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Costyn

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Forward drive in unpowered flight comes from a forward-angled lift vector. Why do you think returning your lift vector to near vertical will provide a boost in forward speed? In your example, what force is causing your forward speed to increase during plane out?
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In your example, what force is causing your forward speed to increase during plane out?



Lift. Although the horizontal component of total lift will be smaller, the increased AOA during the plane out, combined with your higher airspeed from the steeper dive will cause the total lift you are generating to massively increase. So although proportionally the horizontal component is smaller, in actual terms horizontal force has increased.

Again, when I say plane out I don't mean getting totally horizontal, and this increase in horizontal speed will be temporary.
Do you want to have an ideagasm?

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Shut up you two :P;):D.

Plane out VKB style....the track is still very steep just not headdown...the initial speed will help the end result because you have entered your 90 sec time slice at a higher velocity( hopefully).

Back to the issue of dive...

I mean for the prevailing conditions if horizontal speed is less than vertical speed then it is a dive...but I do see your point about just maximizing horizontal speed because glide is not a factor in a race that is limited by time. Which probably means I misinterpreted what Costyn said.

Kris.

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Shut up you two :P;):D.



But it's so fun!

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Plane out VKB style....the track is still very steep just not headdown...the initial speed will help the end result because you have entered your 90 sec time slice at a higher velocity( hopefully).



I think we're all on the same page here. :)
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I mean for the prevailing conditions if horizontal speed is less than vertical speed then it is a dive...but I do see your point about just maximizing horizontal speed because glide is not a factor in a race that is limited by time.



Exactly, which I'm guessing is why Costyn raised the point in the first place... the current rules potentially encourage dirty wingsuit flight. :D
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I think we're all right here, we just need to put the pieces together. ;)

You do get higher horizontal speed when you plane out from head down (or very steep dive). When you dive at constant speed, the total force the air exerts on your body is vertical and equal to your weight. The components of this force perpendicular and parallel to your trajectory are called lift and drag (there are no two actual separate forces). When you plane out you change the angle of attack and other aerodynamic properties of your body in such a way that the total force the air exerts on your body increases and is inclined forward, accelerating your body horizontally.

However, if you plane out as typically done with wingsuit - i.e. you try to level off as much as possible - your horizontal speed will quickly bleed and you go back to your regular forward speed. You need to maintain the high speed over the period of 90 seconds somehow.

I believe the best distance in fixed period of time can be achieved not with wingsuit, but with leg wing, because it gives you so much thrust. I recorded sustained horizontal speed of 140mph in Prodigy pants without even trying to max it. Diving with Twin Otter in Phantom, I found that flying just the leg wing allows me to hold the race for longer time. 140mph in 90s gives you 3.5 miles. In 60mph tailwind you'll get 5 miles. Larger (but not too large) wing with smooth & tight legs will give even higher horizontal speed.

To achieve maximum sustained horizontal speed, think thrust, not lift. Leg wing is the way to go.

Yuri
Android+Wear/iOS/Windows apps:
L/D Vario, Smart Altimeter, Rockdrop Pro, Wingsuit FAP
iOS only: L/D Magic
Windows only: WS Studio

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I'm still going to disagree with this, I think a plane out from a very high speed dive will result in (temporary) horizontal speeds greater than those that can be sustained in a less steep dive.



Notice that you can not collect so much speed that can support your horizontal flight over 90 seconds in higher agnle of attach than agle of max-out.

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Notice that you can not collect so much speed that can support your horizontal flight over 90 seconds in higher agnle of attach than agle of max-out.



No, but with 15 seconds to dive before the timing starts it may be possible to boost your speed at the beginning of the race.
Do you want to have an ideagasm?

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No, but with 15 seconds to dive before the timing starts it may be possible to boost your speed at the beginning of the race.



Yes, this wil certainly help, but wouldn't it bleed off somewhat quickly? I can't see the increased forward speed having effect for more than 10 or so seconds?

I agree with Yuri that a large leg wing will give you more forward speed, but wouldn't some arm wings then give you the opportunity to make ensure you actually make the 90 seconds? There's not that many people who can make a 105 second track from 13500ft, are there? (considering just using the tracking pants Yuri was talking about).

Also, if you just use a big leg wing, you'll tip over forwards, sending you more in a head down trajectory. Similar to what happens when backflying, opening your leg wing without having your arm wings fully stretched out (or so it seems to happen with me, at any rate).
Costyn van Dongen - http://www.flylikebrick.com/ - World Wide Wingsuit News

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As some people will probably have noticed, the Wingsuit ranking is now also available on TrackingDerby.com. And Claude did change the time to 90 seconds, making it more accessible. A side effect is of course that someone getting more altitude can now dive head-low for 90 seconds and probably cover more distance, but we've discussed this topic to death already. :)



Ok, silly to be replying to myself, but I forgot to make a point in this post.

If the distance calculation was done on the basis of an altitude range, there would be no discussion. If you measure the horizontal distance travelled between 10000 to 4000 feet the person with the best glide ratio wins, no matter how long they take between those two altitudes.

Of course there is still the issue of tailwind, but as Claude has pointed out, you should only really be comparing people that jump at the same event with the same conditions.
Costyn van Dongen - http://www.flylikebrick.com/ - World Wide Wingsuit News

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Yes, this wil certainly help, but wouldn't it bleed off somewhat quickly? I can't see the increased forward speed having effect for more than 10 or so seconds?



Umm, I dunno. I was really just arguing a technical point with Matt:P.
Do you want to have an ideagasm?

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To achieve maximum sustained horizontal speed, think thrust, not lift. Leg wing is the way to go.

Yuri



I understand you are talking about maximum sustained horizontal speed but wanted to point out the following.

In the end the overall force vector's angle to the horizon is what results in speed(as Mr 111 pointed out earlier). The arm wings add to this forward force and thus speed.

Maintaining the angle is easier if the arm wings are collapsed but the angle can be maintained without collapsing the arm wings at all.

The way I see it
wing == wing ....round of applause please :$...
and more force results in the forward direction from having the arm wings open...maybe not fully but enough to form an imaginary 'V' from head to the toes. The thinking is to reduce drag from having outstretched arms.

Thoughts?

Kris.

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Thoughts?



Yes, I got an interesting result:

To achieve maximum possible horizontal speed, one should fly at glide ratio of square root of 2 (1.41) with minimum possible drag coefficient.

This theoretical result points to leg wing as optimal for achieving max speed, since it's glide ratio lies between regular tracking (~1) and wingsuit (2-2.5).

I don't have time now to elaborate, c-ya! ;)

Yuri
Android+Wear/iOS/Windows apps:
L/D Vario, Smart Altimeter, Rockdrop Pro, Wingsuit FAP
iOS only: L/D Magic
Windows only: WS Studio

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This is all really stupid. Just grow some nuts and jump off a cliff and see how far you can fly. The furthest wins!



:D I agree.

For us folks that do not have a cliff in the backyard...this is a way of amusing ourselves:P. It is also good spaceout material when I am sitting at my desk and have nothing to do.

Kris.

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Thoughts?



Yes, I got an interesting result:

To achieve maximum possible horizontal speed, one should fly at glide ratio of square root of 2 (1.41) with minimum possible drag coefficient.

Yuri



That's BS!! Everyone knows that number must be PHI (1.618) :P.

Kris.

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To achieve maximum possible horizontal speed, one should fly at glide ratio of square root of 2 (1.41) with minimum possible drag coefficient.



That's BS!! Everyone knows that number must be PHI (1.618) :P.



Here we go:

In equilibrium flight (straight flight at constant speed), the vector sum of lift L and drag D is equal to weight W, therefore,

W = sqrt(L^2 + D^2)

If d is the density of the air, S is the surface area of the wing, V is the speed, the lift can be expressed as

L = 1/2*Cl*d*S*V^2

where Cl is the lift coefficient.

Drag is

D = 1/2*Cd*d*S*V^2

where Cd is the drag coefficient.

Thus,

W = 1/2*d*S*V^2*sqrt(Cl^2 + Cd^2)

Total speed V is the vector sum of horizontal and vertical components Vx and Vy:

V^2 = Vx^2 + Vy^2

So,

W = 1/2*d*S*(Vx^2 + Vy^2)*sqrt(Cl^2 + Cd^2)

The glide ratio G is the ratio of the Lift/Drag, or horizontal/vertical speed:

G = L/D = Vx/Vy = Cl/Cd

From this we have

Cl = G*Cd
Vy = Vx/G

and

W = 1/2*Cd*d*S*Vx^2/G^2*(G^2+1)^(3/2)

The horizontal speed is

Vx = sqrt(2*W/S/d/Cd*G^2*(G^2+1)^(-3/2))

For given weight W, air density d, wing surface area S, and drag coefficient Cd, the maximum horizontal speed will occur at maximum of this function:

F(G) = G^2*(G^2+1)^(-3/2)

The derivative F'(G) must be zero at maximum:

dF/dG = 2*G**(G^2+1)^(-3/2) - 3/2*G^2*(G^2+1)^(-5/2) = 0

From here we find that

G^2 = 2

G = sqrt(2) = 1.414

Fmax = 0.385

Vxmax = 0.88*sqrt(W/S/d/Cd)

So, for given drag coefficient Cd, the maximum horizontal speed is achieved at the glide ratio of square root of 2, or 1.414 - not the Da Vinci "code" Phi. ;)

E.g. for exit weight 200lbs (W = 90kg*9.8m/s^2 = 882N), d = 1.25kg/m^3, S = 0.8m^2,

Vx = 42m/s*sqrt(G^2*(G^2+1)^(-3/2)/Cd) = 94mph*sqrt(G^2*(G^2+1)^(-3/2)/Cd)

The 2-D graph of this function Vx(G, Cd) is in the attachment, and you can see that given Cd, the maximum horizontal speed is achieved at G = sqrt(2) = 1.414.

To summarize, to achieve the maximum horizontal speed, glide at ratio 1.4 (angle to horizon 35 degrees) with as little drag as possible (that is, gliding with your body parallel to the relative wind, arms not wide spread, smooth & tight suit). You can achieve this with the leg wing alone or with the leg wing and small arm wings.

Yuri
Android+Wear/iOS/Windows apps:
L/D Vario, Smart Altimeter, Rockdrop Pro, Wingsuit FAP
iOS only: L/D Magic
Windows only: WS Studio

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Wingsuits are not airplanes.

Some of your assumptions do not apply.

For example, "S" is not a constant in a wingsuit. As a sidenote, that is why polar curves may not be a very accurate way to describe wingsuit flight either.

Airplanes change their AOA by moving small metal components at the ends of rigid surfaces. We reshape our entire bodies.
www.WingsuitPhotos.com

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The result is actually quite generic, it is based only on these two assumptions:

1. Gravity is the only engine.
2. Aerodynamic force is proportional to the square of speed (which is true for high Reynolds numbers typical for wingsuit flight).

It's just simple physics: the gravitational "thrust" is equal to weight W times the sine of glide angle A. When the glide ratio is high, the thrust T = W*sin(A) is too low to achieve high horizontal speed. On the other hand, when the glide ratio is low, the thrust is high, but the horizontal component of your speed Vx = V*cos(A) is low.

The maximum speed is somewhere in the middle. This golden middle happens to be at sqrt(2) = 1.4.

It doesn't have to be precisely 1.4. The range 1.2-1.6, as can be seen from the graph, is almost "flat" in terms of horizontal speed. The crucial task is to achieve minimum drag while maintaining this 1.2-1.6 glide ratio. 1.2 can easily be achieved even with the Prodigy leg wing, but to maximize speed, a smoother and tighter pants and low profile rig will help.

I'll measure the glide and speed on Phantom leg wing this weekend.

Yuri
Android+Wear/iOS/Windows apps:
L/D Vario, Smart Altimeter, Rockdrop Pro, Wingsuit FAP
iOS only: L/D Magic
Windows only: WS Studio

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Did one jump with leg wing on Phantom (arm wings collapsed). Tracked in the direction of jump run first with a slow turn for the first 40s, then turned 90 and tracked for about 15s in the direction approximately perpendicular to the wind. Then sharp turn towards DZ and flew both wings for another 40s.

Maximum ground speed achieved on perpendicular to wind leg was about 135mph, with glide ratio approx. 1.4. Vertical speed data is so noisy it's not even funny. Vista C was mounted on the side of the helmet. I guess, increased total speed creates even larger fluctuations in dynamic pressure than when flying both wings.

Total speed (~160mph) builds up incredible pressure on leg wing, it's almost impossible to keep the wing wide open and I thought it's going to explode any second!!! Arm wings are bitch to keep collapsed, too. After the jump I felt as exhausted as after 20 WS jumps. B|

What can I say... It's a fuckin' Rocket!!! :)
Yuri
Android+Wear/iOS/Windows apps:
L/D Vario, Smart Altimeter, Rockdrop Pro, Wingsuit FAP
iOS only: L/D Magic
Windows only: WS Studio

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Vertical speed data is so noisy it's not even funny....Vista C was mounted on the side of the helmet



What you are seeing there is called coordinate truncation. Since the GPS calculates its position it has to figure for doppler shift of the signal from each satellite.When you get a truncated log like you have, the speed calculations are pretty useless. My guess is that the location(side) of the GPS receiver is why you are seeing a truncated track like that. There is also the possibility of a multipath error occuring due to the receivers location which contributed to the truncated log. If you are really bored, Google the topic and wade through the extremely boring details or just try relocating the receiver to the top of your helmet so it has a clear view of the sky.
"It's just skydiving..additional drama is not required"
Some people dream about flying, I live my dream
SKYMONKEY PUBLISHING

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My guess is that the location(side) of the GPS receiver is why you are seeing a truncated track like that.



Why is the horizontal speed data smooth, then?
Android+Wear/iOS/Windows apps:
L/D Vario, Smart Altimeter, Rockdrop Pro, Wingsuit FAP
iOS only: L/D Magic
Windows only: WS Studio

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Without seeing your entire track log, I would guess that you experienced a multipath error and/or Position Dilution of Precision(PDOP). Google it for an in depth description as there is no short way to explain both here.Have you always mounted the receiver on the side of the helmet and have you always seen these types of spikes in your tracks?
"It's just skydiving..additional drama is not required"
Some people dream about flying, I live my dream
SKYMONKEY PUBLISHING

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