Aviation Calculator - Manual
Aviation Calculator - Manual
Aviation Calculator
Aviation Calculator lnstructions
twA 11 092
or Contents
02 lntroduction
Absolutely reliable and safe navigation aids are crucial in aviation. ln developing the Aviation Calculator IWA 11092 valuable professio-
Mechanical calculating and navigation devices have substantial naladvice was given to us by numerous aviation institutions.
advantages over their electronic counterparts and have established We are especially grateful to:
their superiority as they do not sufler Irom faults caused by low
power supply or from technical defects. Calculation devices based Jdrg Bohn of lnlercockpit GmbH - Pilot Training Network, Michael
on analogue scales match our way of thinking and imagination and [,4orr of DFS - German Air Traffic Control-, Lufthansa Flight Training
hence aid comprehension of the tasks to be carried out. Each step GmbH Navigation and Meteorological Departments 3
of the task is done manually and is automatically checked by the and the Public Belations Department of the LBA - German Federal
user for feasibility; this reduces the risk of an error. Agency of Aviation.
These are the reasons why pilots need to understand how to use
mechanical devices such as the aviation calculator and why know-
ledge of their use is tested in exams.
03 lnstructions
03.01 General
Ihe Aviation Calculator has scales on one side which enable all The introduction starts off by explaining the general use of the
calculations necessary for p anning a flight to be made. This slde s calculation scales using stralghtforward examples and then leads
matked Flight Calculator. The other side is used for fllght navigation on step by step to the complex arithmetic and geometric f lght
using the wind triang e method. This side is natked Flight Navigator navigation techniques.
The com mon nte rnatlonal abbreviations a nd definitions in Eng ish, N ow look at the Flight Calculator side,of th e aviatlon ca cu lator.
as given ln the Aerospace Dictionary (published by Motorbuch
Verlag 2002) as far as they are avaiable, are used ln the fol owing
examp es o1 calculations.
Range Division The scales indicate only the sequence of d gits of a numerical value,
ignoring the declma point. The pos tion of the declmal polnt is then
10 to 15 Who e numbers and tenths determined according to the appl cation.
'15 to 30 Whole numbers and fifths ln most cases the exact value w I not be exact y on a ine, but w ll be
between two graduation marks. ln such case the va ue can be interpola-
30 to 10 Whole numbers and halves ted accordlng to the dlstance from the adjacent graduation marks or
simply read as being the closest lne. As a ru e this is sufficiently
accurate for flght calcu ation purposes.
The values can be read off from the red halr ine on the cursor. n the pic
tures of the calculation examp es the etters marked with an arrow mean
the setting entered > the setting entered, p' the reading and
) p.'ci. ma'l i^gs on lhe n;ght Navlgaor.
04 Calculation examples
.:* -
t..
-6
04.01 Multiplication
o^
)1 > Set the arrow 10 (inner scale) to 46 (outer scale).
,9oc/
> Read off above 13.5 (inner scale) the result 6.2 (outer scale).
04.02 Division
Examp e 3B:24
The method ls reversed for division:
ft Feet
1 foot = 0.30 m = 0.33 yd
yd Yard
1yd=0.91 m=3jeet
m/s second
Metres per kg Kiogramme
1m/s=3.6km/h=1.94kt=197 lkg=221b
lb Pound Pound (lmperial pound)
T lb = 0.45 ks
oe Converting distances
Calcu ating these parameters is {airly easy keeping in mind that time
is read from the inner scale and distance from the outer scale.
The scale in the green band gives hours. The arrow for t hour reads
as a value of 60 on the inner sca e as t hour = 60 minutes.
'"% Caution!The distance units must always be compatible for this calculation.
lf the speed is in knats, the distance has to be in NM ot the speed
converted inta km/h. A conversian method will be shown latet.
> At 75 min (inner scale) read off 150 N I\4 (outer scale).
CautianlThe distance units i11ust always be compatible fat tllts calculatran.
s\*\N$\ lf the speed is in knats, the distance has to be tn NM ar the speed
converted into km/h A canvercion methad will be shawn later.
.YY.'\
.t.\9^q
14
0703 Speed
> Read off 129 kt above the time arrow on the outer scale.
-E
Bead off required amount of fuel 66.5 lltre (outer scale) over flight time
2 hours 40 minutes (green time scale).
You need this calculation af the flight time in arder to determine how long
the aircrcft can stay airbarne with a gtven fuel consumptian and a gtven fuel
load. You need ta take the usable fuel load (reserve minus safety reserve)
;nta cons,detaL;on ;n Lhi. cdlcul"Lian.
Read ojf 100 litres (outer scale) possible flight time 4:20 h
(qreen time scale).
17
08.03 Control calculation ofluel consumption
> Read off at the time arrow 11.5 US GAL (outer scale).
os Converting weight to volume
Precise planning of fuelling is a vital part of flight preparatlon. Several
ways of measurlng fuel are used in practice, e.g. by volume (in itres,
lmperial gallons, US gallons) or by weight (in kg or lbs). The converslon
oI one to another is therefore very important.
The welght of fuel can be calculated from its volume and vlce versa
by means of its density. The AVIATION CALCULATOR contains
conversion scales Jor'Density" ln kg and in lbs.
F*-**-:"R@]>
one
20
Fue load 2500 lbs, density 0.74
How many US GAL is this quantity?
> Set the cursor hairline at 0.74 on the Density (lbs) blue
outer scale and set 25OO {inner scale) under the hairline.
> Read olf the result ol40b US GAL (inner scale) at the US GAL
(outer scale) marker.
HEIGHT Vertical distance above ground Density Altitude and True Altitude are calculated with
Altlmeter scale is set to OFE. the Pressure Altitude as a base.
ALTITUDE Vertical distance to l\y'SL lI the indicated air pressure does not comply with lSA, it needs
(MSL = Mean Sea Level) to be converted to obtain the Pressure A titude. 21
Altimeter scale is set to ONH.
Pressure Altitude is lower for pressures above 1013.2 hPA and
PRESSURE The indicated height if the a timeter scale vice versa (subtract (v add 30 feet per millibar).
ALTITUDE is setto 1013.2 hPa.
(1013.25 hPA = 1013.25 mbar = 29.92 inch HG)
10.04.01 DensityAltitude DA
Correction factors are g ven in most flight manuals, should this not be
the case they can be ca cu ated wlth the Aviat on Calcu ator.
The temperature is higher than ISA at given altitude The density
-o^
.7, altitude wtll therefare be highet than the barametric altitude-
a>,Az- *- ':^'a
-de
_ ,r-- <
10.04.02 DensityAltitude
':: --)-
: -:@
Dens ty AltiL.de PA 5,000Il
Temperature OAT +20'C
-; .-( _ _+J 24
\_-nJl
-\9, "/ i. oI! Required: Density Altltude
PA 20,000 ft
oAT -40 "C
cAS 350 kt
26
27
Keep the unaltered setting of the discs and the cursor
as they are (CAS 350 kt)
-P. s 2z.
9i E> Read off on the Temperature Rise scale at 2A
460 kt the temperaiure rise of 28 oC (for Ct =1.0)
a\
:$
4
I
*i.'ilSB-
\.r\
'" I
D
In the AIR SPEED window: set OAT -58'C to PA 20,000 ft.
Set cursor hairline on CAS 340 kt (inner scale).
Read ofi TAS 433 kt (outer scale).
29
The l\/lach number M can be calculated on the FLIGHT CALCULATOR
Note an "TEMPERATURE RISE" scale:
slde of the Aviatlon Calculator. This is the TAS of the aircraft re ative to
The upper scale far the temperalure carrectian value af At'C (C, = 1.0) is
the ocal sound velocity. E.g. at a TAS of 200 kt and local sound velocity
based an a temperature recavery coeffictent of Ct = 1.0. This corrcsponds
of LSS 600 kt, the lvlach number wou d be TAS 200/LSS 600 = 0.33 M.
ta the calibratian of madern sensors. The scale below At "C (C, = 0.7)
shaws the equtvalent values for C. = 0.7 This carrespands to the caltbtation
of older types of sensor lf in daubt for older aircftft the C, values can be Local saund velocity depends an temperature- 1n the AIB SPEED windaw
taken from the flight manual. Far examination questions it is rccommended therc is an M mark oppostte the temperature scale- This can be used ta
to give the C.value used for calculating. calculate fhe Mach numb--r
11.03.01 Local sound velocity M
Given:
TAS 300 kt
oAT - 20'C
Bequlred: M 30
F Bead off opposite TAS 300 (outer scale) M 0.485 (inner scale).
F Opposite N/l 1 (inner scale) read ojf the locaL sound velocity of
LSS 6T I kt (outer scale).
,t
og2 Rates af climb/descent are usually given in feet per minute-
> Set the green tlme arrow to 130 kt on the outer scale.
gnLCULATOP
@,,
a',d
Set the rate of descent (ROD) 800 feet/min (inner scale) to the altitude
difference 7,000 teet (outer scale).
Read oif at t0 arrow the tlme oI descant of 8.75 min (outer scale).
33
Descent '10 minutes
Ground speed GS 220 kt
At what dislance fronn the destination does the descenl need to start?
Firsi, the error angle ls calculated from the start point and the
given distance.
Then the correction angle is ca culated from the deviatlon and the 34
distance to the destination.
The sum oI the two angles is equal to the ang e by which the course
needs to be corrected.
CALCULATOq
@,t og?
'iez.
,1,
13.01 Example: Course conection
,{
S;:-. A deviation oI 5 NM jrom the start point was recorded after 30
NM. What is the course correction jor the remaininq 40 NM?
35
i*.'ry B--€::=--
-: >
lar:A # -,isB =*
$- -.-E=r
Set the distance at the start point of 30
to a deviation of 5 NM (outer scale).
N l\,4 (inner scale)
9*o.z "'g > Read off the angle o{ deviation of 'lO'at the time arrow.
ilu:tltrilti:ti:liit:
Set the remaining distance of 40 NM (inner scale)
io deviation 5 Nl\y' (outer scale).
The sum o{ 10' + 7.5'= 17.5' is the angle by which the route has
to be corrected.
36
To determine the exact flight time see the example on page 16.
The result is 7:38 h.
$Jst$ Thus with a total flight time of 7:38 h you can travel outbound 4:47 h at 90 kt.
After this is still suf{icient fuel available for 2:51 h lnbound flight at 150 kt.
1-,"\Y Op to 4:4'l h outbound flight you have enough fuel for the inbound flight.
38
=;t /,
Da not forget to add a safety margin-
:ril )J For converting this value to the related distance you can use the outbound
speed.
1. A disk - speed vectors {or the aircraft and the wind can be drawn on the
surface with a solt pencil. The vectors can be set at different angles by
means of the graduations on the graduations on the edge of the disk.
39
2. A slide chart with coordinates for w nd speed, crrcular lines tor TAS of
the aircraft and straight lines for the angle of drift. The LOW SPEED side
is laid out for low speeds, the HIGH SPEED side tor high speeds.
3. A wind cursor with indicator to set the wind direction and scales that
apply to both speed ranges on the chart board.
15.01 Determining the ground speed GS and the wind correction angle
w/v 60/40
TAS 170 kt
Requ redrWind correction angle L, GS, true headlng TH
(TC = true course, TH = true head ng)
15.02 Determining the wind Irom the drift and the ground speed
Given:
TH 310'
TAS 200 kt
GS lBO Kt
Abdrift d +7'
41
The wlnd can be ca cu ated from the drifts of two true headlngs
if the TAS is known.
G lven:
42
IAS 340 kt
TH 200', q-5'
TH 265", a. + 2'
43
15.04 Recoupling Distance 1
X The shi{t of the a rcraft from true heading and the d stance from the
start ng point are known. Course error and coLrrse correct on are required.
Given:
TH 14 0'
Tota distance 350 NM, of whlch 190 NM were completed
Shift to the right 24 NM
46
Requlred: Course correction angle
Term Abbreviation
Altitudes
lndicated Altitude IA
Density Altitude DA
True A titude TA
Speed 50
lndicated Airspeed rAs
Callbrated Airspeed cAs
Equivalent Airspeed EAS
True Alrspeed TAS
Ground Speed GS
Rate o{ Climb ROC
Rate oJ Descent ROD
Mach Number Mach
Local Sonic Speed LSS
Term Abbreviation
Standard Values
Mean Sea Level MSL
lnternational Standard Atmosphere tsA
(1013.25 hPA = 1013.25 mbar = 29.92 inch HG)
Standard
5!
Temperature 15o C
Outside Air Temperature OAT
Course
True Course TC
True Heading TH
True Track TT
True Angle
Wind Correction Angie
twA 11092 / llK T 1
Deslgn, Conception
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