CRP-1
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  1. MULTIPLICATION

  2. DIVISION

  3. TIME

  4. DISTANCE

  5. SPEED

  6. CONVERSIONS nautiacl miles, statute miles & kilometres

  7. CONVERSIONS speed in mph to knots and kph

  8. CONVERSIONS between metres yards and feet

  9. Convert kilogrammes to pounds

  10. Volume to convert between Imperial gallons, US gallons and litres

  11. CONVERSION of Volume to Weight

  12. CONVERSION of Weight to Volume

  13. To calculate the fuel required

  14. To calculate fuel consumption

  15. To calculate endurance

  16. CALCULATION OF AIR SPEED
  17. To calculate TAS (up to 300 knots)

  18. To calculate TAS (up to 300 knots)

  19. ALTITUDE CALCULATIONS
  20. Calculation of True Altitude

  21. To calculate density Altitude

  22. TEMPERATURE CONVERSIONS
  23. Convert deg fahrenheit to deg centigrade & "1 in 60 Rule"

  24. To discover Track Error Angle

  25. To discover distance off track from a (co-located) VOR/DME

  26. CALCULATION OF SPEED AND SOUND
  27. Temperature scale in AIR SPEED window

  28. WIND TRIANGLE PROBLEMS CRP-1 and 4
  29. To set the wind velocity

  30. To find Track and Groundspeed

  31. To find Heading, Groundspeed and Drift

  32. To find Wind Velocity

  33. To find Track and Groundspeed

  34. To find headwind and crosswind components for a given runway direction

  35. Bearing Selector Computer CRP-3

  36. To convert speeds (s) into ratios (r) of TAS and vice versa

  37. To find Track and Groundspeed

  38. To find Heading, Groundspeed and Drift

  39. To find the Wind Velocity

1. MULTIPLICATION

To multiply (a) by (b)

Method

  1. Set 1 of the inner scale beneath (a) on the outer scale
  2. Opposite (b) of the inner scale, read off the answer on the outer scale
Example
  1. Set 1 of the inner scale beneath (a) on the outer scale
  2. Opposite 1.8 of the inner scale, read off the answer 6.3 on the outer scale

Answer

3.5 x 1.8 = 6.3

2. DIVISION

To divide (a) by (b)

Method

  1. Set (b) of the inner scale beneath (a) on the outer scale
  2. Opposite 1 of the inner scale, read off the answer on the outer scale
Example
6.3/3.5
  1. Set 3.5 of the inner scale beneath 6.3 on the outer scale
  2. Opposite 1 on the inner scale, read off the answer 1.8 on the outer scale

Answer

6.3/3.5 = 1.8

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TIME, DISTANCE & SPEED

3. Time

To find time (t) to cover distance (d) at speed (s)

Method

1. Set 60 (minutes) of inner scale opposite speed (s) on outer scale
2. Opposite distance (d) on outer scale, read off time (t) on inner scale

Example
To find the time to fly 225 kilometres at 90 kph

1. Set 60 of inner scale opposite 90 of outer
2. Opposite 225 of outer, read off 150 or 2 hours 30 minutes on inner


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4. Distance

To find distance (d) travelled on (t) minutes at speed (s)

Method

1. Set 60 of inner scale opposite (s) on outer
2. Opposite (t) on inner scale, read off (d) on outer

Example
Find distance travelled in 29 minutes at 87 knots.

1. Set 60 of inner opposite 87 on outer
2. Opposite 29 on inner, read off 42 on outer
Answer
29 minutes at 87 knots = 42 nautical miles


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5. Speed

To find speed (s) from kown distance (d) at time (t)

Method

1. Set (t) on inner opposite (d) of outer
2. Opposite 60 of inner read off (s) on outer

Example
Find speed if 23 statute miles are flown in 10 minutes.

1. Set 10 on inner scale opposite 23 of outer
2. Opposite 60 of inner read off 138 on outer
Answer
23 statute miles in 10 minutes = 138 mph


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CONVERSIONS OF DISTANCES AND SPEEDS

Use the indices on the outer scale

6. CONVERSIONS nautiacl miles to statute miles

Method

1. Set the given quantity at its own index on outer
2. At the other indices on outer, read off the answer on inner

Example
How many statute miles and kilometres in 66 nautical miles?

1. Set 66 on inner opposite NAUT M index on outer
2. Read of on inner opposite STAT M index on the outer, 76 andat KM-M-LTR index, 122.3
Answer
66nm = 76 sm = 122.3 km


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7. CONVERSIONS between speeds in mph, knots and kph are solved by the method given at 6 above

Method

1. Set the given quantity at its own index on outer
2. At the other indices on outer, read off the answer on inner

Example
What speed in knots and mph is the same as 161 kph?

1. Set 161 of the inner scale opposite KM-M-LTR index on outer scale
2. Read of on inner opposite NAUT M index on the outer, 87 and at the STAT M index, 100
Answer
161 kph=87 knots=100 mph


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8. CONVERSION between metres, yards and feet

Method

1. Set the given quantity on inner scale at its own index on the outer
2. At other indices on outer, read off the answer on inner scale

Example
How many yards and feet in 1920 metres?

1. Set 1920 of the inner at KM-M-LTR index on outer scale
2. Read of on inner scale opposite the outer scale indices YARDS 2100 and FEET 3600
Answer
1920 metres = 2100 yards = 6300 feet


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WEIGHT CONVERSIONS

9. To convert between kilogrammes and pounds

Method

Use is made of the prominent arrows on the outer scale beneath "WEIGHT IN KGS" and "WEIGHT IN LBS"
1. Set the given quantity on inner scale beneath its own index on the outer
2. At other index, read off the answer on inner scale

Example
Convert 500 lbs to a weight in kgs.

1. Set 500 of the inner at the WEIGHT IN LBS index
2. Opposite WEIGHT IN LBS index of the outer read of 227 on the inner.
Rough calculation 500 lbs / 2.2)
Answer
500 lbs = 227 kgs


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FUEL CALCULATIONS

10. Volume To convert between imperial gallons, US gallons and litres

Method

Use is made of the indices on the outer scale 1. Set the given quantity on inner scale beneath its own index on the outer
2. At other indices on outer, read off the answer on inner scale

Example
Convert 110 imperial gallons to U.S. gallons and litres.

1. Set 110 of the inner beneath the IMP gal index on outer scale
2. Opposite the U.S.GAL index on the outer read off 132 on the inner and opposite the KM-M-LTR index read off 500
Answer
110 imperial gallons = 132 U.S. gallons = 500 litres


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11. Conversion of volume to weight

The SpG (specific gravity) scales have been so positioned that immediate conversions can be made between the metric and the British and U.S. system

Method

1. Set volume on inner opposite its own index on the outer
2. Beneath specific gravity on the SpG index on the outer read off the answer on the inner

Example
What is the weight in pounds and kilogrammes of 110 imperial gallons at a specific gravity of 0.72?

1. Set 110 of the inner beneath the IMP gal index on outer scale
2. Beneath 0.72 of the SpG index beneath WEIGHT IN LBS read 794 on the inner and at SpG 0.72 beneath WEIGHT IN KGS read 360 kgs
Answer
110 imperial gallons at SpG 0.72 weighs 794 pounds or 360 kgs

Note that this is the same setting of the scales as at 10 above so that at the same time you can read off the 110 imp galls = 132 U.S. galls and 500 litres


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12. Conversion of weight to volume

Method

1. Set weight on inner scale at its own SpG index on the outer
2. Read off the relevent volume index on outer, the answer on the inner

Example
How many imperial gallons weigh 1000 lbs at a specific gravity of 0.72 and what is the weight in kgs and the volume in litres and U. S. galls?

1. Set 1000 of the inner scale opposite SpG 0.72 beneath WEIGHT IN LBS on the outer scale
2. Read off
[a] at outer IMP GAL index, 138 1/2 on inner
[b] at outer KM-M-LTR index, 628 (LITRES) 1/2
[c] at outer U.S. GAL index, 166 1/2
[d] at SpG 0.72 beneath WEIGHT IN KGS, 454
Answer
1000 lbs of fuel at SpG 0.72 is by volume 138 1/2 imperial gallons of 628 litres or 166 1/2 U.S. gallons and weighs 454 kgs


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13. To calculate the fuel required

Method

1. Set 60 of the inner scale opposite the fuel consumption per hour on the outer scale
2. At (t) on the inner scale, read off the fuel required on the oute scale

Example
How much fuel is required for 168 minutes at 14.3 gph?

1. Set 60 of inner beneath 14.3 on outer
2. Opposite 168 on inner, read off 40 on outer
Answer
168 minutes at 14.3 gph requires 40 gallons


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14. To calculate fuel consumption

Method

1. Set (t) on inner opposite fuel on outer
2. Opposite 60 of inner, read off answer on the outer

Example
If 52 gallons are used in 13 minutes, what is the fuel consumption per hour?

1. Set 13m0f inner beneath52 of outer
2. At 60 of inner, read off 240 of outer
Answer
52 gallons in 13 minutes = 240 gph


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15. To calculate endurance

Method

1. Set 60 on inner opposite gph on outer
2. Opposite fuel available on outer, read off endurance (in minutes) on inner

Example
What is thwe endurance if 133 letres are available and the fuel consumption is 57 lph?

1. Set 60 of the inner scale beneath 57 of the outer scale
2. Opposite 133 of the outer, read off 140 on the inner
Answer
At 57 lph, 133 litres gives an endurance of 140 minutes


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CALCULATION OF AIR SPEED

The speed indicated on the air speed indicator is the Indicated Air Speed (IAS)
IAS corrected for position and instrument error gives the Rectified Air Speed (RAS)
RAS is always used on the computer for calculating the True Air Speed (TAS)
RAS corrected for density error gives the TAS up to 300 knots
Pressure Altitude is indicated on the altimeter when its sub-scale is set to 1013.25 hPa (or 29.92 inches)
The temperature indicated on the outside air thermometer is effected by kinetic heating and so will always read higher than the correct air temperature.
The value of this rise is given in the table below, and should always be subtracted from the indicated outside air temperature to obtain the correct air temperature.

TAS knots 100 140 175 200 225 245 265 280 300
Temp rise 'C 1 2 3 4 5 6 7 8 9

AIR SPEED CALCULATIONS

(Air Speed Indicator)

16. To calculate TAS (up to 300 knots)

Method

1. In AIR SPEED window set temperature against pressure altitude
2. Opposite RAS on the inner scale, read off TAS on outer scale

Example
RAS 150 knots; Pressure altitude 18000 feet; (corrected) Temperature -30 deg C; what is TAS?

1. In AIR SPEED window set CORR AIR TEMP -30 opposite PRESS ALT 1000 FT, 18
2. Opposite 150 on the inner scale, read 195 on outer scale
Answer
RAS 150 knots at 18000 ft at -39 deg C = TAS 195 knots


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17. To calculate TAS (up to 300 knots)

Although generally speaking the TAS is greater than RAS, it should be noted that at low temperatures at low levels, the TAS can be less than RAS

Example
Corrected temperature at pressure altitude 4000 feet is -40 deg C, what is the TAS for a RAS of 140

1. Set temp -40 opposite PRESS ALT 1000 FT, 4
2. Opposite RAS 140 on inner read 135 TAS on outer scale
Answer
Press Alt 4000 ft; temp -40 deg C; RAS 140 = TAS 135


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ALTITUDE CALCULATIONS

An altimeter measures
HEIGHT when the sub-scale is set to QFE
ALTITUDE when the sub-scale is set to QNH
PRESSURE ALTITUDE when the sub-scale is set to 1013.25 hPa

PRESSURE ALTITUDE / 100 = FLIGHT LEVEL

HEIGHT and ALTITUDE, as read from the altimeter, are subject to temperature error.
PRESSURE ALTITUDE and FLIGHT LEVEL are NOT subject to temperature error
Reasonably accurate corrections of ALTUTUDES up to 30,000 feet for temperature error can be made on the computer, although the correction is seldom called for.

18. Calculation of True Altitude

Method

1. In ALTITUDE window, set corr air temp against pressure altitude
2. Opposite altitude on inner scale, read true altitude(corrected for temperature error) on the outer scale

Example
Altitude (QNH) 17,400 feet; Pressure altitude (1013.25 hPa) 18,000 feet corr temp -5 deg C; what is the true altitude?

1. In ALTITUDE window, set AIR TEMP deg C -5 against PRESS ALT x 1,000 FT, 18
2. Opposite 17,400 feet on inner scale, read 18,500 feet on the outer scale
Answer
Corr temp -5 deg C; Press alt 18,000 ft; altitude from altimeter 17,400 ft; true altitude is 18,500 ft


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19. To calculate density Altitude

Again, this calculation is seldom called for

Method

1. In the AIR SPEED window, set corr temp against pressure altitude
2. In th DENSITY ALTITUDE window, read off density altitude at the index

Example
Pressure altitude 18,000 ft, corr temp -5 deg C; what is the density altitude?

1. In the AIR SPEED window, set temp -5 deg C against pressure altitude 18,999 ft
2. In the DENSITY ALTITUDE window, read off density altitude 20,000 ft
Answer
The density at pressure altitude 18,000 ft with a temperature of -5 deg C is the same as the density at 20,000 ft in the International Standard Atmosphere (ISA)


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TEMPERATURE CONVERSIONS

20. "PILOT NAVIGATION" 1 IN 60 RULE PROBLEMS

On the computer a scale is provided beneath the circular slide rule for the conversion of temperatures in degrees fahrenheit to degrees centigrade

The circular slide rule can also be used to solve the "1 in 60 Rule problems"


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21. To discover Track Error Angle

Method

1. Set "distance along track" on the inner scale beneath "distance off track" on the outer scale.
2. Opposite 60 on the inner scale, read off track error angle on the outer

Example
Pinpoint 3 nautical miles to starboard of track, 36 nm along track. What is the Track Error?

1. Set 36 on the inner scale opposite 3 of the outer scale
2. Opposite 60 of the inner scale, read 5 on the outer scale
Answer
3 nm off track to starboard in 36 nm gives a track error of 5 deg Starboard


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22. To discover distance off track from a (co-located) VOR/DME

Method

1. Set 60 og inner scale opposite track error on the outer
2. Opposite DME distance on the inner, read off "distance off" on the outer

Example
Inbound to VOR/DME station, desired track 241, VOR gives QDM 248 and DME range is 43 nm. How far is aircraft off desired track?

1. Set 60 of inner opposite 7 of outer, (284-241)
2. Opposite 43 of inner, read (5.02) distance off on outer
Answer
QDM 248; desired track 241; DME 43 nm; aircraft is 5 nm port of desired track


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CALCULATION OF SPEED AND SOUND

23. Use is made of the Temperature Scale in AIR SPEED window and the MACH NO INDEX which will be found by rotating the inner disc clockwise beyond the 65,000 feey pressure altitude mark

Method

1. In AIR SPEED window, set MACH NO INDEX opposite corrected air temperature.
2. Opposite 1 on the inner scale, read off the speed of sound (in knots) on the outer scale.

Example
What is the speed of sound at a corrected air temperature of -35 deg C

1. In AIR SPEED window, set MACH NO INDEX Opposite -35 deg C
2. Opposite 1 on the inner scale, read 600 on the outer.
Answer
The speed of sound at -35 deg C is 600 knots

NOTE The speed of sound is Mach 1.0 and as these two figures are opposite each other on the computer, conversions of TAS to mach number can now be made, i.e. at -35 deg C Mach 0.8 gives TAS of 480 knots and 330 knots is the same as M 0.55


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WIND TRIANGLE PROBLEMS CRP-1 and 4

The use of the "Wind Arm" type computer is described in para 28 below

24. To set the wind velocity

Method

1. Set wind direction at the TRUE HEADING index
2. Select "L" or "H" side of the slide showing both the TAS and the G/S. Mark in on the zero drift line a wind cross (+) (in soft pencil0 below the centre dot at a distance representing wind speed to scale

Example
Set on the wind velocety of 230/35 knots. (TAS 135 knots)

1. Set 230 at the true heading index
2. Using "L" side of the scale, mark in wind +35 units below the centre dot


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25. To find Track and Groundspeed

Method

1. Mark in wind +
2. Set Hdg(T) at TRUE HEADING index
3. Set TAS beneath centre dot
4. Beneath wind + read off G/S and Drift
5. Beneath drift (at 4 above) on outer drift scale, read off TR(T) on inner circular scale

Example
Hdg(T) 140: W/V 230/35; TAS 135; What is Tr and G/S?

1. Mark in wind + (as at 24 above)
2. Set 140 at TRUE HEADING Index
3. Set centre dot over 135
4. Beneath wind + read off G/S 140 and Drift 14 deg Port
5. Beneath 14 deg P on outer drift scale, read Tr 126(T) on Inner scale
Answer
Hdg 140(T); TAS 135; W/V 230/35; gives Tr 126(T); G/S 140


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26. To find Heading, Groundspeed and Drift

Method

1. Mark in wind +
2. Set TAS under centre dot
3. Set Tr at TRUE HEADING wind +
4. Read off Drift below wind +
5. Set Tr Beneath drift read off at (4) on drift scale
6. Repeat (4) & (5) until the drift beneath the wind cross and the drift at the wind scale are the same
7. Read off drift at G/S beneath wind +
8. Read off Hdg(T) at TRUE HEADING index

Example
W/V 325/40; Tr 2609T0; tas 120; What is Hdg(T), G/S and Drift?

1. Mark in wind + (use "L" side of slide)
2. Set 120 beneath center`dot
3. Set 260 at TRUE HEADING index
4. Read off drift 20 deg P beneath wind +
5. Beneath 20 P on drift scale, set Tr 260
6. Beneath wind + read drift 18 deg P
7. Beneath 18 P on drift scale, set Tr 260
8. Beneath wind + read drift 18 deg P (same as beneath wind +)
9. Read off G/S 97 and drift 18 deg P
10. Read off Hdg 278(T)
Answer
W/V 325; Tr 260(T); TAS 120; gives Hdg 278(T), G/S 97 and 18 deg P


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27. To find Wind Velocity

Method

1. Set Hdg at TRUE HEADING index
2. Set TAS beneath centre dot
3. Mark in wind + on plotting disc at intersection of drift line and G/S arc
4. Rotate plotting disc until wind + lies on zero drift line beneath the centre dot
5. Read off wind direction ay TRUE HEADING index and wind speed to scale

Example
Hdg 180(T); TAS 315; Tr 188(T); G/S 335; What is W/V

1. Set 180 at TRUE HEADING index
2. Set 315 beneath centre dot ("H" side of slide)
3. Above 188 on circular scale, read off drift 8 S; on plotting disc at intersection of 335 groundspeed arc and 8 S drift line
4. Rotate disc until wind + lies on zero drift line beneath the centre dot
5. Read off wind direction 070 and wind speed 50
Answer
Hdg 180(T); TAS 315, Tr 188(T); G/S 335, gives W/V 070/50


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USE OF WIND ARM (CRP-2 & 8)

29. To find headwind and crosswind components for a given runway direction

Method

Use the "L" side of the slide
1. Set the wind direction (deg M) at the TRUE HEADING index
2. Set the centre dot over the zero of the squared graph at the bottom of the slide
3. Beneath the centre dot mark the wind speed to scale
4. Set runway direction (deg M0 at the TRUE HEADING index
5. Beneath wind + read off cross wind perpendicular to the centre line
6. Beneath wind + read of headwind on the line parallel to the centre line

Example
W/V 260(M)/40: Runway direction 225(M); what are the headwind and crosswind components?

1. Set 260 at TRUE HEADING index
2. Set zero of squared graph ("L" side of slide) beneath centre dot
3. Mark in wind + 40 units below the centre dot on the centre lone of the graph
4. Set 225 at TRUE HEADING index
5. Beneath wind + read off perpendicular to the centre line of crosswind of 23 knots
6. Beneath wind + read of headwind component of 34 knots on the line parallel to the centre line
Answer
On runway direction 225(M) with a surface wind of 260/40 the headwind component is 34 knots and the crosswind component is 23 knots from the right (wind cross is to the left of the centre line)

NB If a "Wind Arm" type computer is being used, set runway direction at TRUE HEADING index and then establish wind point as already discribed. Read off components beneath the wind point as at (5) and (6) above


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30. Bearing Selector Computer CRP-3

Use of Bearing Selector The CRP-3 Computer has the same curcular slide rule scale as the CRP-1, 2, 4 and 6 but in addition on the reverse side of the 4 1/2 inch diameter computer, a Bearing Selector has been incorporated to help solve the problem of A.D.F. Bearings which normally face the Student Instrument Pilot and indeed those who already hold instrument Ratings.
The Selector can also be used for Holding Pattern work.

Method

To intercept a selected track to an N.D B. set red arrow opposite actual aircraft heading and read off the Centre Scale required Track to Beacon against inner Scale.
The figure on the Inner Scale will be the one which will be indicated ob the Radio Compass when the required Track is reached.
To reach the Track from a Beacon, read off the Outer Scale.

Example
Aircraft heading is 344' and you wish to intercept the inbound track of 245' to the N.D.B. what will be the realitive bearing of the N.D.B. on intercepting the inbound track of 245'?

1. Set the red arrow on the selector opposite 344' on the inner scale
2. Opposite 245' on the innermost scale read off 229' on the inner scale
Answer
Turn on to 245' inbound track when radio compass reads 229' relative


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31. To convert speeds (s) into ratios (r) of TAS and vice versa

Method

Use the circular slaide rule side of the CRP-6 for these conversions 1. Set 1 on the inner scale opposite TAS on the outer scale
2. (a) Opposite (s) on the outer scale read off (r) on the inner scale, (speed to ratio)
(b) Opposite (r) on the inner scale read off (s) on the outer scale, (ratio to speed)

Example (a)
TAS 214 Kt W/V 30 Kt, find Wind Speed ratio

1. Set 1 on inner scale opposite 214 on outer scale
2. Opposite 30 on the outer scale read 14 on inner scale
Answer
TAS 214Kt: Wind Speed 30 Kt, Wind Speed ratio = 0.14

Example (b)
TAS 1040 Kt G/S 1.13, find G/S

1. Set 1 on inner scale opposite 1040 on outer scale
2. Opposite 1.13 on the outer scale read 1175 on inner scale
Answer
TAS 1040 Kt: G/S ratio = 1175 Kt.


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32. To find Track and Groundspeed

Method

1. Convert the Wind Speed ratio(see paragraph 31)
2. Mark on wind arm the Wind Speed ratio
3. Rotate the wind arm to set the WIND DIRECTION line over the wind direction on the outer compass rose.
4. Holding the wind arm in place rotate the grided disc until the HEADING INDEX is opposite the heading on the outer compass rose
5. Under the index on the wind arm read off the drift and G/S radio
6. Opposite this drift on the drift scale read off the Track on the outer compass rose.
7. Convert the G/S ratio into a Ground Speed (see paragraph 31)

Example
Hdg (T) 265; W/V 210/35; TAS 290 Kt.
What is Tr and G/V?

1. Calculate Wind Speed ratio. 1 on inner scale against 290 on the outer scale, against 35 on the outer scale read radio (0.12) on inner scale
2. Set index on wind arm to 0.12
3. Rotate the wind arm until WIND DIRECTION line lies over 210' on the outer compass rose.
4. Holding the wind arm in place rotate the grided disc until the HEADING INDEX points to 265' on the outer compass rose
5. Under the index on the wind arm read off the drift (6'S) and G/S radio (0.93)
6. Against 6' Starboard on the drift scale read off the Track on the outer compass rose (271')br> 7. Convert the G/S ratio into a Ground Speed 1 on inner scale against 290 on outer scale (as for first stage above0, against 0.93 on inner scale read off G/S on outer scale (271 Kt)
Answer
Hgg (T) 265; W/V 210/35; TAS 290 Kt gives Trk 271' (T) G/S 271 Kt


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33. To find Heading, Groundspeed and Drift

Method

1. Set text
2. text

Example
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1. text
2. text
Answer
text


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To find the Wind Velocity

Method

1. Set text
2. text

Example
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1. text
2. text
Answer
text


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