a380900
Topic Author
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### Concorde, Turns At Mach 2.2?

I was wondering how much pilots were able to turn when the concorde was at full speed? How long would a 180 turn have taken?

How about regular jets? Can they manoeuver somewhat at full speed?

[Edited 2007-01-15 06:15:18]

futurecaptain
Posts: 1918
Joined: Sat Sep 09, 2006 1:54 am

### RE: Concorde, Turns At Mach 2.2?

 Quoting A380900 (Thread starter):How long would a 180 turn have taken?

It seems from my books that when flying the radius of a turn is equal to the TAS in knots, squared, divided by 11.26*tan (angle of bank)

So, lets say for Mach 2.2 the TAS is somewhere around 1200 kts, using a 30 degree turn...pretty extreme bank angle for an airliner...

Anyway, 1200^2 / 11.26*tan (30)

1440000/6.5

So, the radius of the turn would be 221505 ft or about 42 miles.
Meaning if you only turned 180 degrees you would end up over 80 miles adjacent to where the turn was started.

I hope my formulas are right...
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oly720man
Posts: 5805
Joined: Fri May 21, 2004 7:13 am

### RE: Concorde, Turns At Mach 2.2?

Not sure if concorde ever pulled a 30 deg turn at cruise, but the distance of around 40 miles looks to be the right ballpark.

And if you were doing it at M15 you'd be half way across America...

http://www.hq.nasa.gov/office/pao/History/x15conf/what.html

Figure 6.

wheat and dairy can screw up your brain

blue22
Posts: 18
Joined: Wed Feb 02, 2005 7:38 pm

### RE: Concorde, Turns At Mach 2.2?

 Quoting Oly720man (Reply 2):And if you were doing it at M15 you'd be half way across America...

WOOOAAHH!!

zanl188
Posts: 3512
Joined: Sat Oct 21, 2006 9:05 pm

### RE: Concorde, Turns At Mach 2.2?

 Quoting A380900 (Thread starter):I was wondering how much pilots were able to turn when the concorde was at full speed?

 Quoting A380900 (Thread starter):So, the radius of the turn would be 221505 ft or about 42 miles.

 Quoting Oly720man (Reply 2):And if you were doing it at M15 you'd be half way across America...

Long story short... Point yourself in the right direction and know where you're going before you accelerate.....
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SlamClick
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### RE: Concorde, Turns At Mach 2.2?

There is another way to figure it. Using this I get a very different result from the one above.

Standard rate turn is three degrees per second.
At three degrees per second how long to turn 180 degrees? Sixty seconds.

How far does one travel in sixty seconds at a given speed? That will half the circumference of the circle made by the turn.

Trick is, you can't work it from a Mach number without converting that to knots and you can't convert it to knots unless you know the temperature. The good news is it yields the answer in whatever units you choose. Input the speed in MPH, Knots or KmPH and the size of the circle will be in those units.

So, for this question he specifies Mach 2.2 and I'll assume ISA at Flight Level 600.

ISA temperature at FL600 is -56.35°C or 216.65° Kelvin. The speed of sound is 39 times the square root of the latter. So I get Mach one equals about 574 knots. Times our Mach number of 2.2 and I get 1263 knots True Airspeed.

1263 knots divided by 60 (minutes per hour) and I see that we are moving about 21 nautical miles per minute.

Well all the way around the full 360 would then be 42 miles.
The radius of a 42 nautical mile circle is only a bit over 13 nautical miles across.

Now because at one point we both got the figure 42 one might speculate that one of us was answering the wrong question. Problem is that 42 is the answer to life, the universe and everything, so it is pretty hard to sort out where one of us went wrong.

So I invite you to read through my explanation and see if I've made a mistake at some important point.
Happiness is not seeing another trite Ste. Maarten photo all week long.

futurecaptain
Posts: 1918
Joined: Sat Sep 09, 2006 1:54 am

### RE: Concorde, Turns At Mach 2.2?

 Quoting SlamClick (Reply 5):Problem is that 42 is the answer to life, the universe and everything,

Good work Deep Thought. I'm off to kill some mice cause we all know they are the true rulers of Earth.
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David L
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### RE: Concorde, Turns At Mach 2.2?

And while the answer is being considered, can I just throw a spanner in the works and point out that, in passenger service, Concorde's cruising speed was usually M2.00 to M2.02, not M2.20?

Blackbird
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### RE: Concorde, Turns At Mach 2.2?

2.00 to 2.04 David L,

Andrea K

SlamClick
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### RE: Concorde, Turns At Mach 2.2?

 Quoting David L (Reply 7):Concorde's cruising speed was usually M2.00 to M2.02

I was wondering about that. Feel free to try my method with the new numbers if you feel strongly about it.
Happiness is not seeing another trite Ste. Maarten photo all week long.

AirSpare
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### RE: Concorde, Turns At Mach 2.2?

Mach 2.0, that was without the optional Improbabilty Engines?
Get someone else for your hero worship fetish

vikkyvik
Posts: 12066
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### RE: Concorde, Turns At Mach 2.2?

 Quoting SlamClick (Reply 5):Now because at one point we both got the figure 42 one might speculate that one of us was answering the wrong question. Problem is that 42 is the answer to life, the universe and everything, so it is pretty hard to sort out where one of us went wrong.

No matter, don't you see what you've done??? You've discovered the ultimate question!!! Well, almost...

Q: What is the radius (or circumference) of a 180-degree turn in an airliner at Mach 2.2?

A: 42

Now if only we can sort out that last bit about radius vs. circumference....
I'm watching Jeopardy. The category is worst Madonna songs. "This one from 1987 is terrible".

Ralgha
Posts: 1589
Joined: Tue Nov 09, 1999 6:20 pm

### RE: Concorde, Turns At Mach 2.2?

 Quoting SlamClick (Reply 5):So I invite you to read through my explanation and see if I've made a mistake at some important point.

Your explaination is correct for a standard rate turn, the problem is that at Mach 2, a 30 degree bank isn't anywhere close to a standard rate turn. One could figure out what the rate would be, but offhand I couldn't say.

I'll be back later with a formula if nobody beats me to it.
09 F9 11 02 9D 74 E3 5B D8 41 56 C5 63 56 88 C0

dw747400
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### RE: Concorde, Turns At Mach 2.2?

Also, don't some large transport category aircraft use a four minute standard rate turn (1.5 deg/sec) in place of two minutes, primarily because of the airspeeds involved and to limit the needed bank angle?
CFI--Certfied Freakin Idiot

FrancoBlanco
Posts: 382
Joined: Tue Jun 07, 2005 2:38 am

### RE: Concorde, Turns At Mach 2.2?

 Quoting SlamClick (Reply 5): 42 is the answer to life, the universe and everything

From flying the SSTSIM Concorde on MSFS (yeah, I know...), I have the original flightplans for the LHR-BAH (continuing to SIN) runs. In the late seventies they could not overfly Lebanon due to the civil war, so they did some spectacular looking turns in Syrian airspace to avoid the restricted area.

The technique was to use the aileron (elevon, actually) trim coupled with the Pitch Hold mode on the autopilot, in order to fly the aircraft with a constant five degree bank angle rather than strictly follow the special waypoints. At least, that's how I did it in the sim, it worked great.

The radius (circumference, anyone?) was rather impressive when cruising at M2.02 (that's the standard cruise speed, the autothrottle/autopilot always keeps the plane between M2.00 and M2.02 when in Max Climb/Max Cruise mode).

Sebastian

Edit: btw, 1263 KTAS would be a bit too high, I'd say. From what I know, the typical TAS would range between 1130 and 1160 knots. On www.groundspeedrecords.com the highest entry is 1205 kts GROUNDSPEED.

[Edited 2007-01-15 20:06:17]
'Pointless!' - NY Times

SlamClick
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Joined: Sun Nov 23, 2003 7:09 am

### RE: Concorde, Turns At Mach 2.2?

 Quoting FrancoBlanco (Reply 14):btw, 1263 KTAS would be a bit too high, I'd say. From what I know, the typical TAS would range between 1130 and 1160 knots

Sounds about right. Remember that I was using M2.2 as in the thread title. The 574 knot SOS I got, times M2.02 gives me 1159.48 knots so - close enough?
Happiness is not seeing another trite Ste. Maarten photo all week long.

Ralgha
Posts: 1589
Joined: Tue Nov 09, 1999 6:20 pm

### RE: Concorde, Turns At Mach 2.2?

V : speed in feet per second
g : gravitational acceleration (32.174 ft/sec^2)
A : bank angle

R = V^2 / (g * tan(A))

Using a speed of 1159 knots and a bank angle of 30 degrees, the radius of the turn equals 34 nautical miles.

[Edited 2007-01-15 21:13:25]
09 F9 11 02 9D 74 E3 5B D8 41 56 C5 63 56 88 C0

FrancoBlanco
Posts: 382
Joined: Tue Jun 07, 2005 2:38 am

### RE: Concorde, Turns At Mach 2.2?

 Quoting SlamClick (Reply 15): 1159.48 knots so - close enough?

Shouldn't it be 1159.42?

Seriously, I forgot that you were calculating with M2.2. No offense intended.

Sebastian
'Pointless!' - NY Times

SlamClick
Posts: 9576
Joined: Sun Nov 23, 2003 7:09 am

### RE: Concorde, Turns At Mach 2.2?

 Quoting FrancoBlanco (Reply 17):Shouldn't it be 1159.42

Rule of thumb: Put your thumb over the instrument concerned, at arm's length. If you thumb covers the difference your answer is close enough.

As Nathaniel Bowditch used to say: "One should take care not to solve navigation problems to too many decimal places. It produces an illusion of accuracy." Well if he didn't say something like that he should have.
Happiness is not seeing another trite Ste. Maarten photo all week long.

FrancoBlanco
Posts: 382
Joined: Tue Jun 07, 2005 2:38 am

### RE: Concorde, Turns At Mach 2.2?

...and since we both know that the average population of the universe is zero and therefore the population of earth must be zero, this discussion is of no use for anyone. Not even for the 42 mice strolling around on my desk.

Nevertheless, that's a great quote you cited, nevermind if he said that or not.

Sebastian
'Pointless!' - NY Times

futurecaptain
Posts: 1918
Joined: Sat Sep 09, 2006 1:54 am

### RE: Concorde, Turns At Mach 2.2?

 Quoting AirSpare (Reply 10):Mach 2.0, that was without the optional Improbabilty Engines?

And were the flux capacitors operating or no?

 Quoting Ralgha (Reply 12):Your explaination is correct for a standard rate turn, the problem is that at Mach 2, a 30 degree bank isn't anywhere close to a standard rate turn. One could figure out what the rate would be, but offhand I couldn't say.

See if this formula I have makes sense.

(Rate of turn in degrees per sec) = 1091*tan(bank angle) / Velocity (knots)

So, we want 3 deg/sec for standard rate at 1160 kts.

3=1091*tan (angle) / 1160
3480=1091*tan(angle)
3.18=tan(angle)

72.6 degrees = bank angle which will give us a 3 degree per second turn.

Plugging that in to my other formula I used for the radius.

R = 1160^2 / 11.26*tan(72.6)
R=1345600 / 35.93
R=37449 ft...or 7.1 miles

So a standard rate turn in Concorde at Mach 2 happens at 72.6 degrees of bank and the radius of the turn would be 7.1 miles.

If these formula's hold.
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A342
Posts: 4017
Joined: Sun Jul 31, 2005 11:05 pm

### RE: Concorde, Turns At Mach 2.2?

I have read the following about the SR-71: At cruise speed and a bank angle of 35 deg, the distance flown on a full 360 deg circle is 320 km. That would give a turn radius of 51 km. Unfortunately, the exact speed was not stated, but it must be something around M3.0, no ?

Maybe you can work out something with your formulas...
Exceptions confirm the rule.

SlamClick
Posts: 9576
Joined: Sun Nov 23, 2003 7:09 am

### RE: Concorde, Turns At Mach 2.2?

 Quoting A342 (Reply 21):the exact speed was not stated, but it must be something around M3.0, no ?

The SR-71 operators usually don't admit to much over Mach 2.0 so the numbers might be more in that range. That being the case we are talking about a radius of 28 nautical miles which is as good as anything I've read or posted so far.
Happiness is not seeing another trite Ste. Maarten photo all week long.

prebennorholm
Posts: 6582
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### RE: Concorde, Turns At Mach 2.2?

 Quoting SlamClick (Reply 5):There is another way to figure it. Using this I get a very different result from the one above. Standard rate turn is three degrees per second.

Huh, you just don't turn three degrees per second going at Mach 2. Certainly not with pax on board.

 Quoting SlamClick (Reply 18):As Nathaniel Bowditch used to say: "One should take care not to solve navigation problems to too many decimal places. It produces an illusion of accuracy." Well if he didn't say something like that he should have.

Charley Brown, talking to himself: If I make one mistake each day, and I if I die at age 80, then I will have made approximately 30,000 mistakes.

When calculating my mistakes it is best to stick to round figures.

 Quoting Oly720man (Reply 2):Not sure if concorde ever pulled a 30 deg turn at cruise, but the distance of around 40 miles looks to be the right ballpark. And if you were doing it at M15 you'd be half way across America...

Dear Oly720man, your Mach 15 turn half way across America is a 2G turn. A level 2G turn requires a 60 degrees bank. At 30 degrees bank you could add Canada and Mexico to your flight profile.

New subject: The flight profile of a low orbit satellite can be compared to a plane making a 2G horizontal turn. One G to keep altitude and one G to produce the turn.

A satellite constantly makes a one G vertical turn - it falls down against terra firma, but misses since Columbus uninvented the flat Earth. It makes a 360 degrees turn in 90 minutes = 5400 seconds. It's standard turn rate is 360 divided by 5400 = 0.06666 degrees per second. (Let's call that 0.07 degrees to please Nat Bowditch).

But who knows what is right and wrong? The other day a colleague from Sydney, Australia told me that in the sea east of New Zealand the water falls over the edge.
Always keep your number of landings equal to your number of take-offs

SlamClick
Posts: 9576
Joined: Sun Nov 23, 2003 7:09 am

### RE: Concorde, Turns At Mach 2.2?

 Quoting Prebennorholm (Reply 23):Huh, you just don't turn three degrees per second going at Mach 2. Certainly not with pax on board.

Sorry, I haven't logged much time at Mach 2 (meaning none) and hadn't thought that one all the way through. Someone else posted that three degrees per second at that speed would be a 72.6 degree bank. Bit steep!

 Quoting Prebennorholm (Reply 23):If I make one mistake each day

I believe I am well ahead of schedule and could die any time now.
Happiness is not seeing another trite Ste. Maarten photo all week long.

2H4
Posts: 7960
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### RE: Concorde, Turns At Mach 2.2?

 Quoting SlamClick (Reply 24):a 72.6 degree bank. Bit steep!

A perfectly normal Southwest Airlines procedure for turns to final.

Just ask the Civil Aviation forum.....

2H4

Intentionally Left Blank

chksix
Posts: 336
Joined: Mon Sep 26, 2005 6:16 pm

### RE: Concorde, Turns At Mach 2.2?

With the help of this manual: http://www.sr-71.org/blackbird/manual/ you can make accurate calculations for the Blackbird.

Cruise speed was 3.2, bank angle 35 deg for level turns. Altitude loss when turning steeper to maintain Mach number. Max speed 400 KEAS.
The conveyor belt plane will fly

prebennorholm
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### RE: Concorde, Turns At Mach 2.2?

 Quoting SlamClick (Reply 24):I believe I am well ahead of schedule and could die any time now.

Always keep your number of landings equal to your number of take-offs

2H4
Posts: 7960
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### RE: Concorde, Turns At Mach 2.2?

Indeed. Remember, SlamClick, you've still got a book to write.....

2H4

Intentionally Left Blank

EGTESkyGod
Posts: 1476
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### RE: Concorde, Turns At Mach 2.2?

The way to find out is to ask someone who has done it. GDB was onboard Concorde for an evaluation flight on September 11th 2001 where Concorde was flown halfway across the Atlantic before turning round (presumably at Mach 2) and brought back to Heathrow. I'm sure he'll be able to find out for you.
I came, I saw, I Concorde! www.gofundme.com/lineupandwait

Posts: 3697
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### RE: Concorde, Turns At Mach 2.2?

 Quoting SlamClick (Reply 5):Problem is that 42 is the answer to life, the universe and everything, so it is pretty hard to sort out where one of us went wrong.

I knew there was a reason you were on my RR list...

Thanks for the funniest post this week!
Whoever said "laughter is the best medicine" never had Gonorrhea

David L
Posts: 8550
Joined: Tue May 18, 1999 2:26 am

### RE: Concorde, Turns At Mach 2.2?

 Quoting SlamClick (Reply 9):Quoting David L (Reply 7): Concorde's cruising speed was usually M2.00 to M2.02 I was wondering about that. Feel free to try my method with the new numbers if you feel strongly about it.

No, that's OK. One idea a month (good or bad) is quite enough for me, thanks.

Posts: 3697
Joined: Thu Nov 08, 2001 1:04 am

### RE: Concorde, Turns At Mach 2.2?

 Quoting 2H4 (Reply 25):A perfectly normal Southwest Airlines procedure for turns to final. Just ask the Civil Aviation forum.....

You joke around but I swear my pilot on WN the last time i flew SJC-LAX was straight out of the Navy and Honestly believed he was performing a Nimitz style carrier landing...
Whoever said "laughter is the best medicine" never had Gonorrhea

Bellerophon
Posts: 522
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### RE: Concorde, Turns At Mach 2.2?

A380900

...I was wondering how much pilots were able to turn when the concorde was at full speed...

Concorde manoeuvred very well at high speed, she just used up a lot of sky to do it because of the speed she travelled at.

Cruising speed was M2.0, which, at altitude, in ISA conditions, gave a TAS of 1,147 kts.

Standard bank angle was 30°, and, like any other aircraft, a level turn, using 30° bank, pulled 1.16g.

At M2.0, using 30° bank, in still air, the radius of turn was around 35 nm.

...How long would a 180 turn have taken?..

The distance travelled, around a 180° turn, would have been around 110 nm. At M2.0, this would have taken somewhere around 5m 45s.

Et je prie de vous, en Anglais, pas “ la” Concorde, mais “Concorde” seulement.

Regards

Bellerophon

David L
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### RE: Concorde, Turns At Mach 2.2?

Well, that's that settled! Thanks, Bellerophon.

MidEx216
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### RE: Concorde, Turns At Mach 2.2?

You guys are nuts. I've finally found my family!

helvknight
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### RE: Concorde, Turns At Mach 2.2?

 Quoting SlamClick (Reply 5): Problem is that 42 is the answer to life, the universe and everything, so it is pretty hard to sort out where one of us went wrong.

{ROTFL}

I've been meaning to do this for a while. Slamclick, you have just joined Zeke and Wings on my RU list.

[Edited 2007-01-23 23:00:44]
I refuse to join any club that would have me as a member - Groucho Marx

a380900
Topic Author
Posts: 801
Joined: Fri Dec 05, 2003 11:26 pm

### RE: Concorde, Turns At Mach 2.2?

Bellerophon,

Thank you. I was waiting for a concorde pilot to settle the matter!

I thought that it was like a super tanker in the sky. Barely able to bank at full speed. It is still an airplane after all!

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