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CPL FLIGHT PLANNING CPL FLIGHT PLANNING FLIGHT TRAINING COLLEGE CPL DOC 3 Revision : 1/1/2001 Version 7

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Page 1: CPL FLIGHT PLANING

CPL

FLIGHT PLANNING

CPL FLIGHT PLANNING FLIGHT TRAINING COLLEGECPL DOC 3Revision : 1/1/2001 Version 7

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INDEX

CPL FLIGHT PLANNING

1. Terminology 012. Aerodromes 073. Graphs 174. Flight Graphs 195. Weight & Balance 416. CP/PET & PNR 57

Annex A Sample Exams 65Annex B Load Sheets 71Annex C Answers to Questions 87King Air B200 EE-20 Manual (separate booklet)

Copyright 2001 Flight Training College of Africa All Rights Reserved. No part of this manual may be reproduced in any manner

whatsoever including electronic, photographic, photocopying, facsimile, or stored in a retrieval system, without the prior permission of Flight Training College of Africa.

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CHAPTER 1

TERMINOLOGY

Airspeed terminology

Va Design manoeuvre speed. The maximum speed at which full application of controls can be made.

Vf Design flap speed. The highest speed at which flaps may be activated.

Vfe Maximum flap extended speed.

Vle Maximum landing gear extended speed.

Vlo Maximum landing gear operating speed.

Vlof Lift off speed.

Vmca Minimum control speed - air.

Vmcg Minimum control speed - ground.

VR Rotation speed

Vref: Landing reference speed (1.3 x Vso)

Vs Stall speed.

Vso Stall speed in the landing configuration.

Vsse Minimum intentional one-engine inoperative speed.

Vx Best angle of climb speed.

Vy Best rate of climb speed.

V1 Take-off decision speed.

V2 Take-off safety speed.

Vmo Maximum operating limit speed is the speed limit that may not deliberately be exceeded in normal flight (in KNOTS)

Mmo Maximum operating Mach number, the highest mach number at which an aircraft may be intentionally flown

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Temperature terminology

IOAT Indicated Outside Air Temperature as read from the indicator (not corrected).

OAT Outside Air Temperature (corrected)

TAT Total Air Temperature. Measured by a Rosemount Probe.

SAT Static Air Temperature. The correct temperature of the ambient air.

RAT Ram Air Temperature.

Temp Dev. The difference between the actual OAT and the temperature of that level in the ISA atmosphere. The ISA lapse rate is 1.98c per 1000ft. For the purpose of calculations, a lapse rate of 2c per 1000’ can be used.

Pressure Alt Height above the 1013.25 hPa level

Density Alt. The higher the density altitude, the lower the air density and performance of the aircraft's engines. Runway length requirements increase with a potential corresponding reduction in the take-off weight. Most performance graphs contain positioning for pressure altitude and temperature; a calculation to determine density altitude is not required.

To calculate density altitude, convert airfield elevation to pressure altitude, then compute using a nav. computer.

Pressure Altitude 2915 feet QNE 1013 hPa360 feet 30 ft x 12 hPa

Airfield Elevation 3275 feet QNH 1025 hPaOAT +32°C DA 5489 feet.

Aerodrome Pressure QFE, The pressure setting used to indicate the height above the aerodrome in use. The use of QFE is rare in South Africa.

Conversion factors Use the pathfinder, whiz wheel or a calculator.

1 Imperial Gallon = 1.201 US Gallons1 Imperial Gallon = 4.5461 Litres1 US Gallon = 3.7854 Litres1 Kilogram = 2.2046 Pounds1 Foot = 0.3048 Metres1 Metre = 3.2808 Feet

Question 1: 382 Kgs of fuel at SG 0.79 are loaded. The number of US Gallons is?

Question 2: The weight in kilograms of 450 Imperial Gallons of fuel (SG 0.82) is?

Question 3: The weight in kilograms of 375 US Gallons of fuel (SG 0.81) is?

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SEMI-CIRCULAR FLIGHT LEVELS

BASED ON MAGNETIC TRACKS

NOTE: In South Africa no VFR flights above FL 200

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QUESTIONS

1. Airfield Elevation 5327 Feet,Temperature +27°C,QNH 1025 hPa.

The Density Altitude is :-

a) 7876 ftb) 8305 ftc) 7607 ft

2. Airfield Elevation 1075 feet,Temperature +16°C,QNH 995 hPa.

The Density Altitude is :-

a) 2130 ftb) 1444 ftc) 771 ft

3. At 0600 Z the temperature at an airfield (Pressure Altitude 3575 feet) was +12°C.At 1400 Z the temperature rose to +27°C.The increase in Density Altitude was :-

a) 1210 ftb) 1407 ftc) 1807 ft

4. At an airfield where the Relative Humidity is high the :-

(a) Take-Off performance of an aircraft will be enhanced,(b) The climb performance of an aircraft will be degraded,(c) The landing performance of an aircraft will be improved.

There are two methods to determine the Density Altitude of an airfield elevation.

Method 1 Using the Electronic Flight Computer

Method 2 Calculate the temperature deviation between the actual temperature at the airfield pressure altitude and the ISA temperature for the airfield pressure altitude. Multiply this figure by 120 and add or subtract to or from the pressure altitude to give density altitude. This conversion allows 120ft per C of temperature deviation between reported outside temperature and ISA.

Beware; airfields cooler than ISA will have a lower density altitude than airfields warmer than ISA.

CONVERSION OF hPa TO INCHES OF MERCURY (“Hg)

There is no complex formula involved; it is simply by linear interpolation . You will already know that 1013.25 hPa = 29.92”Hg.

Given a QNH of 998 hPa what is the corresponding pressure setting in “Hg?

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CHAPTER 2

AERODROMES

AIRFIELD DETAILS

The physical dimensions of the runway, stopway and clearway may affect an aircraft's maximum take-off weight.

STOPWAY

The stopway is an extension to the end of the runway, which may be used to stop the aircraft in the event of a rejected take-off. The stopway must be at least as wide as the runway, able to support the aircraft without incurring structural damage, but is not intended for normal use.

CLEARWAY

Clearway may be used for the initial climb from lift-off to 50 feet above the ground. The clearway is an area beyond the end of the runway, which complies with the following criteria:

It must be at least 300 ft wide on either side of the extended centre-line; It must be under airport control; It must be clear of obstacles; The elevation of the clearway may not be higher than the end of the runway; The clearway includes the stopway (if available);

DECLARED RUNWAY DISTANCES as specified by ICAO

TAKE-OFF RUN AVAILABLE (TORA)

The length of runway, which is declared available and suitable for, the ground run of an aeroplane taking off.

ACCELERATE STOP DISTANCE AVAILABLE (ASDA)

The length of the take-off run available plus the length of stopway available (if stopway is provided).

TAKE-OFF DISTANCE AVAILABLE (TODA)

The length of the take-off run available plus the length of clearway available (if clearway is provided).

REFERENCE ZERO

The point at the end of the take-off run at which the airplane is 35 feet above the runway surface. Laterally it is located at the end of the Take-Off Distance Required (TODR) and is the point from which horizontal distances to obstacles are measured.

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LANDING DISTANCE AVAILABLE (LDA)

The length of runway which is declared available and suitable for the ground run of an aeroplane landing. The landing distance available commences at the threshold and extends for the length of runway after the threshold. However, the threshold may be displaced from the extremity of the runway when it is considered necessary to make a corresponding displacement of the approach surface by reason of obstacles in the approach path to the runway.

North

RUNWAY TORA ASDA TODA LDA

feet feet feet feet 09 2000 2300 2580 1850 27 2000 2350 2350 2000

RUNWAY SURFACE CONDITIONS

If the runway surface is contaminated by, for example, water or snow, the aircraft will require more runway length to reach takeoff speed. If this extra runway length is not available, the aircraft's take-off weight will have to be reduced.

RUNWAY SLOPE

An uphill slope requires a longer take-off run, and therefore, a possible reduction of the take-off weight. A runway with a downhill slope would have the opposite effect.

A point worth bearing in mind is that an uphill slope would mean less distance required to bring the aircraft to a stop in the event of an aborted take-off and vice versa for a downhill slope. A definitive answer on the effect of slope on an aircraft's take-off weight would, of course, be extracted from the appropriate performance graphs.

LANSERIA RWY 06L Threshold Elevation 4517 feetRWY 24R Threshold Elevation 4393 feet

Runway Length 3048 metres

To calculate runway slope: Difference in Elevation 124 feet

Runway Length 3048 metres 3.28 100 = 1.24 %

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TAKE - OFF WIND COMPONENT

A tailwind component at take-off increases the amount of runway required for take-off, and therefore, possibly a reduction of the take-off weight. A headwind component at take-off would have the opposite effect.

CLIMB LIMITATIONS

CLIMB or WAT (Weight Altitude Temperature) LIMIT

The combination of weight and air density (altitude and temperature) affects the performance of the aircraft, and even if the aircraft can get off the ground with an engine failure at V1, its rate of climb would be too low to satisfy the required climb gradients during the Take-Off Flight Path. Obstacles within the airfield boundaries and close than 200' to the flight path must be cleared by at least 50' vertically. Obstacles outside the airfield boundaries and closer than 300' to the flight path must be cleared by at least 50' vertically.

PERFORMANCE CLASSIFICATION NUMBER (PCN) and AIRCRAFT CLASSIFICATION NUMBER (ACN)

The performance classification number for a runway is an expression of its bearing strength. The aircraft classification number is derived graphically using its single isolated wheel loading (SIWL) and tyre pressure. ACN can also prove to have a limiting effect on the maximum take-off weight of an aircraft.

BRAKE ENERGY LIMIT

In the process of bringing an aircraft to a stop, its brakes convert kinetic energy into heat energy. The amount of heat energy that the brakes can absorb certainly has limits. In airspeed terminology the speed at which this limit occurs is known as Vmbe. The greater the take-off weight of an aircraft, the higher its take-off speed will be and the more energy the brakes will have to absorb in the event of an aborted take-off. Although the brake energy limit may not directly limit the take-off weight, many aircraft have a minimum turn around time between landing and subsequent take-off, which will ensure adequate braking in the event of an aborted take-off. This minimum turn around time is directly proportional to the weight at which the aircraft landed and the weight for the next take-off.

TYRE SPEED LIMIT

Much like the aircraft's brakes, the tyres also have certain limitations to ensure their structural integrity. The limit is the maximum true ground speed that the tyres can absorb. The higher the take-off weight of the aircraft, the higher the take-off speeds will be, and this may prove to be a limiting factor requiring a reduction in the maximum take-off weight.

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TAKE OFF FLIGHT PATH

175ft

3000 ft

Select the correct take-off flight path graph to find the climb gradient required to clear the above 175ft high tree if the tree is located 3000ft beyond reference zero. The aerodrome elevation is 1000’ Pressure height and the temperature is +25 c.

Graph on page 5-28 (Smaller graph on the right of the page).

Enter with the horizontal distance from Reference Zero figure.

In this case its: 3000ft

Enter with 3000 feet along the bottom of the expanded graph and then intersect the 175ft (obstacle height) to get the answer of 4.8%

Now use the graph titled Net gradient of Climb to find the maximum weight for this climb with 0% of flap…

Use the graphs on pages 5-37 and 5-41.

Enter the graph with the Temperature and intersect the Pressure altitude, then across to intersect the gradient and a vertical line down to reveal the weight.

Answers: 0% flap = 40% flap =

Example 2 ( 5-28, 5-37)

An aircraft has a TODR of 1250m, and there is a hill located 2130m from the start of the runway, and its highest point is located 200’ agl. The aerodrome elevation is 2860’ amsl, the QNH is 998 hPa, and the temperature is +18 c.

Find the Climb gradient required, and the max weight for the climb with 0% flap…

Example 3 (5-28, 5-37)

An aircraft has a reference zero figure of 1990m, there is a temporary crane operating 1990m from the end of the clearway (i.e. TODA) along the extended centreline, the cranes maximum height is 480’ agl, the aerodrome is 5550’ amsl, QNH 1010 hPa and the temperature is +35 c.

Find the Climb gradient required, and the max weight for the climb with 0% flap.

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TODA

Reference zero point

is here.

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WIND CALCULATIONS

Using the graph on page 5-33 or your electronic flight computer find the following:

Example 1

On a runway with directions 18/36, with a wind of 030/35 find the crosswind and headwind.

Prior to entering the graph work out the most into wind runway, in this case its runway 36, then work out the difference in degrees from the runway direction to wind direction. Here it’s the difference between 360 and 030, so its 30 degrees.

Enter the graph at the point of intersection of 30 and 35 kts, the read off the answers of31kts hw and 18 kt x-wind.

Example 2

An aircraft has the following TAF, what will be the headwind and crosswind for a take off on runway 16/34?

PARIS/CHARLES DE GAULLE LFPG 03/09-18Z 02033KT CAVOK TEMPO 1013 SCT033 T20/12Z T21/15Z

Example 3

Using the following TAF find the tailwind component for a take off on runway 03/21

STAVANGER ENZV 03/09-18Z 33015G25KT 9999 FEW015 SCT040

AVERAGE WIND CALCULATIONS

An unusual method must be employed when working out the average wind for the exam questions. BEWARE there is only one way to get the correct answer, AND ITS DIFFERENT TO THE METHOD USED IN NAVIGATION…

The following figures relate to a Flight Plan

SECTOR TAS WC GS DIST TIME

A to TOC 300 -112 188 110 0 : 35

TOC to B 495 +109 604 318 0 : 44

B to C 488 -39 449 561 1 : 15

C to TOD 476 -51 425 672 1 : 35

TOD to D 300 -114 186 90 0 : 29

1751 4 : 38

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WORKING

SECTOR TAS WC GS DIST TIME

A to TOC 300 -112 188 110 0 : 35

TOC to B 495 +109 604 318 0 : 44

B to C 488 -39 449 561 1 : 15

C to TOD 476 -51 425 672 1 : 35

TOD to D 300 -114 186 90 0 : 29

1751 4 : 38

Step 1

Add up the TAS column to get 2059 kts total TAS’s

Step 2

Add up the DIST column to get 1751nm total

Step 3

Now divide the total TAS column by the total time 4hr 38min, 444kts, and do the same for the DIST column, so you get then 378kts.

Step 4

Now you have an average TAS of 444kts, and an average DIST of 378kt, so subtract one from the other to get the answer of 66kts average headwind component.

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REVISION QUESTIONS

At an airfield the runway details are :-

RWY 06 RWY 24Runway length 4000 feet 4000 feetStopway 350 feet 450 feetClearway 600 feet 700 feetDisplaced Threshold 200 feet

Using this information answer questions 1to 4.

1 The Take-Off Distance (TODA) for RWY 06 is :-

a) 4150 ftb) 4350 ftc) 4600 ft

2 The Accelerate Stop Distance (ASDA) for RWY 24 is :-

a) 4000 ftb) 4450 ftb) 4700 ft

3 The Landing Distance Available (LDA) for RWY 06 is :-

a) 3800 ftb) 4000 ftc) 4350 ft

4 The Take-Off Run Available (TORA) for RWY 24 is :-

a) 4000 ftb) 4350 ftc) 4700 ft

5. Runway 08/26 at Port Elizabeth is 1980 metres in length.

The threshold elevation of RWY 08 is 225 feet.The threshold elevation of RWY 26 is 185 feet.

The slope of RWY 26 is :-

a) 0.62 % UPb) 0.74 % UPc) 0.81 % UP

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6. Runway 10/28 at East London is 1935 metres in length.

The threshold elevation of RWY 10 is 431 feet.The threshold elevation of RWY 28 is 383 feet.

The slope of RWY 10 is :-

(a) 0.69 % DN(b) 0.76 % DN(c) 0.84 % DN

7. An aerodrome has been surveyed and the following figures have been relayed to you prior to departure. Find the amount Stopway , Strip length and Clearway length for all runways…(all figures given are in metres)

RUNWAY TORA ASDA TODA LDA01 890 890 1124 80019 890 890 1090 89015 3450 4700 6200 345033 3450 4850 5350 3450

8. An aircraft is to depart from the following runway what is the crosswind component on runway 25?BERGEN ENBR 03/09-18Z 33020KT 9999 FEW025=

(a) 4kt from right(b) nil(c) 20kt from right

9. Runway 06 W/V 100/27 The wind Component for Take-Off is :-

(a) 14 Kts Hw(b) 17 Kts Hw(c) 21 Kts Hw

10. In order to Take-Off an aircraft requires a Runway Headwind Component of at least 15 Kts. The maximum permitted Cross Wind Component is 30 Kts. The Runway in use is 09 and the Wind Direction is 130°. The maximum and minimum wind speeds that will allow take-off are :-

(a) 20 and 46 Kts(b) 20 and 40 Kts(c) 25 and 46 Kts

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11. An aerodrome has just been surveyed and the surveyor has come with the following figures. Utilise these figures to find:

a- TODAb- TORAc- ASDAd- LDA

Runway direction is 09/27

* all distance are from end of runway strip….

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Strip length = 1380m

Clear area of grass 650m

Obstacle free area 1600m fm strip end

Obstacle free area 350m

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CHAPTER 3

MISC GRAPHS

GRAPH 5 - 13 AIRSPEED CALIBRATION

Enter with IAS 89 Kts, move vertically to the reference line, then horizontally and read off CAS 90 Kts.

OREnter with CAS 90 Kts, move horizontally to the reference line, then vertically and read off IAS 89 Kts.

NOTE: CAS (Calibrated Airspeed) is the American version of RAS (Rectified Airspeed)

GRAPH 5 - 15 ALTIMETER CORRECTION

Flaps 0 % IAS 200 Kts FL 260= 30 feet ADDED to INDICATED ALTITUDE

25 970 feet INDICATED ALTITUDE + 30 feet = 26 000 feet ACTUAL ALTITUDE

OR

26 000 feet INDICATED ALTITUDE + 30 feet = 26 030 feet ACTUAL ALTITUDE

Flaps 100 % IAS 130 Kts 8000 feet = 15 feet SUBTRACTED from INDICATED ALTITUDE

8000 feet INDICATED ALTITUDE - 15 feet = 7985 feet ACTUAL ALTITUDE

OR

8015 feet INDICATED ALTITUDE - 15 feet = 8000 feet ACTUAL ALTITUDE

Further Examples

1. With an IAS of 220 kts, FL200 with 0% flap what is the Actual altitude?2. With an IAS of 140kts at FL090 with 40% flap, what is the Actual altitude?3. With an IAS of 110kts at FL280 with 0% flap what is the Actual altitude?

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INDICATED OUTSIDE AIR TEMPERATURE

Using graph on page 5-18, find the IOAT by subtracting the correction figure from your OAT. Enter with CAS and Pressure altitude.

Example

The aircraft is slogging along at FL330 at 195kt in ISA, the OAT is?

STALL SPEED

Use the graph on page 5-29, enter with weight, flaps and angle of bank to get the Vs in either IAS or CAS.

PRESSURISATION CONTROL SETTINGS

Using the graph on page 5-106, you can attain the Cabin altitude setting for landing (if destination is not at MSL). Work through the following examples to get used to the chart.

REMEMBER to convert QNH in hectopascals to Inches of Mercury.

1. An aircraft is landing at and aerodrome that has a QNH of 1010hpa and an elevation of 5500ft amsl, what should the cabin pressure controller be set to?

2. An aircraft is planning a descent to arrive at an aerodrome that is 6400ft amsl, and the tower has advised that the QFE is 810hPa, what should the cabin controller be set to?

3. An aircraft is planning to arrive at an aerodrome that has a pressure height of –500ft, what should the controller be set to?

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CHAPTER 4

FLIGHT GRAPHS

TAKE - OFF GRAPHS

Take-Off graphs are entered with PRESSURE ALTITUDE and TEMPERATURE. If Airfield Elevation is given with QNH, then Pressure Altitude must be calculated before entering the graph.

TAKE - OFF DISTANCE - FLAPS 0 % GRAPH 5 - 34TAKE - OFF DISTANCE - FLAPS 40 % GRAPH 5 - 38

If Aircraft Weight is given and the Take-Off Distance or Ground Roll is required

1 Enter with Temperature, move vertically to Pressure Altitude.

2. From this point move horizontally to the Aircraft Weight reference line which is 12 500 Lbs. If the Aircraft weight is 12 500 Lbs, continue horizontally to the next reference line. If the Aircraft Weight is less than 12 500 Lbs move down the slope to the Aircraft Weight given in the question.

3. From this point move horizontally to the Wind Component reference line. Move down the slope for a Headwind Component, move up the slope for a Tailwind Component, then horizontally to the next reference line.

4. If the question requires the Take-Off Distance move up the slope to the end of the graph.

5. If the question requires the Take-Off Ground Roll continue horizontally to the end of the graph.

If the Runway Length is given and the Maximum Take-Off Weight is required

1. Enter with Temperature, move vertically to Pressure Altitude.

2. From this point move horizontally to the Aircraft Weight reference line which is 12 500 Lbs. Draw a line down the slope to 9000 Lbs.

3. Enter the right hand side of the graph with Runway Length. Move down the slope to the reference line. Move horizontally to the Wind Component, move up the slope to the reference line for a Headwind or down the slope to the reference line for a Tailwind.

4. From the Wind Component reference line move horizontally to intersect the line previously drawn. From the intersection move vertically and read off the Aircraft Weight.

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EXAMPLES

1. If the aircraft flaps are U/S and the airfield you wish to depart from has the following actual conditions:

QNH 1010hpaOAT 16CAirfield ht 3030ft amslAircraft weight 10 980lbsWind component 350/30Runway 18/36

What is the Take Off Distance Required, and the speed for the take off?

2. If the Captain requests you to do a 40% flap takeoff what will be the Max Take Off Weight under the following conditions:

QNH 998hpaOAT +2CPressure ht 5000ftWind component 5 TW (one way airstrip)Runway 09/27Take off dist avail. 765m

3. If the aircraft is to make a 0% flap take off under the following conditions what will be the Take Off Distance Required?

QNH 998hpaOAT Air temp gauge U/SDensity height 1450ftWind component 150/22Runway 01/19Take off weight 11 800 lbs

4. The aircraft is to make a take off from a airfield under the following conditions, find the Max Take Off Weight?

QFE 900hpaOAT +20CElevation 3230ftWind component 090/20Runway 18/36Take off dist avail. 1070mFlap 0%

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ACCELERATE - STOP GRAPHS 5 - 35 and 5 - 39

The graphs are similar to the Take-Off graphs.

If a Runway has STOPWAY it may be used with these graphs.

1. Find the Accelerate Stop Distance Required under the following conditions….

Flaps 40%QNH 985hpaOAT +20CElevation 1000ftWind component 250/18Runway 09/27Aircraft take off wt 10 220lbs

2. Find the Accelerate Stop Distance and V1 speed under the following conditions….

Flaps U/SQNH 1012hpaOAT +2CElevation 2910ftWind component 010/19Runway 15/33Aircraft take off wt 11 400lbs

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ACCELERATE - GO GRAPHS 5 - 36 and 5 - 40

The graphs are similar to the Take-Off graphs.

If a Runway has CLEARWAY it may be used with these graphs. Refer to the note above the graph:-

Useable CLEARWAY cannot exceed 25 % of the Runway Length.

1. Find the accelerate-go distance and V speeds for a take off under the following conditions:

Flaps 40%

QNH 1012hpa

OAT +2CDensity height 2500ftWind component 025/25Runway 16/34Aircraft take off wt 12 000lbs

2. Find the accelerate go distance with ice vanes extended and the V speeds for a take off under the following conditions:

Flaps 0%QNH 1000hpaOAT +21CElevation 500ftWind component vrb/10Runway 18/36Aircraft take off wt 10 800

MINIMUM TAKE OFF POWER

Use graphs on pages 5-31 and 5-32..CAUTION 2 GRAPHS- one with ice vanes extended and one without.

Example 1

With an aerodrome that has a pressure height of 6500ft and OAT of +15C what is the minimum take off power that could be used with ice vanes retracted?

Example 2

With an aerodrome that has a elevation of 2860ft amsl, a QNH of 995hPa and a temperature of +22C find the minimum power that could be used for take off with ice vanes extended?

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CLIMB – TIME – FUEL - DISTANCE TO CLIMB GRAPH 5 - 45

Example 1 Climb from Sea Level (OAT +15C) to FL260 (OAT -10C) Aircraft Weight 12 500 Lbs

Time 25 mins Fuel 275 Lbs Distance 80 nm

Example 2 Climb from 5430ft (OAT +28C) to FL260 (OAT -10C) Aircraft Weight 12 500 Lbs

Sea Level to FL260 Time 25 mins Fuel 275 Lbs Distance 80 nmSea Level to 5430 ft Time 3 mins Fuel 45 Lbs Distance 11 nm

5430 ft to FL260 Time 22 mins Fuel 230 Lbs Distance 69 nm

Mean Climb TAS Time 22 mins Distance 69 nm TAS 188 Kts

Examples

1. Find the fuel, time and distance to climb from a sea level ISA aerodrome to FL300, where the temperature is –30C at Max Take Off Weight.

2. Find the time, fuel, distance and average climb speed to climb from the following aerodrome to altitude of 23 000ft where the OAT is predicted to be –15C

Aircraft config. Ice vanes extendedAircraft weight 10 000lbsQNH 995hpaOAT +21CElevation 1750ft amsl

3. Find the time, fuel and distance to climb to a density height of 25 000ft under the following conditions from the given aerodrome:

Aircraft config. Ice vanes retractedAircraft weight 12 000lbsQNH 1020hpaOAT +15CElevation 3130ft amslWind at aerodrome 045/20Wind at 25 000ft 075/105Track 060 M

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RATE & ANGLE OF CLIMB

ANGLE OF CLIMB

To work out the aircrafts angle of climb, or climb gradient, use the following formula:

CLIMB GRADIENT = HEIGHT GAINED DISTANCE TRAVELLED

Therefore is you have gained 550ft of altitude and distance from takeoff from your GPS reads 8000ft, use the formula to find your climb gradient…

550= 8000

= 0.069

To get a % multiply by 100 therefore = 0.069 x 100 = 6.9%

In the cockpit this can be worked out easily by using the following pilots formula:

Angle of Climb= Rate of Climb (fpm) Speed (kt)

Example 1

An aircraft climbs out from a sea level aerodrome under ISA conditions with IAS of 80kts, HWC 20kt and ROC 550ft/min. Estimate the angle of climb.

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CRUISE

CONSTANT POWER/SPEED CRUISE TABLES

The tables are based on Temperature Deviation from ISA. If OAT is given in a question calculate the ISA + or ISA - value.

TAS To calculate TAS for a particular question it is often necessary to interpolate.

Example 1.

Recommended Cruise Power Page 5 – 55ISA +20C FL230 Aircraft Weight 11 600 Lbs

12 000 Lbs 11 600 Lbs 11 000 LbsFL 220 TAS 267 TAS 271FL 230 TAS 265.5 TAS 267.1 TAS 269.5FL 240 TAS 264 TAS 268

At FL230 the difference is 4 Kts per 1000 Lbs

4 Kts

1000 Lbs 400 Lbs = 1.6 Kts increase for 400 Lbs weight reduction from 12 000 Lbs

Example 2.

Recommended Cruise Power Pages 5 - 55 and 5 - 56

ISA +23C FL270 Aircraft Weight 11 000 Lbs

ISA + 20C ISA + 23C ISA + 30CFL 260 TAS 265 TAS 259FL 270 TAS 262.5 TAS 261 TAS 257FL 280 TAS 260 TAS 255

Difference 5.5 Kts ÷ 10 x 3C = 1.65 Kts decrease for 3C rise in temperature

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MAXIMUM EN-ROUTE WEIGHT GRAPH 5 - 24

The graph requires the QNH in Inches of Mercury. If the QNH is given in hectopascals then convert by ratio.

Given QNH 1023.7 hPaQNH 1023.7

Standard 1013.2 =

QNH 30.23 inches

Standard 29.92 inches

This graph calculates the maximum weight at which the aircraft can maintain the MINIMUM EN-ROUTE ALTITUDE in the event of an engine failure.

Enter with the Outside Air Temperature at the Minimum Enroute Altitude and move vertically to that altitude. Then move horizontally to the reference line that is standard pressure 29.92 inches of mercury. Move down the slope if pressure is lower than standard, or up the slope if pressure is higher. Then move horizontally to read off the MAXIMUM ENROUTE WEIGHT.

Max En-Route Weight In Class Example

1. If the OAT is +2C the min en-route altitude is 19 600ft and the QNH is 1010hpa what is the max en-route weight to maintain this level on one engine?

2. If the OAT is ISA +5C, and the altitude is FL210, the QNH is 995hpa what is the max en-route weight?

3. If the OAT is –28C, the altitude is FL150 and the QNH is 996hpa what is the max en-route weight?

RANGE PROFILE GRAPH 5 - 96

Enter with Flight Level, move horizontally to the relevant cruise power, extract TAS, move vertically to the range in Nautical Miles in Zero Wind or SAD (Still Air Distance).

Example:

The range of the EE-20 aircraft at FL 280 (Recommended Cruise Power) with a 35 Kt Headwind is :-

FL 280 TAS 272 at Recommended Cruise Power Range 1095 nm in Still Air

TAS 272 Still Air Distance 1095 nm Time 4.0257 Hours

WC 35 Kt Headwind

GS 237 x Time 4.0257 Hours = 954 nm Ground Nautical Miles

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ENDURANCE PROFILE GRAPH 5 - 97

The Endurance is expressed in Hours and decimals of an Hour. 4.2 Hours = 4 Hours 12 minutes

RECOMMENDED CRUISE POWER GRAPH 5 – 59 &FUEL FLOW AT RECOMMENDED CRUISE POWER GRAPH 5 - 60

The graphs are similar and are entered with INDICATED OUTSIDE AIR TEMPERATURE, that is the temperature as read off the temperature gauge in the aircraft which is affected by compressibility error, it OVERREADS.

If IOAT (Indicated Outside Air Temperature) is given, enter the graph with the IOAT, move vertically to the FL, then horizontally to the Torque Setting or the Fuel Flow.

If OAT (OUTSIDE AIR TEMPERATURE) is given, it is the true temperature (IOAT corrected for compressibility) and must be converted to a Temperature Deviation from ISA before the graph can be entered.

Example

At FL 240 the OAT is -21C, the Temperature Deviation from ISA is :-

ISA at Sea Level +15C FL 240 x 2/1000 ft - 48C (colder than sea level)

ISA at FL 240 - 33C OAT at FL 240 - 21C

Temperature Deviation ISA +12C

Enter the graphs with FL and ISA Temperature Deviation (diagonal lines, top right to bottom left) and move horizontally to Torque Setting or Fuel Flow.

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DISTANCE FLOWN PER UNIT OF FUEL USED OR FUEL USED FOR DISTANCE FLOWN

TAS (true airspeed)

TAS 240 Kts

In one hour an aircraft will fly 240 AIR NAUTICAL MILES (ANM)

SAD (still air distance)

TAS 240 Kts

In one hour an aircraft flies a STILL AIR DISTANCE (SAD) of 240 nm

FUEL FLOW (FF) The amount of fuel (Kilograms or Pounds) used in one hour.

Given: TAS 240 Kts Fuel Flow 750 Lbs/Hour

Then aircraft performance isTAS 240 Kts

Fuel Flow 750 Lbs / Hour = 0.32 ANM / LB

OR

Fuel Flow 750 Lbs / Hour

TAS 240 Kts = 3.125 LB / ANM

ANM/LB can be converted to LB/ANM on an electronic calculator by using the 1/X function.

WIND COMPONENT (WC)

Wind component is the difference between TAS and GROUNDSPEED (GS).

TAS 240 Kts WC -30 HW (Headwind) GS 210 Kts

TAS 240 Kts WC +30 TW (Tailwind) GS 270 Kts

GS GS 270 Kts In one hour an aircraft flies 270 GNM

Given: TAS 240 Kts WC +30 Kts TW GS 270 Kts Fuel Flow 750 Lbs/Hour

Then aircraft performance isGS 270 Kts

Fuel Flow 750 Lbs / Hour = 0.36 GNM / LB

OR

Fuel Flow 750 Lbs / Hour

GS 270 Kts = 2.7778 LB / GNM

When compiling a flight plan the most economical Flight Level should be selected by comparing LBS/GNM or GNM/LB.

THE MOST EFFICIENT FLIGHT LEVEL IS :

The littlest of the bigger numbersOr The biggest of the little numbers

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Example 1.

FL 180 TAS 276 Kts WC -20 HW FF 716 LB/Hour

FL 220 TAS 271 Kts WC -40 HW FF 622 LB/Hour

FL 260 TAS 262 Kts WC -60 HW FF 534 LB/Hour

The most economical FL is :-

Example 2.

An aircraft at FL 350, TAS 232 Kts, Fuel Flow 545 LBS/Hour has a performance of 0.355 GNM/LB.The Wind Component affecting the aircraft is :-

Example 3.

An aircraft flying at FL 310 at TAS 494 Kts obtains a performance of 46.06 ANM/1000 Kgs in Zero Wind conditions. At FL 350 the TAS is 484 Kts and the performance is 48.36 ANM/1000 Kgs. It will be less economical to cruise at FL 350 if the Head Wind component is greater than:-

Ans. TAS 484kts GS 48.36 anm/1000kg x 46.06gnm/1000kgs = 461kts GS

Therefore if TAS 484kts, GS 461kts, it’s a 23kt HW

If you are confused by the objective of this formula then work backwards through it by using a headwind of, say, 39kts.In doing so you will derive a poorer performance figure for FL 350.From an operational point of view you would then have to revert back to your original flight level at FL 310. What is the performance figure for FL 350 if the headwind should increase to the new value of 39kts?

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ONE ENGINE INOP TABLES

CLIMBING

Can the aircraft climb under the present weight and atmospheric conditions should be considered prior to any flight. Use graph 5-46 to find out if you can climb on one engine.

To Use the graph you need:

1. OAT2. Pressure altitude3. Weight4. Climb gradient required to overcome the obstacles.

Example 1

An aircraft has a weight of 11 500lbs, and is taking off from an airport that has a pressure height of 4500ft and an OAT of +25C, what is the rate of climb on one engine and the climb gradient achieved?

Example 2

An aircraft is at FL200, the OAT is -10C and the aircraft weight is 12 250lbs, what is the ROC?

SERVICE CEILING ONE ENGINE

Here you are asking yourself can you maintain altitude to remain whether airspace restrictions, or to maintain the Lowest Route Altitude. To answer this, use graph 5-47.

Example 1

An aircraft is at FL180 and suffers an engine failure, the weight at the time is 10 500lbs, and the OAT is -22C. Can the aircraft maintain this FL, if not what is the Flight Level that the aircraft can maintain at this weight and temperature?

Example 2

An aircraft has a MZW of 11000lbs and the forecast temperature at the Lowest Sector Altitude is -5C, and due to forecast icing the ice vanes must be extended. What is the service ceiling of the aircraft on one engine?

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MAX CRUISE POWER ON ONE ENGINE

To make sure you don’t blow up an engine, there is a table on 5-99 onwards to attain the maximum cruise power setting when on one engine. NOTE the tables are differentiated by the ISA deviation.

Example 1

An aircraft is cruising on one engine at FL100, the OAT is +15C the aircraft weight is 11 000lbs, what is the maximum cruise power setting?

Example 2

An aircraft is at FL140, the OAT is -23C the aircraft weight is 10 500lbs, the ice vanes are extended, what is the maximum cruise power setting on the live engine and the fuel flow?

CRUISE POWER SETTINGS

Power setting in a King Air 200 is not automatic, there are tables to attain the correct power setting. The graphs to use are located on pages 5-51 onwards and like all power setting tables differentiate with ISA deviation.

Example 1

An aircraft is to cruise at FL 220, the OAT is –19C the weight is 11 000lbs, what is the power setting, fuel flow total and TAS?

Example 2

An aircraft is to cruise at FL180, the EMZW is 10 500lbs, the following sector forecast is given, what is the power setting, fuel flow total and TAS? (using graphs 5-52 & 5-53)

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24 300 60 -2421 295 60 -2518 300 55 -2415 300 55 -1210 310 50 -1

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DESCENT PLANNING

TIME - FUEL - DISTANCE TO DESCEND GRAPH 5 - 109

Similar to the Climb Graph

1. An aircraft is to descend at Mmo, from FL245 to a sea level aerodrome what is the Time, Distance and Fuel that would be used?

2. An aircraft is planning a descent from FL180 to arrive in the circuit area 1000ft agl, over its destination aerodrome that is 3560ft amsl, what will be the time, fuel and distance for this descent?

3. An aircraft is required, due to traffic, to descend overhead Kathmandu, it is currently at FL280, and is required to descend to FL145 to maintain separation. How many NM and minutes before Kathmandu must the descent be started and how much fuel can be expected to be consumed?

FUEL

Remember the quantities the aircraft can carry:

RESERVE FUEL

As per the EE20 manual reserve fuel is calculated as 45 minutes at the cruise fuel setting calculated at the weight at the end of the cruise, i.e. Top Of Descent (TOD) weight.

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HOLDING FUEL

HOLDING TIME GRAPH 5 - 107

1 Hour Holding at 15 000 ft = 420 Lbs of Fuel

If ICE VANES EXTENDED then holding time reduced by 15 %

Example 1 420 Lbs of Fuel = 60 mins Ice Vanes Retracted 15 % reduction = 9 mins

420 Lbs of Fuel = 51 mins Ice Vanes Extended

Example 2 Fuel for 1 Hour Holding with Ice Vanes Extended ?

1 Hour = 420 Lbs = 85 % Then 100 % = 420 Lbs

0.85 = 494 Lbs of Fuel

Check 494 Lbs - 15% (74 Lbs) = 420 Lbs

Further examples

1. An aircraft has the ice vanes retracted and is told it is expected to hold for 75 minutes for a slot time to land, the hold will be conducted at FL130, how much fuel will be consumed?

2. An aircraft is in IMC and has the Ice vanes extended and is placed in a holding pattern at FL200, the aircraft has 420lbs available for holding, how long can it remains in this holding pattern?

3. An aircraft is expected to hold to await the opening of an airport which occurs at first light (0320UTC), the aircraft is expected to arrive at the intersection it will hold at, at 0715 LMT (UTC +6), how much fuel will be consumed during the hold at 5000ft?

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LANDING

LANDING DISTANCE FLAPS 100 % GRAPH 5 – 110

LANDING DISTANCE FLAPS 100 % PROPELLER REVERSING GRAPH 5 - 112

Both graphs give landing performance and are similar to the take-off graphs.

LANDING DISTANCE FLAPS 0 % PROPELLER REVERSING GRAPH 5 - 113

Landing with full (100 %) flap is normal procedure, but it may be necessary to land with flaps up (0 %).

To determine the flaps up landing distance, use graph 5-112 the landing distance with propeller reversing, flaps 100 %, then enter graph 5-113 with this distance and read of landing distance flaps up

EXAMPLES1. Find landing distance (both ground roll and over 50ft obstacle) under the following

conditions:

Aerodrome elevation 2600ft amslQNH 1010hpaTemp 22CAircraft weight 11 200lbsWind component 5kt HWProps Reverse engagedFlaps 100%

2. Find the landing distances for a landing under the following conditions:

Aerodrome elevation 1220ft amslQNH 996hpaTemp -15CWeight ….?Wind comp 280/35Runway 15/33Props Reverse not allowed due runway surfaceFlaps 100%Runway length 1770m

3. Find the landing distance over a 50ft obstacle, and approach speed under the following conditions:

Aerodrome elevation 2000ftQNH 1013 hpaTemp 40CWeight 11 800lbsWind comp 110/20Runway 09/27Props Reverse engagedFlaps U/S

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QUESTIONS

1. FL 220 TAS 267 Kts WC -20 Kts HW FF 592 LB/HourFL 260 TAS 259 Kts WC -40 Kts HW FF 512 LB/HourFL 310 TAS 232 Kts WC -60 Kts HW FF 422 LB/Hour

The most economical FL is :-

(a) FL 220(b) FL 260(c) FL 310

2. An aircraft flying at FL 350 at TAS 495 Kts obtains a performance of 97.3 ANM/1000 Kgs in Zero Wind conditions. At FL 390 the TAS is 474 Kts and the performance is 102.9 ANM/1000 kg.

It will be less economical to cruise at FL 390 if the Head Wind component is greater than :-

(a) 26 Kts HW (b) 36 Kts HW(c) 46 Kts HW

3. An aircraft at FL 310 has a TAS of 485 Kts and Fuel Flow of 11 750 Lbs/Hour.If aircraft performance is 36.59 GNM/1000 Lb the Wind Component affecting the aircraft is:-

(a) 35 Kts HW(b) 45 Kts HW(c) 55 Kts HW

4. The following figures relate to a Flight Plan

SECTOR TAS WC GS DIST TIME

A to TOC 300 -35 265 110 0 : 25

TOC to B 495 -52 443 318 0 : 43

B to C 488 -67 421 561 1 : 20

C to TOD 476 -88 388 672 1 : 44

TOD to D 300 -30 270 90 0 : 20

1751 4 : 32

The average Wind Component for the flight is :-

(a) 54 Kts HW(b) 60 Kts HW(c) 67 Kts HW

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5. FL 240 TAS 264 Kts WC +30 Kts TW FF 552 LB/HourFL 280 TAS 253 Kts WC +40 Kts TW FF 476 LB/HourFL 310 TAS 232 Kts WC +50 Kts TW FF 386 LB/Hour

The most economical FL is :-

(a) FL 240(b) FL 280(c) FL 310

6. Airfield Pressure Altitude 5700ft, Temperature +30C. According to graph 5-23 the Maximum Take-Off Weight is :-

(a) 12 500 Lbs(b) 12 200 Lbs (b) 11 900 Lbs

7. Airfield Pressure Altitude 6200ft, Temperature +25C, According to graph 5-23 the Maximum Take-Off Weight is :-

(a) 12 500 Lbs(b) 12 300 Lbs(c) 12 100 Lbs

8. For a flight from A to B the Minimum Enroute Altitude is 20 000ft. The temperature at FL 200 is -15C and the area QNH is 30.50 inches. The fuel used to the high ground is 450 Lbs.

The Maximum Take-Off Weight for the flight according to graph 5-24 is :-

(a) 11 950 Lbs(b) 12 150 Lbs(c) 12 400 Lbs

9. For a flight from C to D the Minimum Enroute Altitude is 19 000ft. The temperature at FL 190 is -11C and the area QNH is 29.20 inches. If the fuel used to the high ground is 650 Lbs the Maximum Take-Off Weight for the flight (graph 5-24) is :-

(a) 11 900 Lbs(b) 12 200 Lbs(c) 12 500 Lbs

10. An obstacle 1400ft amsl is 5nm from reference zero of a runway whose elevation is 350ft. According to graph 5-28 the Minimum Climb Gradient required is :-

(a) 4.6%(b) 3.8%(c) 3.2%

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11. Airfield Pressure Altitude 5000ft, Temperature 20C. According to graph 5-31the Minimum Take-Off Power required is :-

(a) 2060 Ft/Lbs(b) 2110 Ft/Lbs(c) 2160 Ft/Lbs

12. Airfield Pressure Altitude 3500ft, Temperature 26C. According to graph 5-31the Minimum Take-Off Power required is :-

(a) 2050 Ft/Lbs(b) 2100 Ft/Lbs(c) 2150 Ft/Lbs

13. Airfield Pressure Altitude 1000ft, Temperature 32C. According to graph 5-31the Minimum Take-Off Power required is :-

(a) 2060 Ft/Lbs(b) 2110 Ft/Lbs(c) 2165 Ft/Lbs

14. Airfield Pressure Altitude 5000ft, Temperature 15C, Flaps 0%,.Take-Off Mass 11 000 Lbs, Wind Component 15 Kts Headwind.

According to graph 5-34 the Take-Off Distance required is :-

(a) 2000 ft(b) 2850 ft(c) 3450 ft

15. Airfield Pressure Altitude 2000 ft, Temperature 24C, Flaps 0%,

Take-Off Weight 11 600 Lbs, Wind Component 5 Kts Tailwind.

According to graph 5-34 the Take-Off Ground Roll is :-

(a) 2000 ft(b) 2300 ft(c) 3900 ft

16. A Take-Off is planned from a 4000 ft runway with 1500 ft of clearway available.Pressure Altitude 4500 ft, OAT 25C, Headwind 12 Kts, Flaps 0%.

Using graph 5-36 the Maximum Weight at which this Accelerate-Go distance can be used is :-

(a) 10 000 Lbs(b) 10 500 Lbs(c) 11 000 Lbs

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17. Airfield Pressure Altitude 4000ft, OAT 24C, Aircraft Mass 11 500 Lbs.According to graph 5-37 the net gradient of climb is :-

(a) 3.4 %(b) 3.9 %(c) 4.4 %

18. Airfield Pressure Altitude 5000ft, OAT 26C, Assuming that there is no runway limitation but a 3.2 % net gradient of climb is required, using graph 5-37the Maximum Take-Off Mass is :-

(a) 11 500 Lbs(b) 12 100 Lbs(c) 12 500 Lbs

19. Airfield Pressure Altitude 4500ft, OAT 18C, Flaps 40 %, 10 Kt Headwind,Take-Off Mass 11 100 Lbs.

According to graph 5-39 the Accelerate-Stop Distance is :-

(a) 3700 ft (b) 4000 ft (c) 4400 ft

20. Airfield Pressure Altitude 3000ft, Temperature 25C, Wind Component 5Kt Tailwind,

Take-Off Mass 11 400 Lbs.

According to graph 5-39 the Accelerate-Stop Distance is :-

(a) 3800 ft(b) 4000 ft(c) 4300 ft

21. A Take-Off is planned from a 4500 ft runway with 2000 ft of clearway available.Pressure Altitude 5000 ft, OAT 23C, Headwind 15 Kt, Flaps 40 %.

Using graph 5-40 the Maximum Mass for which this Accelerate-Go distance can be used is :-

(a) 11 100 Lbs(b) 11 600 Lbs(c) 12 100 Lbs

22. Climbing from 4500ft, OAT +30°C to FL 290, OAT -23°C,Take-Off Mass 12 500 Lbs.

According to graph 5-45 the Time, Fuel used and Distance flown are :-

(a) 27 minutes 258 Lbs 90 nm(b) 24 minutes 285 Lbs 80 nm(c) 27 minutes 285 Lbs 90 nm

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23. Climbing from 5500ft, OAT 24C to FL 280, OAT -32C, Take-Off Mass 12 000 Lbs. According to graph 5-45 the Time, Fuel used and Distance flown are :-

(a) 18 minutes 202 Lbs 59 nm(b) 19 minutes 230 Lbs 58 nm(c) 18 minutes 242 Lbs 60 nm

24. Climbing from 4000ft, OAT 26C to FL 260, OAT -24C,Take-Off Mass 12 500 Lbs.According to graph 5-45 the mean TAS on the climb is :-

(a) 160 Kts (b) 190 Kts (c) 225 Kts

25. The temperature at the Minimum Enroute Altitude is -27C. If the aircraft mass is

11 700 Lbs the Service Ceiling according to graph 5-47 is :-

(a) 19 000 ft(b) 21 000 ft(c) 23 000 ft

26. Cruising at FL 260, Indicated OAT -25C, the recommended cruise power according to graph 5-59 is :-

(a) 1450 Ft/Lbs(b) 1500 Ft/Lbs(c) 1550 Ft/Lbs

27. Cruising at FL 270, OAT -24C, the recommended cruise power according to graph 5-59 is:-

(a) 1420 Ft/Lbs(b) 1370 Ft/Lbs(c) 1320 Ft/Lbs

28. Cruising at FL 230, OAT -23C, the recommended cruise power according to graph 5-59 is:-

(a) 1730 Ft/Lbs(b) 1780 Ft/Lbs(c) 1675 Ft/Lbs

29. Cruising at FL 210, IOAT -17C, the Fuel Flow according to graph 5-60 is

(a) 606 Lbs/hour(b) 630 Lbs/hour

(c) 660 Lbs/hour

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30. Cruising at FL 250, Temperature ISA +10C, the Fuel Flow according to graph 5-60 is :-

(a) 556 Lbs/hour(b) 565 Lbs/hour

(c) 656 Lbs/hour

31. Cruising at FL 270, OAT -24C, the Fuel Flow per engine according to graph 5-60 is:-

(a) 285 Lbs/hour (b) 258 Lbs/hour (c) 252 Lbs/hour 32. Enroute from WPT 2 to WPT 3 at FL 190, Temperature ISA +20 C, Distance 247 nm,

35 Kts Headwind, Aircraft Mass 11 000 Lbs.The fuel used for the sector according to table 5-55 is :-

(a) 678 Lbs (b) 694 Lbs (c) 717 Lbs 33. Enroute from WPT 3 to WPT 4 at FL 270, Temperature ISA +10 C, Distance 329 nm,

25 Kts Tailwind, Aircraft Mass 11 500 Lbs.

The fuel used on this sector according to table 5-54 is :-

(a) 567 Lbs (b) 589 Lbs (c) 615 Lbs

34. Enroute from WPT 4 to WPT 5 at FL 200, Temperature ISA +15 C, Distance 450 nm, 30 Kts Headwind, Aircraft Mass 11 000 Lbs.

The fuel used on the sector according to tables 5-54 and 5-55 is :-

(a) 1147 Lbs (b) 1172 Lbs (c) 1194 Lbs

35. Enroute from WPT 5 to WPT 6 at FL 190, Temperature ISA +10C, Distance 212 nm, 25 Kts Tailwind, Aircraft Mass 10 500 Lbs.

The fuel used on the sector according to table 5-90 is :-

(a) 358 Lbs (b) 387 Lbs (c) 405 Lbs

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36. The range of the EE-20 aeroplane at FL 240 with a 35 Kt Headwind flying at the recommended cruise power (graph 5-96) is:-

(a) 852 nm (b) 909 nm (c) 975 nm

37. The range of the EE-20 aeroplane at FL 280 with a 40 Kt Tailwind flying at the recommended cruise power (graph 5-96) is:-

(a) 1090 nm (b) 1175 nm (c) 1250 nm

38. The range of the EE-20 aeroplane at FL 260 with a 25 Kt Headwind flying at the recommended cruise power (graph 5-96) is:-

(a) 942 nm (b) 985 nm (c) 1035 nm

39. The endurance of the EE-20 aeroplane at FL 240 flying at the recommended cruise power (graph 5-97) is:-

(a) 3 hours 39 mins (b) 3 hours 48 mins (c) 3 hours 57 mins

40. The endurance of the EE-20 aeroplane at FL 290 flying at maximum cruise power graph 5-97 is

(a) 4 hours 12 mins(b) 4 hours 20 mins(c) 4 hours 29 mins

41. For a landing at an airfield at sea level (QNH 1009.2) the pressurization controller setting for landing (graph 5-106) is:-

(a) 0ft (b) 300ft (c) 600ft

42. For a landing at an airfield (elevation 4000ft, QNH 1020 hPa) the pressurization controller setting for landing (graph 5-106) is :-

(a) 3800ft (b) 4200ft (c) 500ft

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43. 400 Lbs of fuel is available for holding at FL 150. If the ice vanes are extended the holding time according to graph 5-107 is:-

(a) 0.52 mins (b) 31 mins (c) 52 mins

44. The fuel required for 45 minutes holding at FL 150 with the ice vanes extended (graph 5-107) is

(a) 305 Lbs (b) 335 Lbs (c) 365 Lbs

45. Pressure Altitude 3000ft, OAT 25C, Aircraft mass 10 200 Lbs.The landing distance with a 14 Kt Headwind (graph 5-112) is :-

(a) 1050ft (b) 1450t

(c) 1900ft(d)

46. Pressure Altitude 5500ft, OAT 29C, Aircraft mass 10 200 Lbs.The landing ground roll with a 5 Kt Tailwind and 100% flap (graph 5-112) is:-

(a) 1200ft (b) 1400ft (c) 1600t

47. Pressure Altitude 5500ft, OAT 29C, Aircraft mass 10 200 Lbs. The landing distance with zero flap, propeller reversing and a 5 Kt Tailwind (graphs 5-112 and 5-113) is:-

(a) 1900ft (b) 2600ft (c) 3200ft

48. An obstacle 1200 ft amsl is 3nm from reference zero of a runway whose elevation is 600ft. According to graph 5-28 the Minimum Climb Gradient required is:-

(a) 3.1% (b) 4.7% (c) 6.4%

49. An obstacle 240 ft above runway elevation is 1700 metres from reference zero.According to graph 5-28 the minimum Climb gradient required is:-

(a) 2.9% (b) 3.7% (c) 4.6%

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CHAPTER 5

WEIGHT AND BALANCE

AIRCRAFT WEIGHT SCHEDULE

In the process of compiling a flight plan for an aircraft, the weight schedule must be consulted to ensure that certain weight limitations are not exceeded. In later chapters, balance limitations (location of the C of G) will also be considered. The weight schedule given below is the ideal and complete one, although certain operators may elect to combine items in order to abbreviate the process.

AIRCRAFT EMPTY WEIGHT (AEW)

+ OIL AND UNUSABLE FUEL

= BASIC EMPTY WEIGHT (BEW)

+ CREW AND CATERING

= OPERATING EMPTY WEIGHT (OEW)

+ PAYLOAD

= ZERO FUEL WEIGHT (ZFW)

+ TOTAL FUEL

= RAMP OR TAXI WEIGHT

- TAXI FUEL

= TAKE OFF WEIGHT

- TRIP FUEL OR BURN OFF

= LANDING WEIGHT

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AIRCRAFT EMPTY WEIGHT (AEW)

Consists of the airframe, engines, and all items of operating equipment that have fixed locations and are permanently installed in the aircraft.

OIL AND UNUSABLE FUEL

This includes engine oil, hydraulic fluid and undrainable fuel (Piper Cherokee 2 Galls, B-747 1600 Kg)

BASIC EMPTY WEIGHT (BEW)

The Empty Weight of the aircraft plus oil, hydraulic fluid and unusable fuel.

CREW AND CATERING

Operating crew, cabin staff and catering.

OPERATING EMPTY WEIGHT (OEW)

The weight of the aircraft, including the crew, ready for flight but without payload and fuel.

MAXIMUM ZERO FUEL WEIGHT (MZFW)

The maximum weight authorized for the aircraft not including the fuel load.Zero fuel weight is the operating empty weight (OEW) plus the payload.

MAXIMUM RAMP WEIGHT

The maximum structural take-off weight plus the fuel to be burned during taxi and run-up.

MAXIMUM TAKE-OFF WEIGHT (MTOW)

The maximum structural weight at the start of the take-off run. The take-off weight for a particular flight may be limited to a lesser weight when runway length, atmospheric conditions, or other variables are adverse.

TRIP FUEL OR BURN OFF

The fuel used from the point of departure to the destination. Reserve fuel is not included in the trip fuel and the entire fuel reserves are expected to be on board the aircraft at the point of first intended landing.

MAXIMUM LANDING WEIGHT

The maximum structural weight at which an aircraft may normally be landed. The landing weight may be limited to a lesser weight when runway length or atmospheric conditions are adverse.

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CALCULATION OF MAXIMUM PAYLOAD

Assuming that there are no airfield restrictions, the maximum payload that may be carried on a flight will be limited by :-

MAXIMUM TAKE-OFF WEIGHTMAXIMUM LANDING WEIGHTMAXIMUM ZERO FUEL WEIGHT

Example:Max Ramp weight 89 700kgBasic Weight 47 000kgMax Brakes release weight 89 350kgMax Landing weight 72 600kgMax Zero Fuel weight 63 500kgTrip fuel 12 462kgReserve fuel 4 680kg

The Maximum Payload is:-

Least of 3 method

Find the least of: Max Take off weight Max Landing weight + Flight FuelMax Zero Fuel Weight +Fuel on board

Step 1Calculate fuel at Brakes release….

Trip fuel 12 462kgReserve fuel 4680kgFUEL ON BOARD 17 142kg

Step 2

Calculate the 3 limitations…..

MTOW 89 350kgMLW+trip fuel 85 062kg (72600+12462)MZFW+fob 80 642kg (63500+17142)

Step 3

In this case the payload would be:

MZFW 63 500kg- Basic weight 47 000PAYLOAD 16 500kg

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NOW….

If it was the TOW that was found to be the lowest you would:

Max Take off weight- Fuel on board - Basic weight PAYLOAD

If it was the LW that was the limiting factor then:

Landing weight- Reserve fuel- Basic weight PAYLOAD

HUMIDITY

Humidity and air density are inversely proportional. The greater the humidity, the less the air density. Piston engine aircraft performance is adversely affected by humidity to the extent where maximum take-off weight may be limited. The effect of humidity on jet engine performance, however, is negligible.

FLAPS

The effect of flaps on maximum take-off weight varies from aircraft to aircraft and from flap setting to flap setting. Factors to be considered are not only the effect of flaps on the take-off run, but also on the initial climb performance after take-off. A definitive answer on the effect of flaps on an aircraft's maximum take-off weight would be extracted from the appropriate performance graphs.

In conclusion, all of the above mentioned factors may limit an aircraft's maximum take-off weight and it is the most limiting case, which will determine the aircraft's actual take-off weight.

MAXIMUM FLOOR LOAD

Maximum floor load is an indication of the physical bearing strength of the aircraft's floor, normally in the cargo or baggage area. It is an expression of the maximum weight that can be borne per surface area. Because maximum floor load is derived by weight per area, the height of any object to be loaded is of no consequence. In most load calculations, the maximum floor load of the aircraft is given. The pilot must calculate the area of the object to be loaded and its weight, to check whether it may be loaded. To calculate the area of a rectangular or square object, use the formula:

AREA = LENGTH x BREADTH

To calculate the area of a circular object, for example a barrel, use the formula:

AREA = p r ² Where r = the radius of the circular object.

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SPECIFIC GRAVITY (SG)

Specific gravity is a method of converting a volume of liquid to a weight of liquid or vice versa.

The formula for specific gravity is: VOLUME x SG = WEIGHT

The standard used for specific gravity is water (SG 1)

1 litre of water has a weight of 1 Kg. 1 Imperial Gallon of water has a weight of 10 lbs.

If the SG of fuel is 0.82 then:-

1 litre of fuel has a weight of 0.82 Kg 1 Imperial Gallon of fuel has a weight of 8.2 Lbs

Specific Gravity cannot be applied directly to US Gallons.

NOTE: US Gallons must be converted to Litres or Imperial Gallons before Specific Gravity can be applied.

SPECIFIC WEIGHT

Specific weight serves much the same function as specific gravity but applies to US Gallons only. It is a statement (Specific Weight 6.6 Lbs) and means that 1 US Gallon of fuel weighs 6.6 Lbs

EXAMPLE :The specific weight of fuel is 6.6 Lbs per US gallon. How much does 450 US gallons of fuel weigh?

450 US gal x 6.6 = 2970 Lbs

BALANCE, CENTRE OF GRAVITY

Balance refers to the location of the CG (Centre of Gravity) of an aircraft. It is of primary importance to aircraft stability and safety in flight. Pilots should never fly an aircraft if they are not satisfied with its loading and the resulting weight and balance conditions. The CG is the point about which an aircraft would balance if it were possible to support the aircraft at that point. It is the mass centre of the aircraft, or the theoretical point at which the entire weight of the aircraft is assumed to be concentrated. The CG must be within specific limits for safe flight.

The CG is not necessarily a fixed point; its location depends on the distribution of items loaded in the aircraft. As variable load items are shifted there is a resultant shift in CG location. If the CG is displaced too far forward on the longitudinal axis, a nose heavy condition will result. Conversely, if the CG is displaced too far aft on the longitudinal axis, a tail-heavy condition will result. It is possible that an unfavourable location of the CG could produce such an unstable condition that the aircraft becomes very difficult to control.

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40 inches 40 inches

15 Lbs 15 Lbs

Fulcrum (CG)

In the above sketch two weights of 15 Lbs each are 40 inches from the fulcrum. The weights are balanced. Mathematically 15 Lbs x 40 inches = 600 inch/Lbs on each side.

WEIGHT x ARM = MOMENT 15 Lbs x 40 inches = 600 inch/Lbs

REFERENCE DATUM

Every aircraft has a reference datum and it varies from aircraft type to aircraft type. Usually it is at or near the nose of the aircraft. It is the datum from which all horizontal distances are measured.

ARM

Arm is the horizontal distance (usually in inches) from the reference datum to the location of an object or position in the aircraft. Other terms are STATION (STA), FLIGHT STATION (FS) or CENTROID, e.g. Forward Hold at FS 220 means the Forward Hold is 220 inches aft of the datum.

MOMENT

Moment is the product of the weight of an item multiplied by its arm.

MOMENT INDEX or REDUCTION FACTOR

Moment Index or Reduction Factor is a moment divided by a constant such as 100, 1 000 or 10 000. The purpose of using a moment index or reduction factor is to simplify weight and balance computations of large aircraft where heavy items and long arms result in large, unmanageable numbers

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In class example using the graphs at the end of the EE-20 manual.

EXAMPLE 1

Aircraft load:EW 8087lbs 15041.00 IUPilot + Co-pilot 165kgPassenger weights 65,86,95,112,45kgBaggage weight 89kgCatering on board 45kg in foyer cabinetFuel on board at s/up 300usg (6.6SW)Flight fuel 185usg

Finda. TOW and position of CoGb. ZFW and position of CoG

STEP 1

Complete the table, loading front to rear…UNTIL you get to ZFW, then check it is in balance.

ITEM Weight Arm Index Units/100

EW 8087 15041.00CREW 363 129.0 468.27ROW 1 455 176.0 800.80ROW 2 332 215.0 713.8ROW 3 99 259.0 256.41LAV SEAT 292AFT CABIN 196 325 637.00CABINET (Foyer) 99 284 281.16ZFW(10400 MAX) 9631 18198.44 FUEL TOW(12500 MAX)

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STEP 2

Now add the fuel to check the weight and CoG at TOW…

ITEM Weight Arm Index Units/100EW 8087 15041.00CREW 363 129.0 468.27ROW 1 455 176.0 800.80ROW 2 332 215.0 713.8ROW 3 99 259.0 256.41LAV SEAT 292AFT CABIN 196 325 637.00CABINET (Foyer) 99 284 281.16ZFW(10400 MAX) 9631 18198.44 FUEL 1980 3631TOW(12500 MAX) 11611 21829.44

IN CLASS EXERCISES

Basic loading problems

1. Complete the load sheet ignoring CoG limitations for the following load find the CoG position for take off, and zero fuel weight (ignoring any limits):

EW 7900lbs Moment 14950 Pilots 155kgPax 88,45,75,77kgBaggage 132kgCatering 15kg (aft)FOB 335usg (6.7 SW)

2. Complete the load sheet and determine if the aircraft is in CoG at Take off..

EW 8122lbs Moment 15950 Pilots 175kgPax 99,65,55,88,45,75,77kgBaggage 185kgFOB 435usg (6.4 SW)

This can also be done graphically

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CALCULATION OF LANDING CG

The moment of the TRIP FUEL or BURN OFF cannot be read from the table directly as the arm of the fuel varies as the amount of the fuel in the tanks. The moment of the Trip Fuel can be calculated by subtracting the moment of the Landing Fuel from the moment of the Take-Off Fuel. A Load Sheet is not available in the exam and it is suggested that the following method be used.

NOTE: The moment of the fuel is given as MOMENT 100 which means the figure must be multiplied by 100 to give the full figure.

1. Start with the Take-Off condition of the aircraft.2. Subtract the Take-Off Fuel weight and moment.3. Add the Landing Fuel weight and moment.4. Calculate the Landing CG.

Example:

Take-Off Weight 12 500 Lbs,Take-Off Fuel 530 US Gallons (SW 6.6 Lbs/US G)Take-Off CG 191.3 inches Trip Fuel 300 US Gallons

WEIGHT ARM MOMENTTake-Off 12 500 191.3 2 391 250Take-Off Fuel (530 Gallons) -3 498 - 664 300Landing Fuel (530 - 300 Gallons) +1 518 + 277 000Landing 10 520 190.5 2 003 950 Further examples

1. Find the landing CoG position from the following:

Take off weight 12 223 lbsCoG arm at take off 193.2 inchesFuel on board at T/off 544usgFlight fuel 201usgFuel SW 6.7

2. Find the landing CoG position from the following:

Take off weight 9800lbsMoment index at t/off 15550Fuel on board at take off 350usgFlight fuel 85usgFuel SW 6.7

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MOVING CG

IF the CG is too far aft the pilot can…

1. Redistribute the load forward of the current CG by moving pax, or shifting baggage2. Add ballast forward3. Remove weight aft

IF the CG is too far forward, the pilot can….

1. Redistribute the load toward the rear2. Add ballast aft3. Remove weight forward

Weight to be shifted formula

Adding ballast formula

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Weight to be shifted = GW x (difference between desired CG & original CG) Distance between the 2 stations

Ballast to add = Original GW x (difference between desired CG & actual CG) Distance between loading station and desired CG

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CALCULATING CG POSITION AS A PERCENTAGE MAC

To find the position that the Cg is acting in reference to the Mean Aerodynamic Chord we use the following formula to calculate % MAC….

CG position as a % MAC = distance aft of MAC leading edge x 100 MAC 1

REFER PAGE 6-5 of the EE-20 manual for MAC figures.

Example 1

The Cg from the load sheet is found to be 192 inches aft of the datum (24000 x 100 12500)

Step 1.192 inches = (192 – 171.23”) 20.77” aft of the MAC leading edge

The position expressed as a % MAC is:

% MAC = 20.77” x 100 70.41 % MAC = 29.49% MAC

Example 2

The aircraft is found to be at 12 000lbs and the moment is 23100units, find the CG position as a % MAC.

Example 3

An aircraft is loaded so that its weight is 10 200lbs and the moment is 22222 units, find the CG position as a % MAC..

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QUESTION SET ONE1. Maximum Take-Off Mass 151 500 Kg

Maximum Landing Mass 112 000 KgMaximum Zero Fuel Mass 101 200 KgOperational Empty Mass 69 700 KgTrip Fuel 40 150 KgReserve Fuel 8 200 Kg

The maximum payload that may be carried is :-

(a) 31 500 Kg(b) 33 450 Kg(c) 35 250 Kg

2. Maximum Take-Off Mass 151 500 KgMaximum Landing Mass 97 500 KgMaximum Zero Fuel Mass 88 450 KgOperational Empty Mass 66 700 KgTrip Fuel 44 500 KgReserve Fuel 7 100 Kg

If the maximum payload is carried the Take-Off Weight is :-

(a) 142 000 Kg(b) 140 050 Kg(c) 151 000 Kg

3. Maximum Take-Off Mass 151 500 KgMaximum Landing Mass 107 000 KgMaximum Zero Fuel Mass 96 300 KgOperational Empty Mass 64 250 KgDistance A to B 2 850 nmGroundspeed 490 KtsFuel Flow 7 350 Kg/hourReserve Fuel 15% of Trip Fuel

The maximum payload that may be carried on this flight is :-

(a) 44 500 Kg(b) 36 337 Kg(c) 32 050 Kg

4. Maximum Take-Off Mass 151 500 KgMaximum Landing Mass 97 500 KgMaximum Zero Fuel Mass 88 450 KgOperational Empty Mass 66 870 KgTrip Fuel 45 300 KgReserve Fuel 12 240 Kg

The maximum payload that may be carried is :-

(a) 18 390 Kg(b) 17 280 Kg(c) 16 920 Kg

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5. The mass of 729 US Gallons of fuel at SG 0.78 is :-

(a) 2153 Kg(b) 2579 Kg(c) 3095 Kg

6. If 1250 Lbs of fuel at SG 0.812 are on board an aircraft, the amount of fuel in US Gallons is:-

(a) 128 US Gallons(b) 185 US Gallons(c) 122 US Gallons

7. The weight of 867 US Gallons of fuel (SG 0.78) is :-

(a) 8122 Lbs(b) 6253 Lbs(c) 5631 Lbs

8. The weight of 1292 Litres of fuel (SG 0.812) is :-

(a) 2313 Lbs(b) 2846 Lbs(c) 3508 Lbs

9. If 567 Kgs of fuel at SG 0.812 are on board an aircraft, the amount of fuel in US gallons is :-

(a) 161 US Gallons(b) 184 US Gallons(c) 201 US Gallons

10. An IFR flight is to be made from A to C with a stop at B. There is no fuel available at B.

A to B B to CTrip Fuel 2670 Kg 2295 KgAlternate Fuel 1040 Kg 995 KgHolding Fuel 620 Kg 620 Kg

The minimum fuel required at Take-Off from A is:-

(a) 6580 Kg(b) 7620 Kg(c) 8240 Kg

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QUESTION SET TWO

1. The weights measured at the landing gear of an aircraft are as follows:-

Nose wheel (55 inches aft of datum) 475 Lbs Right main wheel (121 inches aft of datum 1046 Lbs

Left main wheel (121 inches aft of datum) 1040 Lbs

The C of G of the aircraft is :-

(a) 104.6 inches (b) 106.4 inches (c) 108.8 inches

2. The C of G of an aircraft is 980 inches aft of datum at an all up mass of 170 500 Lbs. If 800 Lbs of baggage is moved from FS 1130 to FS 430 the new C of G will be :-

(a) 975.99 inches (b) 976.72 inches (c) 977.62 inches

3. Aircraft Mass 12 000 Lbs C of G 193 inches aft of datum

Aft C of G limit 196.3 inches aft of datum

The maximum mass that can be loaded at FS 325 without exceeding the aft C of G limit is :-

(a) 307 Lbs (b) 342 Lbs (c) 386 Lbs

4. A pallet 83 inches by 95 inches is to be loaded in a cargo aircraft. The floor load limit of the aircraft is 169 Lbs per square foot.If the pallet mass is 88 Lbs and the tie down equipment is 37 Lbs the amount of freight that may be loaded on the pallet is :-

(a) 9128 Lbs (b) 9156 Lbs (c) 9244 Lbs

5. A pallet 76 inches by 76 inches is to be loaded in a cargo aircraft. The floor load limit of the aircraft is 184 Lbs per square foot. If the pallet mass is 85 Lbs and the tie down equipment is 36 Lbs the amount of freight that may be loaded on the pallet is :-

(a) 7499 Lbs (b) 7378 Lbs (c) 7259 Lbs

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6. The C of G of an aircraft is 1000 inches aft of datum at an all up mass of 155 000 Lbs If 1000 Lbs of baggage is moved from FS 1166 to FS 670 the new C of G will be :-

(a) 996.8 inches(b) 997.5 inches(c) 998.3 inches

7. Aircraft Basic Empty Mass 8000 Lbs C of G 185 inches aft of datum Standard adult mass 170 Lbs 2 Pilots FS 129 2 Adult Pax FS 176 2 Adult Pax FS 215 1 Adult Pax FS 259 Baggage 250 Lbs FS 320 Fuel 440 US Gallons (SW 6.5 Lbs) Mom x 100 5337 Ignore Fuel for start and taxi

The C of G of the aircraft at Take-Off is :-

(a) 186.7 inches(b) 188.2 inches(c) 189.6 inches

8. Aircraft Basic Empty Mass 8000 Lbs C of G 176 inches aft of datum Standard adult mass 170 Lbs 2 Pilots FS 129 2 Adult Pax FS 259 Baggage 340 Lbs FS 346.5 Fuel 480 US Gallons (SW 6.6 Lbs) Mom x 100 5956 Ignore Fuel for start and taxi The C of G of the aircraft at Take-Off is :-

(a) 183.78 inches(b) 184.88 inches(c) 185.96 inches

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9. Operational Empty Mass 66 600 KgCG 480 InchesStandard Passenger Weight 75 KgZone A FS 290 28 PassengersZone B FS 480 42 PassengersZone C FS 680 46 PassengersHold 1 FS 200 1500 KgHold 2 FS 750 500 KgWing Tanks FS 490 41020 KgCentre Tank FS 480 9080 Kg

The CG of the aircraft at Take-Off is :-

(a) 483.27 inches(b) 484.68 inches(c) 485.73 inches

10. Operational Empty Mass 71 600 KgCG 480 InchesStandard Passenger Weight 165lbZone A FS 290 25 PassengersZone B FS 480 44 PassengersZone C FS 680 49 PassengersHold 1 FS 200 1750 KgHold 2 FS 750 800 KgWing Tanks FS 490 45820 KgCentre Tank FS 480 9550 Kg

The CG of the aircraft at Take-Off is :-

(a) 483.55 inches(b) 484.07 inches(c) 485.32 inches

11. Shortly before Take-Off, an extra passenger is given permission to board an aircraft. Before boarding aircraft weight was 11 200 Lbs, and the CG was 191 Inches. The passenger weight is 170 Lbs and is allocated a seat at FS 259.The revised CG of the aircraft is :-

(a) 192 inches(b) 193 inches(c) 194 inches

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CHAPTER 6

CRITICAL POINT (CP) or POINT OF EQUAL TIME (PET) &POINT OF NO RETURN (PNR)

PET / CP DEFINITION

The PET / CP is defined as being the point on track from which it would take equal of time to either return to the point of departure or continue to the destination. The PET / CP is not a function of fuel but of distance and aircraft groundspeeds. Long haul jet transport aircraft usually carry three PET / CP,s. A 4 Engine PET / CP, a one engine inoperative PET / CP (1 ENG INOP) and a 14 000 feet PET / CP in case of pressurization failure. The three cases each have a different TAS and Groundspeed thus the PET / CP will be at a different point. The ETA at the PET / CP is calculated and in the event of a major aircraft malfunction or a passenger becomes critically ill an instant decision can be made whether to continue to the destination or to return to the point of departure.

PET WITH NO WIND

On a flight from A - B, with still air conditions prevailing, it is clear that the PET would lie at the halfway point along track.

A B

500 nm PET 500 nm

PET WITH WIND

FORMULADistance to CP(PET) = GSH x Distance

GSH + GSO

Where GS H = GS Home GS O = GS Out

CP = H x DH + O

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Example 1

A to B Distance 630 nm Track 048°(T) TAS 245 Kts W/V 145/45If an aircraft departed A at 0900 Z the ETA at the PET would be :-

GS out 246 Kts GS home 235 Kts

GSH x DISTANCE 235 X 630 = pet of 308nms at GS 246 = 1 hr 15 minsGSH + GSO 235 + 246

Example 2

The Wind Component from A to the PET is 35 Kts Headwind and the Wind Component from the PET to B is 55 Kts Headwind. The distance A to B is 545 nm and TAS 300 Kts.

The Distance of the PET from A is :-

GSH 335 x DIST 545 = PET 315 nmsGSH 335 + GSO 245

Note: The halfway point from A to B is 272.5 nm but the PET is 315 nm from A.

The PET has moved into wind.

MULTIPLE TRACK CP/PET

A flight is planned from A to C via B. The distance of the PET from A is :-

A to B Distance 412 nm GS On 245 Kts GS Ret 215 KtsB to C Distance 237 nm GS On 268 Kts GS Ret 192 Kts

B

222 nm 237 nm at GS 268 190 nm at GS 215

A X 53 mins C

53 mins

Method:

1. Calculate the time on the shorter leg B to C. 237 nm GS 268 Kts Time 53 mins

2. Calculate the distance that would take 53 mins to return to A GS 215 for 53 mins = 190 nm

3. It will take the same time to fly from X to A as it will take to fly from B to C.

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Solve for the PET between X and B.

GSH 215 x DIST 222 = PET 104NMSGSH 215 + GSO 245

The PET is 294 nm from A (190 nm + 104 nm)

Proof PET to A 294 nm at GS 215 = 1 Hour 22 minsPET to B 118 nm at GS 245 = 29 mins + B to C 53 mins=1hr22min

PET or CRITICAL POINT (1 ENGINE INOPERATIVE)

To calculate the 1 ENG INOP PET or CP reduced groundspeeds are used, otherwise the calculation is the same.

Example 3

A twin engine aircraft is to fly from X to Y, Track 130°(T), Distance 727 nm, W/V 270/40, 2 engine TAS 260 Kts, 1 engine TAS 195 Kts. If the ETD is 0800 Z the ETA at the 1 ENG INOP PET (CP) is :-

2 Engine TAS 260 Kts GS On 289 Kts1 Engine TAS 195 Kts Reduced GS On 224 Kts1 Engine TAS 195 Kts Reduced GS Ret 163 Kts

R GSH 163 x 727 NMS = PET 306NMSR GSH 163 + R GSO 224

To calculate the ETA at the PET the 2 engine GS must be used.

PET 306 nm GS 289 Time 1 Hour 04 mins ETA 0904 Z

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PET/CP QUESTIONS

1. A to B, Track 060°(T), TAS 185 Kts, Distance 905 nm, W/V 090/30.The distance to the PET is :-

(a) 388 nm(b) 452 nm(c) 516 nm

2. C to D, Track 125°(T), TAS 245 Kts, Distance 1547 nm, W/V 225/45.If an aircraft departs C at 0915 Z the ETA at the PET is :-

(a) 1200 Z(b) 1215 Z(c) 1230 Z

3. The Wind Component from A to the PET is 45 Kts Headwind and the Wind Component from the PET to B is 60 Kts Headwind. The distance A to B is 750 nm and TAS 300 Kts.

The Distance of the PET from A is :-

(a) 412 nm(b) 442 nm(c) 482 nm

4. A flight is planned from A to C via B. TAS 275 Kts

A to B Distance 412 nm WC 35 Kts HeadwindB to C Distance 239 nm WC 55 Kts Headwind

The distance of the PET from A is :-

(a) 330 nm(b) 380 nm(c) 430 nm

5. A twin engine aircraft is to fly from A to B, Track 245°(T), Distance 830 nm, W/V 310/40, 2 engine TAS 280 Kts, 1 engine TAS 220 Kts.

If the ETD is 0800 Z the ETA at the 1 ENG INOP PET (CP) is :-

(a) 0943 Z(b) 1003 Z(c) 1023 Z

6. A twin engine aircraft is to fly from C to D, Track 035°(T), Distance 884 nm, W/V 135/45, 2 engine TAS 220 Kts, 1 engine TAS 185 Kts.

If the ETD is 1100 Z the ETA at the 1 ENG INOP PET (CP) is :-

(a) 1254 Z(b) 1314 Z(c) 1334 Z

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POINT OF NO RETURN (PNR)

The PNR is defined as the furthest point along track to which the aircraft can fly and return to the point of departure within the safe endurance of the aircraft (fuel reserves will remain intact).

PNR WITH ZERO WIND

If the safe endurance of an aircraft is 6 Hours the PNR will be 3 Hours.If the TAS is 240 Kts then the PNR is 720 nm.

PNR WITH WIND

Gs Home x Safe Endurance Gs Home + Gs Out

Or

FLIGHT FUEL or ENDURANCESGR out + SGR home

Example 1.

Track 220(T), W/V 300/35, TAS 240 Kts, Endurance 6 Hours (excluding reserves).GS Out 231Kts GS Return 244Kts

Answer:

244 x 6hr231 + 244 = 3hrs 5min

WITH ANY W/V THE PNR ALWAYS MOVES TOWARDS THE POINT OF DEPARTURE

MULTI TRACK PNR (for demonstration purposes only)

A B

C

1. Calculate the time from A to B and the time from B back to A.2. Subtract this time from the safe endurance.3. Use the endurance remaining to calculate the PNR from B enroute to C.

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PNR BASED ON FUEL CONSUMPTION

On a flight from A to B aircraft performance Outbound is 0.312 GNM/KG and aircraft performance returning to B is 0.421 GNM/KG Total Fuel on board is 9000 KG which includes a 15% reserve.

The distance to the PNR keeping the reserve fuel intact is :-

Method: Find the amount of fuel that can be used to the PNR and return.

Assuming the fuel on board is 115% (100%+15% reserve) = 9000KGThen fuel to the PNR and return is 100% = 7826KG15% of 7826 KG reserve fuel = 1174KGFuel on board 9000KG

Calculate the amount of fuel required to fly 1 nm Out and Return

1 nm Outbound 0.312 GNM/KG l/X = 3.2051 KG/GNM1 nm Return 0.421 GNM/KG 1/X = 2.3753 KG/GNM1 nm Out + Return 5.5804 KG/GNM

7826kg = PNR 1402 nm5.5804 KG/GNM

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PNR QUESTIONS

1. A to B TAS 245Kts, Track 315 (T), W/V 105/35,Endurance excluding reserves is 4 Hours 15 mins.

The distance of the PNR from A is :-

(a) 465nm(b) 487nm(c) 511nm

2. C to D TAS 315Kts, Track 225 (T), W/V055/60, Endurance 6 Hours.In the event of the aircraft returning to C reserve fuel of 1 Hour 30 mins is required.

The distance to the PNR keeping reserve fuel intact is :-

(a) 657nm(b) 684nm(c) 705nm

3. On a flight from A to B aircraft performance Outbound is 0.423 GNM/KG and aircraft performance returning to B is 0.527 GNM/KG. Total Fuel on board is 9000 KG which includes a 1500 KG reserve.

The distance to the PNR keeping the reserve fuel intact is :-

(a) 1760nm(b) 1860nm(c) 1960nm

4. A flight is planned from A to E at TAS315Kts. Endurance excluding reserves 6 hr

A to B Distance 234 nm WC 35 Kts HeadwindB to C Distance 289 nm WC 45 Kts HeadwindC to D Distance 324 nm WC 55 Kts HeadwindD to E Distance 455 nm WC 65 Kts Headwind

The distance to the PNR in :-

(a) 882nm(b) 922nm(c) 962nm

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ANNEX A

SAMPLE EXAM

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Sample exam

1. Maximum Take-off Mass 151 500 KgMaximum Landing Mass 107 000 KgMaximum Zero Fuel Mass 96 300 KgOptional Empty Mass 64 250 KgDistance A to B 2 850 nmGroundspeed 490 KtsFuel Flow 7 350 KgReserve Fuel 15 %

The maximum payload that may be carried from A to B is:

a) 36 337 kg;b) 38 087 kg;c) 32 050 kg.

2. The mass of 817 US Gallons of fuel at SG 0.78 is:

a) 2 412 kg;b) 2 897 kg;c) 3 965 kg.

3. The following figures apply to a runway:

Runway total length 4500 ftStopway 520 ftClearway 740 ftDisplaced threshold 220 ft.

The Landing Distance Available (LDA) is:

a) 4 280 ft;b) 4 500 ft;c) 5 240 ft.

4. The following figures apply to a runway:

Runway total length 4500 ftStopway 520 ftClearway 740 ftDisplaced threshold 220 ft.

The Take-Off Distance Available (TODA) is:

a) 4 500 ft;b) 5 020 ft;c) 5 240 ft.

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5. Runway 06 at LANSERIA is 3048 metres in length.

The elevation of RWY 06L is 4517 ft.The elevation of RWY 24R is 4393 ft.

The slope of RWY 24R is:

a) 2.15 %;b) 1.63 %;c) 1.24 %.

6. The weight measured at the landing gear of an aircraft are as follows:

Nose wheel (55 inches aft of datum) 475 Lbs.Right main wheel (121 inches aft of datum) 1046 Lbs.Left main wheel (121 inches aft of datum) 1040 Lbs.

The C of G of the aircraft is:

a) 104.6 inches;b) 106.4 inches;c) 108.8 inches.

7. The C of G of an aircraft is 196 inches aft of datum at an all up mass on 12 500 lbs. If 200 lbs. of baggage is moved from FS 325 to FS 120, the new C of G will be:

a) 191 67 inches;b) 192.72 inches;c) 193.58 inches.

8. Aircraft Mass 12 000 Lbs.C of G 193 inches aft of datumAft C of G limit 196.3 inches aft of datum.

The maximum mass that can be loaded at FS 325 without exceeding the aft C of G limit is:

a) 307 Lbs.;b) 342 Lbs.;c) 386 Lbs.

9. A pallet 83 inches by 95 inches is to be loaded in a cargo aircraft. The floor load limit of the aircraft is 169 Lbs. per square foot. If the pallet mass is 88 Lbs. and the tie down equipment is 37 Lbs. the amount of freight that may be loaded on the pallet is:

a) 9 128 Lbs.;b) 9 156 Lbs.;c) 9 244 Lbs.

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10. FL 180 TAS 276 Kts WC -20 Kts Fuel Flow 716 Lbs/HourFL 220 TAS 271 Kts WC -15 Kts Fuel Flow 622 Lbs/HourFL 260 TAS 262 Kts WC -60 Kts Fuel Flow 534 Lbs/Hour

The most economical FL is:

a) FL 180;b) FL 220;c) FL 260.

11. An aircraft flying at FL 310, TAS 232 Kts, Fuel Flow 545 Lbs/Hour has a performance of 0.355 GNM per LB.

a) 34 Kts Headwind;b) 39 Kts Headwind;c) 45 Kts Headwind.

12. An aeroplane flying at FL 310 at TAS 493 Kts obtains a performance of 46.06 ANM/1000 Kgs in zero wind conditions.

At FL 350 the TAS and performance is 48.6 ANM/1000Kgs.

It would be less economical to cruise at FL 350 against a headwind component greater than:

a) 10 Kts;b) 17 Kts;c) 23 Kts.

13. Aircraft basic Empty Mass 8000 Lbs.C of G 185 inches aft of datum Standard adult mass 170 Lbs2 Pilots FS 1292 Adult Pax FS 1762 Adult Pax FS 2151 Adult Pax FS 259Baggage 250 Lbs. FS 320Fuel 440 US Gallons (SW 6.5 Lbs) Mom x 100 5337Ignore fuel for start up and taxi

The C of G of the aircraft at Take-Off is:

a) 186.7 inches;b) 188.2 inches;c) 189.6 inches.

14. The wind component from A to PET is 35 Kts Headwind. The wind component from the PET to B is 55 Kts Headwind. Distance A to B is 545 nm, TAS 300 Kts.The distance of the PET from A is:

a) 272 nm;b) 315 nm;c) 347 nm.

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15. The term VI means:

a) Take-Off Safety Speed;b) Take-Off Decision Speed;c) Take-Off Refusal Speed.

16. Airfield Pressure Altitude 5500 feet, temperature +19ºC, Aircraft Weight 10 800 Lbs. Headwind 13 Kts, Flaps 40%

According to graph 5-38 the Take-Off Ground Roll is:

a) 2 100 feet;b) 2 500 feet;c) 2 900 feet.

17. Airfield Pressure Altitude 5250 feet, temperature +23ºC, Field Length 4000 feet, Stopway 400 feet, Clearway 700 feet, Tailwind 5 Kts, Flaps 40%.

According to graph 5-39 the maximum take-off weight which satisfies the accelerate –stop distance available for the conditions is:

a) 12 500 Lbs.;b) 11 300 Lbs.;c) 9 700 Lbs.

18. Climbing from 6000 feet pressure Altitude, OAT + 25ºC, to FL 270, OAT –31ºC at initial climb weight of 11 500 Lbs.

Using graph 5-45 the Time, Fuel and Distance for the climb is:

a) 18 mins 190 Lbs. 44 nm;b) 15 mins 180 Lbs. 45 nm;c) 14 mins 200 Lbs. 57 nm.

19. Cruising at FL 210, OAT –12ºc, the recommended cruise power according to graph 5-59 is:

a) 1855 FT/LBS.;b) 1805 FT/LBS.;c) 1745 FT/LBS.

20. The range of the EE-20 aeroplane cruising at FL 280 with a headwind component of 35 Kts flying at recommended cruise power (graph 5-96)

a) 954 nm;b) 863 nm;c) 782 nm.

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21. Enroute from WPT 6 to WPT 7 at FL 270, Temperature ISA +15ºC, Distance 387 nm, Wind Component 35 Kts headwind, Aircraft Weight 11 500 Lbs., Recommended Cruise Power.

The fuel used for the sector according to tables 5-54 and 5-55 is:

a) 787 Lbs.,b) 824 Lbs.,c) 863 Lbs.

22. An EE-20 aeroplane, Take-Off weight 12 175 Lbs., CG 188.7 inches, with 490 US Gallons of fuel in tanks, SW 6.7 Lbs/US Gallons flies from X to Y.

If the trip fuel is 320 US Gallons the CG on landing at Y (table 6-14) is

a) 187.96 inches;b) 188.37 inches;c) 188.84 inches.

23. For a flight from A to B the Minimum Enroute Altitude is 19 500 feet where the OAT is –12º and the area QNH is 995.6 hPa.

If the fuel used to the high ground 300 Lbs. the Maximum Take-Off Weight from A according to graph 5-24 is:

a) 11 600 Lbs.;b) 12 000 Lbs.;c) 12 400 Lbs.

24. An obstacle 625 metres AMSL is 4 nm from zero of a runway whose elevation is 1050 feet. According to graph 5-28 the Minimum Climb Gradient required is:

a) 3.5%;b) 4.0%;c) 4.5%.

25. For and ILS approach to a runway at sea level, the altitude of an aircraft on the glide slope overhead the Outer marker inbound is published as 1300 feet.

If the IAS is 90 Kts with 40 % Flaps the altimeter reading over the Outer marker inbound on the glide slope should be. Use graph 5-15.

a) 1263 feet;b) 1278 feet;c) 1337 feet.

26. According to graph 5-29, the indicated stall speed on the EE-20 aeroplane at 11 250 Lbs., Flaps Up and a 25º angle of bank:

a) 99 Kts;b) 103 Kts;c) 107 Kts.

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ANNEX CANSWERS TO QUESTIONS

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Chapter 1

1 C2 A3 C4 B

1. QNH 1025 5327 ft11.8 x 30 = 354 ftQNE 1013.2 4973 ft OAT +27°C DA 7446 ft by calculator

2. QNH 995 1075 ft18.2 x 30 = 546 ftQNE 1013.2 1621 ft OAT +16°C DA 2116 ft by calculator

3. 0600 Z DA 4055 ft1400 Z DA 5748 ft DA increased by 1693 ft

Chapter 2

1 C2 B3 A4 A5 A

RWY 08 225 ft

RWY 26 185 ft40 ft

1980 metres x 3.28 100 = 0.62 %

40 ft

6 B

RWY 10 431 ftRWY 28 383 ft

48 ft

7 01 90,800,32419 90,800,29015 3450,1250,275033 3450,1400,1900

8 19kts9 C10 A11 09

a. 1730b. 1380c. 1380d. 1380

27a. 2980b. 1380c. 2030

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48 ft

1935 metres x 3.28 100 = 0.76 %

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d. 1380

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Chapter 4

1 B 25 B2 A 26 B3 C 27 B4 C 28 C5 C 29 C6 B 30 A7 B 31 C8 C 32 A9 C 33 B

10 C 34 C11 A 35 B12 B 36 A13 C 37 C14 C 38 A15 B 39 A16 A 40 A17 C 41 C18 B 42 B19 A 43 B20 C 44 C21 B 45 C22 C 46 B23 A 47 C24 B 48 A

49 B

Chapter 5 Set 1

1. A2. B3. C4. A5. A6. B7. C8. A9. B10. A

Chapter 5 Set 2

1. C2. B3. A4. A5. C6. A7. B8. B9. A10. B

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11. A

Chapter 6

PET Q’s1. C2. B3. B4. B5. A6. A

1. GS O 158 Kts GSH 210 x 905 = PET 516nmGS H 210 Kts GSH210 + GSO158

2. GS O 249 Kts GSH 233 x 1547 = PET 748 nm at GS 249GS H 233 Kts GSH 233+ GSO 249 PET 3 hours

ETA 1215z

3. WC 45 HW GS 255 WC 60 HW GS ON 240 WC 45 TW GS R 345 PET TAS 300

GSH 345 x 750 = PET 442nmGSH 345+ DSO 240

4. B

412 nm 75 nm 239 nm X 337 nm A C

A to B GS O 240 GS H 310B to C GS O 220 GS H 330

As A to B is the longer leg, the PET should occur before B.

B to C Dist 239 nm GS O 220 Time 1.0864 HoursX to A GS H 310 Time 1.0864 Hours Dist 337 nm

GSH 310 x 75 = PET 42nm from X PET 379 from AGSH 310 + GSO 240

Proof PET to A 379 nm GS R 310 Time 1.2226 Hours 1:13:21 sec

PET to B 33 nm GS O 240 Time 0.1375 HoursB to C 239 nm GS O 220 Time 1.0864 Hours

1.2239 Hours 1:13:26 sec

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5. 2 ENG TAS 280 GS O 261

1 ENG TAS 220 GS O 200 GS H 234

GS H 234 x 830 = PET 447.5 GS O 261GS H 234 + GS O 200

6. 2 ENG TAS 220 GS O 2231 ENG TAS 185 GS O 187 GS R 172

GS H 172 x 884 =PET 423.5 GS O 223GS H 172 + GS O 187

PNR QUESTIONS

1. C2. B3. A4. B

1. GS O 275 GS H 214 x 4.25 HRS = PNR 1.8599 HRS GS O 275 GS H 214 GS H 214 + GS O 275 PNR = 512 nms

2. GS O 374 GS H 256 x 4.5 HRS = PNR 1.8286 HRS GS O 374 GS H 256 GS H 256 + GS O 374 PNR = 684 nms

3. .527 GNM/KG = 1.8975.423 GNM/KG = 2.36411GNM O +H = 4.2616

7500KG = PNR 1760 nm

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Time 1 hr 43 minsETA 0943 Z

Time 1 hr 54 minsETA 1254Z

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4.

A – B Distance 234 GS O 280 T 0.8357 HoursB – A Distance 234 GS H 350 T 0.6686 Hours

______________T 1.5043 Hours

B – C Distance 289 GS O 270 T 1.0704 HoursC – B Distance 289 GS H 360 T 0.8028 Hours

______________T 3.3775 Hours

C – D Distance 324 GS O 260 T 1.2462 HoursD – C Distance 324 GS H 370 T 0.8757 Hours

______________T 5.4994 Hours

Endurance remaining T 0.5006 Hours

D – E GS O 250 GS H 380GS H 380 _______________ X 0.5006 Hours = PNR 0.3019

Hours GS O 250 + GS H 380

GS O 250 PNR 75nm

A – B 244nm + B – C 289nm + C – D 324nm + 75nm = PNR 922nm

Sample Exam

1. C2. A3. A4. C5. C6. C7. B8. A9. A10. B11. B12. C13. B14. B15. B16. A17. C18. B19. C20. A21. C22. A23. B24. B25. A26. A

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