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Range of V1Range of V1
Performance Engineer OperationsFlight Operations EngineeringPerformance Engineer OperationsFlight Operations Engineering
November 2001November 2001
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What is V1?What is V
1?
V1 is the speed at which the takeoffshould be continued unless thestopping maneuver has already beeninitiated
V1 is the speed at which the takeoffshould be continued unless thestopping maneuver has already beeninitiated
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Pilots definition of V1Pilots definition of V1V1 - The speed selected for each takeoff, based
upon approved performance data and specified
conditions, which represents:
V1 - The speed selected for each takeoff, basedupon approved performance data and specified
conditions, which represents: The maximum speed by which a rejected takeoff must beinitiated to assure that a safe stop can be completed withintheremaining runway, or runway and stopway;
The maximum speed by which a rejected takeoff must beinitiated to assure that a safe stop can be completed withintheremaining runway, or runway and stopway;
The minimum speed which assures that a takeoff can besafely completed within the remaining runway, or runway andclearway, after failure of the most critical engine at adesignated speed; and
The minimum speed which assures that a takeoff can besafely completed within the remaining runway, or runway andclearway, after failure of the most critical engine at a
designated speed; and
(AC 120-62)(AC 120-62)
The single speed which permits a successful stop orcontinued takeoff when operating at the minimum
allowable field length for a particular weight.
The single speed which permits a successful stop orcontinued takeoff when operating at the minimumallowable field length for a particular weight.
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Range of V1Range of V1
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Range of V1Range of V1
Definitions
Physical Representation Graphical Presentation
Available V1 Range
Examples
Reduced V1 Policy
Definitions
Physical Representation Graphical Presentation
Available V1 Range
Examples
Reduced V1 Policy
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Range of V1Range of V1
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DefinitionsDefinitions
VEF Engine Failure Speed - The speed at
which the critical engine becomes inoperative
VEF Engine Failure Speed - The speed at
which the critical engine becomes inoperative VR Rotation Speed - The speed at which the
rotation from three point attitude to the takeoff
attitude is initiated.
VR Rotation Speed - The speed at which therotation from three point attitude to the takeoff
attitude is initiated. VLOF Lift-off Speed - The speed at which the
airplane becomes airborne. VLOF Lift-off Speed - The speed at which the
airplane becomes airborne.
V2 Takeoff Safety Speed - The target speedto be attained at the screen height (e.g. 35 ft),assuming one engine inoperative and rotation
initiated at V R
V2 Takeoff Safety Speed - The target speedto be attained at the screen height (e.g. 35 ft),assuming one engine inoperative and rotation
initiated at V R
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Definitions (contd)Definitions (contd)
VMCG Ground Minimum Control Speed - Thespeed during the takeoff run at which, when thecritical engine is suddenly made inoperative, it ispossible to maintain directional control of theairplane using rudder alone, without deviating
from the runway centerline by more than 30 ft.
VMCG Ground Minimum Control Speed - Thespeed during the takeoff run at which, when thecritical engine is suddenly made inoperative, it ispossible to maintain directional control of theairplane using rudder alone, without deviating
from the runway centerline by more than 30 ft. VMBE Maximum Brake Energy Speed - The
highest speed from which the airplane may be
brought to a stop without exceeding themaximum energy absorption capability of thebrakes. Maximum Brake Energy Speed is
compared in takeoff planning to V 1.
VMBE Maximum Brake Energy Speed - Thehighest speed from which the airplane may be
brought to a stop without exceeding themaximum energy absorption capability of thebrakes. Maximum Brake Energy Speed is
compared in takeoff planning to V 1.
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Definitions (contd)Definitions (contd)
V1/VR Speed Ratio - The ratio of V1 to therotation speed VR. Used to generalize data forgraphical presentation.
V1/VR Speed Ratio - The ratio of V1 to therotation speed VR. Used to generalize data forgraphical presentation.
Standard V1/VR - The V1/VR speed ratio definedby the one engine inoperative field length limitedcondition. Commonly used in Boeing takeoff
analysis software.
Standard V1/VR - The V1/VR speed ratio definedby the one engine inoperative field length limitedcondition. Commonly used in Boeing takeoff
analysis software.
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Range of V1Range of V1
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Range of V1Range of V1
Definitions
Physical Representation Graphical Presentation
Available V1 Range
Examples
Reduced V1 Policy
Definitions
Physical Representation Graphical Presentation
Available V1 Range
Examples
Reduced V1 Policy
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V1 is selected to ensure:V1 is selected to ensure:
V1V1
All EngineAll Engine
VEFVEF
Engine InopEngine Inop
- Greater than or equal to VMCG- Greater than or equal to VMCG
- Less than or equal to VR- Less than or equal to VR
- Less than or equal to VMBE- Less than or equal to VMBE
- Stop on available surface- Stop on available surface
VRVR VLOFVLOF
V2V2
- Go with engine inoperative- Go with engine inoperative
35 ft35 ft
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Range of V1Range of V1
Range of V1. 10
FAR takeoff field length is the longer of:FAR takeoff field length is the longer of: Engine Inoperative Accelerate-Go Distance:Engine Inoperative Accelerate-Go Distance:
Brake Release Brake Release
One Engine InopAcceleration
One Engine InopAcceleration
All EngineAcceleration
All EngineAcceleration
VEFVEF V1V1 VRVR VLOFVLOF V2V2
35 ft35 ft
X 1.15X 1.15
Accelerate-Stop Distance:Accelerate-Stop Distance:
FULL STOPFULL STOP All Engine
Acceleration
All EngineAcceleration
EVENTEVENT V1V1 VBVB
BABA TCTC SPSP
Brake Release Brake Release
115% All Engine Distance to 35 ft:115% All Engine Distance to 35 ft:
All Engine AccelerationAll Engine Acceleration
VRVR VLOFVLOF V2V2
35 ft35 ft
Brake Release Brake Release
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Range of V1Range of V1
Range of V1. 11
V1 - Distance RelationshipsV1 - Distance Relationships (Constant Gross Weight)(Constant Gross Weight)
V1V1
35 ft35 ftBrake Release
Brake Release
StopStop
Low V1Low V1
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Range of V1Range of V1
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V1 - Distance RelationshipsV1 - Distance Relationships (Constant Gross Weight)(Constant Gross Weight)
V1V1
35 ft35 ftBrake Release
Brake Release
StopStop
Mid V1Mid V1
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Range of V1Range of V1
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V1 - Distance RelationshipsV1 - Distance Relationships (Constant Gross Weight)(Constant Gross Weight)
V1V1
35 ft35 ftBrake Release
Brake Release
StopStop
High V1High V1
Note: 115% All Engine Takeoff Distance is not affected by V1 choice
Note: 115% All Engine Takeoff Distance is
not affected by V1 choice
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Range of V1Range of V1
Range of V1. 14
Why a range of V1?Why a range of V1?
EVEN THOUGH ANY VALUE IN THE ALLOWABLERANGE OF V1 MEETS REGULATORYREQUIREMENTS, ONLY ONE V1 SHOULD BESELECTED FOR EACH SCHEDULED TAKEOFF. TOAID IN THIS SELECTION, THE FOLLOWING FACTSSHOULD BE CONSIDERED:
EVEN THOUGH ANY VALUE IN THE ALLOWABLERANGE OF V1 MEETS REGULATORYREQUIREMENTS, ONLY ONE V1 SHOULD BESELECTED FOR EACH SCHEDULED TAKEOFF. TOAID IN THIS SELECTION, THE FOLLOWING FACTSSHOULD BE CONSIDERED:
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Range of V1Range of V1
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Why a range of V1 ?(contd)Why a range of V1 ?(contd)
1. The stopping margins are increased for a rejected takeoff.(increased stopping margin is helpful on runways with
reduced braking capability)
1. The stopping margins are increased for a rejected takeoff.(increased stopping margin is helpful on runways with
reduced braking capability)
WHEN A LOW V 1 IS SELECTED:
(FOR A CONSTANT GROSS WEIGHT...)
WHEN A LOW V 1 IS SELECTED: (FOR A CONSTANT GROSS WEIGHT...)
2. There is additional margin from Brake Energy Limits2. There is additional margin from Brake Energy Limits
3. There may be only the minimum required clearance overthe end of the runway if it is necessary to continue thetakeoff after an engine failure.
3. There may be only the minimum required clearance overthe end of the runway if it is necessary to continue thetakeoff after an engine failure.
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Range of V1Range of V1
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Why a range of V1 ?(contd)Why a range of V1 ?(contd)
1. The margins are increased for a continued takeoff.(required takeoff distance is less; V2 is reached at an earlier
point)
1. The margins are increased for a continued takeoff.(required takeoff distance is less; V2 is reached at an earlier
point)
WHEN A HIGH V 1 IS SELECTED:
(FOR A CONSTANT GROSS WEIGHT...)
WHEN A HIGH V 1 IS SELECTED: (FOR A CONSTANT GROSS WEIGHT...)
2. There is additional margin from Ground Minimum ControlLimits
2. There is additional margin from Ground Minimum ControlLimits
3. There may be only the minimum required on stoppingdistance (the entire runway may be required if the takeoff isrejected at V1
3. There may be only the minimum required on stoppingdistance (the entire runway may be required if the takeoff isrejected at V1
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Range of V1Range of V1
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Range of V1Range of V1
Definitions
Physical Representation Graphical Presentation
Available V1 Range
Examples
Reduced V1 Policy
Definitions
Physical Representation Graphical Presentation
Available V1 Range
Examples
Reduced V1 Policy
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767-300ER / CF6-80C2B6/B6F distances767-300ER / CF6-80C2B6/B6F distances
V1 Accel-Go Accel-StopV1 Accel-Go Accel-Stop
180000 kg 130 kts 12050 ft 6025 ft180000 kg 130 kts 12050 ft 6025 ft140 kts 11220 ft 6910 ft140 kts 11220 ft 6910 ft
150 kts 10250 ft 7890 ft150 kts 10250 ft 7890 ft
170000 kg 130 kts 10050 ft 5710 ft170000 kg 130 kts 10050 ft 5710 ft140 kts 9300 ft 6540 ft140 kts 9300 ft 6540 ft
150 kts 8430 ft 7450 ft150 kts 8430 ft 7450 ft 160000 kg 130 kts 8440 ft 5310 ft160000 kg 130 kts 8440 ft 5310 ft
140 kts 7660 ft 6190 ft140 kts 7660 ft 6190 ft
150 kts 6870 ft 7050 ft150 kts 6870 ft 7050 ft
TEMP = 15C ELEV = SEA LEVEL NO WIND NO SLOPE A/C ON
FLAPS 5
TEMP = 15C ELEV = SEA LEVEL NO WIND NO SLOPE A/C ON FLAPS 5
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Range of V1Range of V1
Range of V1. 19
V1 Effect on Accel-Go and Accel-StopV1 Effect on Accel-Go and Accel-Stop
A c c e l - G o R e q u i r e d
A c c e l - G o R
e q u i r e d
A c c
e l - S t o
p R e q u
i r e d
A c c
e l - S t o
p R e q u
i r e d
Balanced Field Length
Balanced Field
Length V1
(X-Plot)(X-Plot)
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Range of V1Range of V1
Range of V1. 20
V1 Effect on Accel-Go and Accel-StopV1 Effect on Accel-Go and Accel-Stop (Web chart)(Web chart) Constant Pressure Alt, Temp, Wind, Slope
1 6 0 t
1 7 0 t
1 8 0 t
V 1
= 1 3
0 k t
s
V 1 =
1 4 0
k t s
V 1
= 1 5 0
k t s
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Range of V1Range of V1
Range of V1. 21
Runway Length and V1 Adjustments (Web Chart)Runway Length and V1 Adjustments (Web Chart)
CORRECTED ACCELERATE-STOP DISTANCE
E N
G I N E I N O P
E R A T I V E
C O R R E C T E D T A K E
O F F D I S T A
N C E
CORRECTEDCORRECTED
C O R R E C T E D
C O R R E C T E D
S p e e d R
a t i o ,
V 1 / V R
i n c r e a s i n g
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Range of V1Range of V1
Range of V1. 22
Runway Length and V1 Adjustments (Web Chart)Runway Length and V1 Adjustments (Web Chart)
CORRECTED ACCELERATE-STOP DISTANCE
E N
G I N E I N O P
E R A T I V E
C O R R E C T E D T A K E
O F F D I S T A
N C E
C o r r e c t e d R u n w a y L e n g t h
i n c r e
a s i n g
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Range of V1Range of V1
Range of V1. 23
Corrected Runway Length:Corrected Runway Length:
One Engine InoperativeCorrected Runway Length
(CRL) generalizes:
One Engine InoperativeCorrected Runway Length
(CRL) generalizes:
Temperature Temperature Gross Weight Gross Weight
Altitude Altitude
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Range of V1Range of V1
Range of V1. 25
Engine Inoperative Corrected Takeoff DistanceEngine Inoperative Corrected Takeoff Distance
ACTUAL RUNWAY LENGTH - 1000 M
ENGINE INOPERATIVE CORRECTED TAKEOFF DISTANCE - 1000 M
0 1 2 3 4 5 6 7
ENGINE INOPERATIVE CORRECTED TAKEOFF DISTANCE
0 1 2 3 4 5 6 7
CLEARWAY
SLOPE
WIND
ANTI-ICE
-
+
-
+
M A X IM U M A L L L O W A B L E C L E A R W A Y
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Range of V1Range of V1
Range of V1. 27
Takeoff SpeedsTakeoff Speeds
AIRPORT OAT
TAKEOFF SPEEDS
PRESSURE ALTITUDE
ROTATION SPEED V RTAKEOFF SAFETY SPEED V
2
T A K E O F F G R O S S W E I G H T
T A K E O F F G R O S S W E I G H T
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Range of V1Range of V1
Range of V1. 28
Range of V1Range of V1
Corrected Accelerate-Stop Distance
E n g
i n e
I n o p e r a
t i v e
C o r r e c
t e d T a
k e o
f f D i s t a n c e
Engine Inoperative CorrectedTakeoff Distance Available
C o r r e c t e d
R u n w a y L e n g t h
Corrected RunwayLength Required
RUNWAY LENGTH AND V1 ADJUSTMENTS
C o r r e c
t e d
A c c e
l - S t o p
D i s t a n c e
A v a
i l a
b l e
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Range of V1Range of V1
Range of V1. 29
Range of V1Range of V1
Corrected Accelerate-Stop Distance
E n g
i n e
I n o p e r a
t i v e
C o r r e c
t e d T a
k e o
f f D i s t a n c e
C o r r e c t e d
R u n w a y L e n g t h
Standard V 1/VR
RUNWAY LENGTH AND V1 ADJUSTMENTS
MaximumV1/VR
MinimumV1/VR
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Range of V1Range of V1
Range of V1. 31
Determining a Range of V1:Determining a Range of V1:
NOTE: V 1MIN and V 1MAX are the lowestand highest values of V 1 that will
satisfy all the Federal AviationRegulations related to MaximumTakeoff Gross Weight, Field LengthLimits. V 1 must not be greater thanVMBE or V R, nor less than V MCG
NOTE: V1MIN and V1MAX are the lowestand highest values of V 1 that will
satisfy all the Federal AviationRegulations related to MaximumTakeoff Gross Weight, Field LengthLimits. V1 must not be greater thanVMBE or VR, nor less than VMCG
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Range of V1Range of V1
Range of V1. 32
Range of V1 DeterminationRange of V1 Determination
V1MINV1MIN
Actual Runway LengthActual Runway Length
V1MAXV1MAX
Engine Inoperative Corrected Takeoff Distance Available
Engine Inoperative Corrected Takeoff Distance Available Corrected
Accelerate-Stop Distance Available
Corrected Accelerate-Stop
Distance Available
V1
VR MAX
V1
VR MAX
V1 VR MIN
V1 VR MIN
V1
VR MIN
V1
VR MIN X VRX VR
V1
VR MAX
V1
VR MAX X VRX VR
Rotation SpeedRotation Speed
Takeoff Gross WeightTakeoff Gross Weight
Corrected Runway Length Required
Corrected Runway Length Required
11 22
33
44 55
66
77 7
7
Actual Runway Length plus
Stopway
Actual Runway Length plus
Stopway
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Range of V1Range of V1
Range of V1. 34
Example Conditions:Example Conditions:
767-300ER / CF6-80C2B4
FLAPS 5 A/C ON
ANTI-ICE OFF
TAKEOFF GROSS WEIGHT = 335,000 LB
AIRPORT PRESSURE ALTITUDE = 5000 FT
AIRPORT TEMPERATURE = 35 DEG C
RUNWAY LENGTH = 10500 FT
SLOPE = -1%
WIND = 11 KTS HEADWIND
NO CLEARWAY OR STOPWAY
767-300ER / CF6-80C2B4
FLAPS 5
A/C ON
ANTI-ICE OFF
TAKEOFF GROSS WEIGHT = 335,000 LB
AIRPORT PRESSURE ALTITUDE = 5000 FT
AIRPORT TEMPERATURE = 35 DEG C
RUNWAY LENGTH = 10500 FT
SLOPE = -1%
WIND = 11 KTS HEADWIND
NO CLEARWAY OR STOPWAY
Example Solution
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Range of V1. 35
Class Problems:Class Problems:
STOPSTOP
Problem Set
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Range of V1Range of V1
Range of V1. 36
Minimizing V1Minimizing V1
When your dispatch weight is below themaximum allowed, V1 can be reduced while
remaining within the takeoff distance allowed
When your dispatch weight is below themaximum allowed, V1 can be reduced while
remaining within the takeoff distance allowed
At weights below the maximum takeoff weightAt weights below the maximum takeoff weight
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Range of V1Range of V1
Range of V1. 37
Range of V1Range of V1
Takeoff Gross Weight
V 1
V M C G V M C G
T a k e o f f
D i s t a
n c e A
v a i l a
b l e
T a k e o f
f D i s t
a n c e
A v a i l
a b l e
V 1 = V R V 1 = V R
Ac c e l e r a t e - S t o p D i s t a n c e Av a i l a b l e
Ac c e l e r a t e - S t o p D i s t a n c e Av a i l a b l e
One Engine InopField Length Limit
Range of V1
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Range of V1Range of V1
Range of V1. 38
Range of V1Range of V1
Corrected Accelerate-Stop Distance
E n g
i n e
I n o p e r a
t i v e
C o r r e c
t e d T a
k e o
f f D i s t a n c e
V 1 = V
R
A c c e l -
S t o p
D i s t
A v a
i l a
b l e V 1
= V M C G
Takeoff Distance Available
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Range of V1Range of V1
Range of V1. 39
Range of V1Range of V1
Corrected Accelerate-Stop Distance
E n g
i n e
I n o p e r a
t i v e
C o r r e c
t e d T a
k e o
f f D i s t a n c e
R a n g e
o f V 1
One Engine InopField Length Limit
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Range of V1Range of V1
Range of V1. 40
767-300ER / CF6-80C2B6/B6F distances767-300ER / CF6-80C2B6/B6F distances
V1 Accel-Go Accel-StopV1 Accel-Go Accel-Stop
180000 kg 130 kts 12050 ft 6025 ft180000 kg 130 kts 12050 ft 6025 ft140 kts 11220 ft 6910 ft140 kts 11220 ft 6910 ft
150 kts 10250 ft 7890 ft150 kts 10250 ft 7890 ft
170000 kg 130 kts 10050 ft 5710 ft170000 kg 130 kts 10050 ft 5710 ft140 kts 9300 ft 6540 ft140 kts 9300 ft 6540 ft
150 kts 8430 ft 7450 ft150 kts 8430 ft 7450 ft 160000 kg 130 kts 8440 ft 5310 ft160000 kg 130 kts 8440 ft 5310 ft
140 kts 7660 ft 6190 ft140 kts 7660 ft 6190 ft
150 kts 6870 ft 7050 ft150 kts 6870 ft 7050 ft
TEMP = 15C ELEV = SEA LEVEL NO WIND NO SLOPE A/C ON FLAPS 5
TEMP = 15C ELEV = SEA LEVEL NO WIND NO SLOPE A/C ON FLAPS 5
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Range of V1Range of V1
Range of V1. 41
6000
7000
8000
9000
10000
11000
12000
13000
4000 5000 6000 7000 8000 9000 10000
V1 ReductionV1 Reduction
1 3 0 k t s
1 4 0
k t s
1 5 0
k t s
1 6 0
k t s
1 6 0 t
1 8 0 t
1 7 0 t
Accelerate-Stop Distance - ft
E n g
i n e
I n o p e r a
t i v e
T a
k e o
f f D i s t a n c e -
f t
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6000
7000
8000
9000
10000
11000
12000
13000
4000 5000 6000 7000 8000 9000 10000
B a l a
n c e d
V 1 B a
l a n c e d
V 1
V1 ReductionV1 Reduction
1 6 0 t
1 3 0 k t s
1 4 0
k t s
1 5 0
k t s
1 8 0 t
1 6 0
k t s
1 7 0 t
For a field length of 9000 ft:
Field Limit TOW =
V1 =
For a field length of 9000 ft:
Field Limit TOW =
V1 =
180,000kg
160 kts
180,000kg
160 kts
Accelerate-Stop Distance - ft
E n g
i n e
I n o p e r a
t i v e
T a
k e o
f f D i s t a n c e -
f t
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Range of V1Range of V1
Range of V1. 43
767-300ER / CF6-80C2B6/B6F distances767-300ER / CF6-80C2B6/B6F distances
Bal V1
Bal V1
F.L. GW = 180t 160 kts 160 kts(CRL = 9000 ft)
F.L. GW = 180t 160 kts 160 kts(CRL = 9000 ft)
TEMP = 15C ELEV = SEA LEVEL NO WIND NO SLOPE A/C ON FLAPS 5
TEMP = 15C ELEV = SEA LEVEL NO WIND NO SLOPE A/C ON FLAPS 5
Minimum V1 for weight
Minimum V1 for weight
Delta V1from bal to min
Delta V1from bal to min
No reductionNo reduction
Actual GW = 170t ? ? ?Actual GW = 170t ? ? ?
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Range of V1Range of V1
Range of V1. 44
6000
7000
8000
9000
10000
11000
12000
13000
4000 5000 6000 7000 8000 9000 10000
V1 ReductionV1 Reduction
1 6 0 t
1 3 0 k t s
1 4 0
k t s
1 5 0
k t s
1 8 0 t
1 6 0
k t s
1 7 0 t
B a l a
n c e d
V 1 B a
l a n c e d
V 1
For a field length of 9000 ftand Actual TOW = 170,000kg:
For a field length of 9000 ftand Actual TOW = 170,000kg:
Balanced V1 = 154 ktsBalanced V1 = 154 kts Minimum V1 = 144 ktsMinimum V1 = 144 kts
Accelerate-Stop Distance - ft
E n g
i n e
I n
o p e r a
t i v e
T a
k e o
f f D i s t a n c e -
f t
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Range of V1Range of V1
Range of V1. 46
Range of V1 - SummaryRange of V1 - Summary
V1 within the allowable range can be chosen tomaximize margins on either Go or Stop
V1 within the allowable range can be chosen to
maximize margins on either Go or Stop Statistical evidence from RTO accidents and
incidents might lead us to consider a Reduced V1Policy
Statistical evidence from RTO accidents andincidents might lead us to consider a Reduced V1
Policy
Range of V1 can be used to optimize both
performance and takeoff safety
Range of V1 can be used to optimize both
performance and takeoff safety
A single V1 is chosen for each takeoff A single V1 is chosen for each takeoff
Within the allowable V1 Range, all Federal AviationRegulations related to Maximum Takeoff Gross
Weight, Field Length Limits, are satisfied.
Within the allowable V1 Range, all Federal AviationRegulations related to Maximum Takeoff Gross
Weight, Field Length Limits, are satisfied.
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Range of V1Range of V1
Performance Engineer OperationsFlight Operations Engineering
Performance Engineer Operations
Flight Operations Engineering