answers are astray by 1 degree or 1 knot. I know that is irrelevant in the real world but it seems that accuracy is essential for the PPL ground exams.
It's perfectly accurate enough for actual flying, but you can lose exam questions due to reading one degree or one knot one side or the other. Or measuring one degree off with the protractor, or drawing a line one degree out, or whatever.
That's the way the world is I'm afraid. The foolproof answer is to aim for 100% in the exam, there aren't enough of these trick questions to fail you from that position.
my first CRP-1 was visibly "off" I noticed not long after I bought it. When rotating the inner it could be seen running eccentric against the outer scale. Just as a demo I figured out what position it was worst in and set it to multiply by an obvious whole number. At 3 times that number (almost directly opposite the index) the answer was not an exact whole number????? Clearly the rivet in the centre wasn't. I took it back to the supplier and they swapped it.
When in the exam situation it is easy enough to mis-use without having the accuracy of the unit playing on your mind. Take it back to where you bought it from.
Rans6....
When in the exam situation it is easy enough to mis-use without having the accuracy of the unit playing on your mind. Take it back to where you bought it from.
Rans6....
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Isn't there a better enginered wheel?
I recall the old engineers' slide rules were quality tools with accurate scales. Isn't there any equivalent for the whiz wheel? I see Jep make a metal one - is that likely to be better?
Hellishly expensive, but it does work very well.
That said, I have to confess, I use it mostly for engineering and flight planning calculations at work. I have a Pooleys CRP-1W in my flight bag.
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"I often find that answers are astray by 1 degree or 1 knot. I know that is irrelevant in the real world but it seems that accuracy is essential for the PPL ground exams"
For my exam I think there was more leeway than that. After all the wind direction and speed aloft is not accurate to that degree is it? If it's multiple choice I expect you will see the answers differing by more than 1knot/1 degree. I suggest you strive for reasonable accuracy but don't sweat over it. do lots of practice calcs and you will be fine.
Cheers
For my exam I think there was more leeway than that. After all the wind direction and speed aloft is not accurate to that degree is it? If it's multiple choice I expect you will see the answers differing by more than 1knot/1 degree. I suggest you strive for reasonable accuracy but don't sweat over it. do lots of practice calcs and you will be fine.
Cheers
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I recall the old engineers' slide rules were quality tools with accurate scales. Isn't there any equivalent for the whiz wheel? I see Jep make a metal one - is that likely to be better?
The old straight slide rules could be read to 3 sig figures, but one could also use them with long multiplication and especially long division where they could be used to instantly give the next digit. I used it at school in the 1960s; a super tool. But these old tools have their place now: in a museum
After all the wind direction and speed aloft is not accurate to that degree is it?
If it's multiple choice I expect you will see the answers differing by more than 1knot/1 degree.
I do recall the mark-up method, Deeday, but was never taught it in the PPL. I wonder if it shifts the issue elsewhere. Even the Jepp instructions for the CR-5 show an iterative step. Actually the CR-3/CR-5 is clever in the way it does it, without a sliding portion.
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Originally Posted by Deesday
Originally Posted by IO540
I don't think it is possible to solve the wind triangle geometrically in just one step.
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For my exam I think there was more leeway than that. After all the wind direction and speed aloft is not accurate to that degree is it? If it's multiple choice I expect you will see the answers differing by more than 1knot/1 degree.
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For Wind Correction Angle, The clock code and Max drift is almost good enough for one degree accuracy, though it fails for strong winds around 60 degrees off track.
If you use a scientific calculator and use the sin function instead of the clock code you can get one degree accuracy with this formula:
wca = 60 x wf x sin(wmt)
wca is Wind Correction Angle.
wf is the fraction: wind speed / true air speed
wmt is wind bearing minus track.
I checked it with a spreadsheet up to wf of 0.6, ie wind speed was 60% of airspeed.
Once wca is over 36 degrees, you have to use arcsin instead of multiplying by 60, ie use the actual formula which is:
wca = arcsin( wf x sin(wmt) )
arcsin on most calculators is shift-sin, looking a bit like sin-1.
The bog-standard Casio fx 85 in maths mode makes entering the formulae much easier than writing them out in text. And you are allowed them in CAA exams.
If you use a scientific calculator and use the sin function instead of the clock code you can get one degree accuracy with this formula:
wca = 60 x wf x sin(wmt)
wca is Wind Correction Angle.
wf is the fraction: wind speed / true air speed
wmt is wind bearing minus track.
I checked it with a spreadsheet up to wf of 0.6, ie wind speed was 60% of airspeed.
Once wca is over 36 degrees, you have to use arcsin instead of multiplying by 60, ie use the actual formula which is:
wca = arcsin( wf x sin(wmt) )
arcsin on most calculators is shift-sin, looking a bit like sin-1.
The bog-standard Casio fx 85 in maths mode makes entering the formulae much easier than writing them out in text. And you are allowed them in CAA exams.
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The problem is that JAA/EASA most probably uses electronic calculators such as ASA CX-2 to calculate possible answers in the question bank. Therefor, they can afford to put possible answers for let's say, calculating unknown wind:
a) 050°/10 kts
b) 049°/11 kts
c) 051°/9 kts
c) 048°/10 kts
Anyone that has ever done a cross-country flight would know that this kind of accuracy isn't really required, since nobody can't fly (VFR) and maintaining heading accurate to a half degree or similar. But of course, JAA/EASA doesn't care about applying theoretical knowledge into practical flying...
But to make things even more fun (when is dealing with EASA anything else but extreme fun after all? ), the ASA CX-2 (or similar electronic computers) doesn't seem to be using accurate trigonometric functions. For example, if you calculate most questions in JAA ATPL with regular calculator (using Matlab's precision doesn't help either), you get the wrong results, since they are probably too precise - I assume that CX-2 rounds up result after each step of calculation - which is not the way how to calculate something to a certain degree of accuracy.
So to sum up: buy/borrow an electronic computer for the exams, but for actual flying, rules of thumb are usually more than sufficient for accurate navigation.
a) 050°/10 kts
b) 049°/11 kts
c) 051°/9 kts
c) 048°/10 kts
Anyone that has ever done a cross-country flight would know that this kind of accuracy isn't really required, since nobody can't fly (VFR) and maintaining heading accurate to a half degree or similar. But of course, JAA/EASA doesn't care about applying theoretical knowledge into practical flying...
But to make things even more fun (when is dealing with EASA anything else but extreme fun after all? ), the ASA CX-2 (or similar electronic computers) doesn't seem to be using accurate trigonometric functions. For example, if you calculate most questions in JAA ATPL with regular calculator (using Matlab's precision doesn't help either), you get the wrong results, since they are probably too precise - I assume that CX-2 rounds up result after each step of calculation - which is not the way how to calculate something to a certain degree of accuracy.
So to sum up: buy/borrow an electronic computer for the exams, but for actual flying, rules of thumb are usually more than sufficient for accurate navigation.
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Most long distance flying is done using GPS anyway, or some other form of radio nav, so you get continuous lateral guidance. I have never once been interested in the exact E6B calculation, except as a curiosity, and even then one needs to know the heading pretty accurately (relative to the GPS track) and my compass/HSI have never been that accurate. A compass error of say 2 degrees really throws off the wind calculation.
Most long distance flying is done using GPS anyway, or some other form of radio nav, so you get continuous lateral guidance. I have never once been interested in the exact E6B calculation, except as a curiosity, and even then one needs to know the heading pretty accurately (relative to the GPS track) and my compass/HSI have never been that accurate. A compass error of say 2 degrees really throws off the wind calculation.
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I did the PPL-Nav two years ago and the IMCR one week ago, using the AFE ARC1, and I didn't get any of the flight computer related questions wrong or ended up between two answers. Maybe the papers I did was different from others or my plastic AFE had an exeptionally good build quality (it's now dumped in the bottom of a drawer, never to be used again).
I think the key to success is to slow down and spend extra time on the questions where you need to involve the whizz wheel. I used the wind-down method (don't forget the iterations nedeed) and made the "dot" with a white-board marker. If you are not happy with the "dot" it's easy to wipe it of and re-apply. Another source of error are track measurement on the map. To reduce the errors I used the ASA-CP-R-ROTATING-AZIMUTH-PLOTTER. It's very good if you want to be accurate, but be careful to not use the statue miles scales printed on one of the sides.
I think the key to success is to slow down and spend extra time on the questions where you need to involve the whizz wheel. I used the wind-down method (don't forget the iterations nedeed) and made the "dot" with a white-board marker. If you are not happy with the "dot" it's easy to wipe it of and re-apply. Another source of error are track measurement on the map. To reduce the errors I used the ASA-CP-R-ROTATING-AZIMUTH-PLOTTER. It's very good if you want to be accurate, but be careful to not use the statue miles scales printed on one of the sides.
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(don't forget the iterations nedeed)
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In my experience the iterations are not actually needed for practical flying, because doing the iterations properly only makes a significant difference (ie one that would actually cause me to fly differently) if there is such a howling wind that I would never have taken off in the first place.
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nor useful to him until after passing his PPL when he's actually allowed to use advanced devices like VOR or ADF for anything other than diversions (and GPS at-all!).
The myth that GPS cannot be touched until one has the PPL in the bag is an enduring one, believed even by most instructors.
The reason I mention GPS in these threads is because a lot of pilots chuck in flying more or less right away. Of the 20 or so I trained with, all but 1 or 2 chucked it in within a few months. In many cases they give up because they have no confidence to go anywhere.
I believe it is worthwhile mentioning that there is a better method of navigation than the stupid pointless crap error-prone tools taught in the PPL; this gives the student something to look forward to. I continued my PPL because I already knew there were better ways.
Currently I am grinding through Met and Air Law (JAA IR). Never seen so much irrelevant bull***t. Would I be doing this if I thought it was actually needed to fly? No, because it will be forgotten the day after the exam and aviation would end tomorrow if all pilots had to know this stuff. It is just an ego trip for exam writers - just like the slide rule and the calculator ban in the PPL exams. I am doing it as an EASA insurance policy. I already have an IR and have no problem using it.