Unicorn Blogs

Quick Search Posts
Quick Browse Posts

A Margin for Error

Posted by UniBoffin at 20:00 on 26th November 2007 in UniBlog

A Margin for Error

First of all, thanks to everyone who’s posted comments to my first two uniBlogs – it’s nice to know someone’s out there! As for answers to your questions, some will be made apparent soon when uniLab goes live and Sigma darts hit the shops - hopefully those of you who have been waiting won’t be disappointed! An apology to Chris, though - I’m afraid I won’t be posting the full math (or maths, as we Brits say) behind them – I fear I’d wave goodbye to a large proportion of my audience if I start putting differential equations in these ramblings!

What I shall be trying to do instead, over a sort of mini-college-course of uniBlogs, is to explain in an understandable manner the key dart-related aspects of the complex subject of flight dynamics. Then Warren and Eric will get the full aerodynamic facts affecting the short dart/long dart choice they discussed in their comments and see why the matter is not quite as simple as it might seem. So, guys, you’ll just have to keep reading to find out which might fly straighter!

OK, on to business. Last time I explained that the flights of a dart stabilise it (meaning that it flies point-forward) because the aerodynamic lift on them acts behind the dart’s balance point - its Centre of Gravity or CG. What I didn’t mention was that smaller amounts of lift are also generated by other parts of the dart, particularly the barrel nose. The lift from this acts in front of the CG, thus tending to de-stabilise it a little.

One way to estimate the stability of a particular dart is to add up the lift components from the barrel, shaft and flights to get the total lift. The location of these lift components can then be averaged out (“taking moments” is the correct term, as Chris and other technically-minded ones amongst you may already know) to give a point along the axis of the dart where the total lift can be regarded as acting. This point is called the Centre of Pressure, or “CP” and a useful measure of the stability of the dart is the distance of the CP behind the CG. This is known as the “static margin”.

So much for theory. Now let’s see how understanding about the static margin can help astute dart players like Eric and Warren in real life.

Let’s say my imaginary pal Nigel the Novice wants to buy his first set of Unicorn steel tip darts. Now Nigel knows a bit about aerodynamics and realises he needs very stable darts because his throw is a bit wayward and his darts tend to hit the board at a variety of angles. This reduces his already dubious accuracy and also increases the chance of a previous dart blocking the target bed. Very stable darts – which means ones with a large static margin – will help him by flying straighter.

Nigel decides that the best way to ensure a large static margin is to buy “bomb” shaped barrels which have the weight - and thus the CG - biased toward the nose. A good example of this type of barrel is the Unicorn Dum Dum range, but Nigel decides he prefers the slightly more conventional Peter Manley Maestro Tungsten.

Unfortunately, these barrels do have a slight downside for Nigel – Peter Manley definitely isn’t a novice! The darts that bear his name thus don’t need to come with large “Plus” or “Big Wing” shape flights, but have the smaller, oval “Xtra” type, which produce less lift. Also, the supplied Maestro shafts are aluminium and the CG of the whole dart is hence a bit further back than if they were plastic. These factors reduce the static margin - no problem for Peter Manley, but maybe one for Nigel. But Nigel has the solution. He purchases a set of Big Wing flights and XL+ plastic shafts and customises the darts to be more stable.

As it happens, Nigel’s made a good choice. But a little knowledge is a dangerous thing and he has been a bit lucky. To find out why, join me next time!

There are 12 comments to this post

Posted by Chris at 14:55 on 27th November 2007

If I recall correctly, the Center of Pressure can be mechanically determined by tracing the shape of the
dart on a sheet of paper, cutting it out and then hanging it by a piece of string. Where it balances is the
center of pressure. Does the center of pressure vary as the dart progresses through its flight path?

Posted by Warren Ackary at 20:14 on 28th November 2007

I am still dealing with the balance, I always thought the CP was also the balance (even where one grips the dart!). Back to setup.. I have my own design custom made darts, front loaded & 44mm long (similar to Barry Juannet Dart) but suited to me. I found them to be nose heavy thinking the balance was more forward, I put a lon set of needle points in the front (making them dip more) I took the gripper stem off and went to a Fiesta Stem to get the weight for more balance at the back. No good, so I put a set of short Nylon Shafts on and inserted a set of Big Wing flights.
With this setup the darts do not dip and travel to the target, I beleive the short stems (which are wider-OD than Gripper)& Big Wing flights have evened the dart up. So it seems a short compact setup (as above)tends to be the best for me ATM.
Does the CP stay the say when released and going through to the board? I looked at my dart leaving my hand to the board on a video and it loks like I could clean drains out with the darts wobbling etc through the air!

Posted by Troy at 21:49 on 28th November 2007

My experience has been that darts with large static margins tend to veer farther off-target when released not pointing precisely down their flight path. The longer shafts and bigger flights steer the dart off its original path. Nearly every beginning player I''ve told to use shorter shafts and smaller flights has immediately improved their game. A wobble in the dart as it travels through the air is not a problem as long as it''s consistent. Look at Phil Taylor''s flying darts!
Obviously, none of us are Phil Taylor, but my point is that high dart stability can be detrimental to players who don''t release the dart perfectly every time. It is important to keep the misses close to the target - hitting the single in the number of the triple you aimed at is usually better than hitting the adjacent number.
Also, I recommend holding the dart slight behind or slightly ahead of the cg - it promotes feel because you can better sense when the accelerating dart is not pointed down its path.
Your thoughts?

Posted by Warren Ackary at 11:50 on 29th November 2007

I thought the CG & CP where the same? The center of gravity being where the gravitational pull is holding the most pressure, am I correct?

Posted by Red at 17:42 on 30th November 2007

Ok. What Chris is talking about is finding the centre of gravity however they method that Chris suggests would only find the c of g of the barrel and not of the dart. If you traced the whole dart and tried to find the c of g in this manner you would not get a true result as this method only works if the object is of uniform density. With a dart this is not the case the point barrel stem and flight are made of different materials with different densities. A change in any of these components would change the c of g of the dart. For instance if you imagine that the dart is balanced on a knife edge when fitted with short gripper stems and a slim (i.e. like the ones that Phil Taylor favours) flight then changed the stems for long aluminium ones and the flights for big wings then it would be fairly obvious that the dart would not now balance in the same place, it would fall flight end first off of our theoretical knife edge.

The centre of pressure and the c of g are rarely the same even in aircraft.

I will stand to be corrected on this but I do not believe you can have such a thing as a ''long centre of gravity'' as the c of g is a point, the only point at which in this case your dart will balance on the theoretical knife edge.

Posted by Warren Ackary at 06:45 on 3rd December 2007

Reading Reds comment... I am be starting to think that the CoG could really be called "the center of balance" as the balance would "shift" when changing stems/flights etc?

Posted by Chris at 12:57 on 3rd December 2007

Hi Red. I only said that the center of pressure could be found using the method I suggested, NOT the center of gravity.

Posted by Eric Vanwynsberghe at 04:30 on 5th December 2007

Well thanks Boffin and to the rest of you clearing some of my problems up. But I still have some problems left. I''m 6''5" and when I''m shooting, there is min loft on my darts, unlike someone that is 6'' and under. Another problem I have is that my hands are farely big and I have had problems before throwing the short barrel darts, the ones I would like to be throwing. I went and purchased the Unicorn Stretch tungsten darts which are longer then usual and they are a bit wobbly at times. I''ve been trying to practice with shorter barrel darts but can''t seem to get the same control as with the darts I purchased. Does anyone have any suggestions on how to maybe get my darts ( the stretch darts ) to fly a little bit more accurate. Also, with work and lots of practice, my fingertips get really smooth and my grip is failing sometimes. My darts fly right out of my hand, any suggetsions?

Posted by Warren Ackary at 21:00 on 6th December 2007

Hi Erik
Whats the current setup of your darts with the stretch barrel? If you know the barrel model and the shaft and flights, maybe it would make it easier to help and optimise your dart, hope to hear back from you :)

Posted by Red at 12:46 on 7th December 2007

Sorry Chris but what I mean is that you cannot determine the centre of pressure by the outline method, If all of the components in the dart were of uniform density then you could find the centre of gravity. However it should be fairly obvious that this method cannot give the centre of pressure.

Imagine if you will that we have two darts, one is a torpedo shape (like a Peter Manly dart [in fact getting on quite a bit toward an airofoil shape]) and one is a rather odd dart with a very big wide flat nose a very thin centre and a normal sized shank where the shaft screws in and that these darts have identical flights and shafts (really wish I could post diagrams at this point). It is easy to imagine that you can have two darts that though very different in shape and therefore in aerodynamic properties have the same centre of gravity when determined by the outline method.

To further muddy the waters and give you something else to think about, lift is only generated when the dart is in motion. i.e. flying through the air on its way to the board. The lift produced by any of the components in a dart will vary dependent upon, velocity and angle of incidence (leaving aside for the moment factors such as surface roughness and grooves, knurling etc.). Depending on the angle of incidence at a given velocity the dart may be producing lift in any plane, i.e. up down side to side or any combination as the dart flies to the board (very few people throw a dart perfectly straight), may produce more lift as the dart pitches or yaws more off of direction of travel or even pitch so much that airflow breaks away from the lifting surface (the stall point) and produces significant and unpredictable turbulence.

So to determine the centre of pressure by calculation the dart must be assumed to be in motion at a given velocity and at a given angle of incidence to get the centre of pressure at any given instant. No add to that the fact that the dart is in all probability rotating as well - and that therefore the flight will not be producing lift in a consistent manner (although - further complication to think about again [sorry] the fact that the flight has four lifting surfaces at 90degrees to each other means that it will keep a reasonable mean of lifting surface in any plane at any one instant).

Posted by Damon at 17:45 on 30th December 2007

Hi UniBoffin
Can you tell me what the exact type,shaft,weight,etc dart''s that Phil Taylor uses at the moment?

Posted by Èâàíî Ôðàíêîâñê at 20:07 on 5th November 2008

Good Post

Leave a comment
Please leave your details and message below.
Name 

Email (this will not be published) 

Message