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En Route Performance CPL Performance
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Aim To introduce the performance aspects associated with the climb, cruise and descent segments of flight
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Objectives State the factors effecting climb performance
Calculate the Climb Gradient Calculate the maximum Rate of Climb (or descent) required to avoid controlled airspace State the factors effecting cruise performance Define Range and state how to fly for maximum range Define Endurance and state how to fly for maximum endurance
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1. Climb Performance We can describe climb performance as either Rate of Climb or Angle of Climb Rate of Climb (RoC): Altitude gained over time. Expressed in feet per minute (fpm).
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1. Climb Performance Angle of Climb (AoC):
Altitude gained over distance. Expressed as an angle.
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1. Climb Performance Types of Climbs
Whenever we fly we generally aim for a particular performance For the climb we can choose from: Best Rate of Climb (Vy) Best Angle of Climb (Vx) Cruise Climb
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1. Climb Performance Best Rate of Climb (Vy) Best Angle of Climb (Vx)
Cruise Climb Cruise Climb
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1. Climb Performance During your BAK studies we discussed factors effecting climb performance. A summary can be found below. Factor Effect on RoC Effect on AoC Power Altitude Weight Flap Wind (Extended) (Headwind) N/A (Tailwind)
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1. Climb Performance Climb Planning
In the POH for each aircraft you will find details about climb performance. This will include the time fuel and distance required to climb to each altitude It may be in the form or a table or a graph
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2. Climb Gradient A measure of climb performance is the climb gradient which can be achieved Climb gradient is a measure of the height gained per distance travelled expressed as a percentage ie, Climb Gradient = 𝐻𝑒𝑖𝑔ℎ𝑡 𝑔𝑎𝑖𝑛𝑒𝑑 𝐷𝑖𝑠𝑡𝑎𝑛𝑐𝑒 𝑡𝑟𝑎𝑣𝑒𝑙𝑙𝑒𝑑 %
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2. Climb Gradient For example, you climb 500ft while covering a distance of 8,000ft. What is your climb gradient? Height Gained 500 ft Distance Travelled 8000 ft The climb gradient can be calculated as follows: To Convert to percentage multiply by 100 0.063 x 100 = 6.3% Climb Gradient = ℎ𝑒𝑖𝑔ℎ𝑡 𝑔𝑎𝑖𝑛𝑒𝑑 (𝑓𝑡) 𝐷𝑖𝑠𝑡𝑎𝑛𝑐𝑒 𝑡𝑟𝑎𝑣𝑒𝑙𝑙𝑒𝑑(𝑓𝑡) = = 0.063 That is, for each 1 ft travelled we climb 0.063ft
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2. Climb Gradient We can also work out our climb gradient based on our current Rate of Climb and Groundspeed Climb Gradient = 𝑅𝑎𝑡𝑒 𝑜𝑓 𝐶𝑙𝑖𝑚𝑏 (𝑓𝑝𝑚) 𝑆𝑝𝑒𝑒𝑑
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2. Climb Gradient For example, you are climbing at 650fpm with a TAS of 110kts and a 10kt tailwind. What is your climb gradient? 650fpm TAS +- Wind = Groundspeed 110-10=100kts Climb Gradient = 𝑅𝑎𝑡𝑒 𝑜𝑓 𝐶𝑙𝑖𝑚𝑏 (𝑓𝑝𝑚) 𝑆𝑝𝑒𝑒𝑑 = = 6.5 %
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3. Avoiding CTA When climbing (or descending) you may have a requirement to remain in a certain class of airspace Due to the structure of controlled airspace there are “steps” which you must be aware of 50nm CLASS C 35nm 6000 CLASS G 25nm 4000 3000
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3. Avoiding CTA When calculating a climb to remain outside of CTA the first thing to do is check if there is a limiting step A limiting step has the shallowest profile; least height gain for a given distance This is important as you may have to lower your climb rate or delay the climb. 50nm CTA 35nm 6000 Non critical 25nm 4000 Critical 3000
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3. Avoiding CTA Limiting Steps: we can see that the 10/1000 step profile is has a shallower profile than 15/2000, therefore if you wish to climb at a constant RoC you will need to determine a RoC which will not infringe this limiting step Required RoC = 𝐻𝑒𝑖𝑔ℎ𝑡 𝑡𝑜 𝑐𝑙𝑖𝑚𝑏 𝑡ℎ𝑟𝑜𝑢𝑔ℎ(𝑓𝑡) 𝑙𝑒𝑛𝑔𝑡ℎ 𝑜𝑓 𝑠𝑡𝑒𝑝 x 𝑔𝑟𝑜𝑢𝑛𝑑𝑠𝑝𝑒𝑒𝑑 60 50nm CTA 35nm 6000 Non critical 25nm 4000 Critical 3000 10nm/1000 step 15nm/2000 step
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3. Avoiding CTA For example, the steps are as pictured below and you have a groundspeed of 120kts. What is the maximum rate of climb you can maintain without entering CTA? Required RoC = 𝐻𝑒𝑖𝑔ℎ𝑡 𝑡𝑜 𝑐𝑙𝑖𝑚𝑏 𝑡ℎ𝑟𝑜𝑢𝑔ℎ(𝑓𝑡) 𝑙𝑒𝑛𝑔𝑡ℎ 𝑜𝑓 𝑠𝑡𝑒𝑝 x 𝑔𝑟𝑜𝑢𝑛𝑑𝑠𝑝𝑒𝑒𝑑 60 = x = 200fpm 50nm CTA 35nm 6000 Non critical 25nm 4000 Critical 3000 10nm/1000 step 15nm/2000 step
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3. Avoiding CTA The method is the same for calculating a descent profile to remain inside or outside of airspace When planning our descent we must also calculate where we will be starting the descent The formula we use for this is: Distance on Descent = 𝑇𝑜𝑡𝑎𝑙 ℎ𝑒𝑖𝑔ℎ𝑡 𝑡𝑜 𝑑𝑒𝑠𝑐𝑒𝑛𝑡 𝑡ℎ𝑟𝑜𝑢𝑔ℎ (𝑓𝑡) 𝐶𝑎𝑙𝑐𝑢𝑙𝑎𝑡𝑒𝑑 𝑚𝑖𝑛𝑖𝑚𝑢𝑚 𝑅𝑜𝐷 x 𝑔𝑟𝑜𝑢𝑛𝑑𝑠𝑝𝑒𝑒𝑑 60
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3. Avoiding CTA 50nm 8000 CTA 35nm 6000 25nm Non critical 4000
3000 10nm/1000 step 15nm/2000 step For example, the steps are as pictured above, you are cruising at 5500ft and you have a groundspeed of 130kts. You are planning to descent to 2000ft. What is the minimum rate of descent you require without entering CTA? Required RoD = 𝐻𝑒𝑖𝑔ℎ𝑡 𝑡𝑜 𝑑𝑒𝑠𝑐𝑒𝑛𝑡 𝑡ℎ𝑟𝑜𝑢𝑔ℎ(𝑓𝑡) 𝑙𝑒𝑛𝑔𝑡ℎ 𝑜𝑓 𝑠𝑡𝑒𝑝 x 𝑔𝑟𝑜𝑢𝑛𝑑𝑠𝑝𝑒𝑒𝑑 60 = x = 216fpm
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4. Cruise Performance Cruise performance data is presented in either tabular or graphical format. Both show fuel flow and TAS for conditions of engine RPM and percentage power, against cruise level and temperature Cruise performance assumes correct leaning of the mixture PRESSURE ALTITUDE(FT) RPM 20C - STANDARD TEMPERATURE STANDARD TEMPERATURE 20C + STANDARD TEMPERATURE %BHP KTAS GPH 6000 2600 --- 77 119 8.6 72 118 8.1 2500 73 114 8.2 69 113 7.8 66 112 7.4 2400 108 63 107 7 60 106 6.7 2300 103 57 101 6.4 55 99 6.2 2200 54 96 6.1 52 95 5.9 50 92 5.8 2100 49 90 5.7 47 88 5.5 46 86 8000 2650 121 120 8.7 117 70 111 7.1 58 104 6.5 100 53 97 6 93 91
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4. Cruise Performance To use the tables find the desired % power for the intended cruise level then read off the TAS, fuel flow and RPM For example, if the planned altitude is 6000ft on an ISA day. What RPM should we use and what TAS and fuel flow should we expect if we want 65% power? PRESSURE ALTITUDE(FT) RPM -20C STANDARD TEMPERATURE STANDARD TEMPERATURE 20C +STANDARD TEMPERATURE %BHP KTAS GPH 6000 2600 --- 77 119 8.6 72 118 8.1 2500 73 114 8.2 69 113 7.8 66 112 7.4 2400 108 63 107 7 60 106 6.7 2300 103 57 101 6.4 55 99 6.2 2200 54 96 6.1 52 95 5.9 50 92 5.8 2100 49 90 5.7 47 88 5.5 46 86 8000 2650 121 120 8.7 117 70 111 7.1 58 104 6.5 100 53 97 6 93 91
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4. Cruise Performance When considering cruise performance we can elect to cruise in a number of different configurations based on our specific requirements These requirements may be: Travel the furthest distance for the fuel on board Stay in the air for the longest possible time Operate the aircraft at the lowest cost Get to the destination at in the minimum amount of time
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5. Range Range We may be given the requirement to “travel the furthest distance for a given amount of fuel” This is known as flying for Maximum Range Flying for maximum range is often a requirement if we need to carry the maximum amount of payload
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5. Range Range To fly for Maximum range we require the best ratio of TAS to fuel flow For our aircraft the fuel flow relates directly to the PWR required Pwr Reqd. Power Velocity (TAS)
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5. Range Range To find the best ratio of TAS to fuel flow (in nil wind) we plot a tangent to the PWR required graph which intersects at the origin Pwr Reqd. Power Velocity (TAS)
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5. Range Range If we have any wind we must take this into account To do this we move the point where we draw the tangent from to a location on the graph where the groundspeed is 0 Eg, if we have a 20kt headwind: Pwr Reqd. Power 20kt Velocity (TAS)
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5. Range Range Pwr Reqd. Eg, if we have a 20kt tailwind: Power
Velocity (TAS)
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5. Range Range Pwr Reqd. Comparison of wind conditions on range Power
Headwind Power Nil Wind Tailwind 20kt 20kt Velocity (TAS)
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5. Range Range In practice we do not have a PWR required graph for our aeroplane so we must derive this information from the cruise performance tables We need to determine the maximum distance we can travel for the minimum fuel If we divide the groundspeed by fuel flow we can determine our Ground Nautical Miles per gallon of fuel Ground Nautical Miles per gallon = 𝐺𝑆 𝐹𝑢𝑒𝑙 𝐹𝑙𝑜𝑤
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5. Range Range Here is a cruise performance chart for a typical C172
For nil wind conditions the GNMPG has been calculated PRESSURE ALTITUDE(FT) RPM -20C STANDARD TEMPERATURE STANDARD TEMPERATURE %BHP KTAS GPH GNMPG 6000 2600 --- 77 119 8.6 2500 73 114 8.2 69 113 7.8 2400 66 108 7.4 63 107 7 2300 60 103 6.7 57 101 6.4 2200 54 96 6.1 52 95 5.9 2100 49 90 5.7 47 88 5.5 16 8000 2650 121 8.7 118 70 112 7.1 106 55 100 6.2 6 50 93 5.8 Green Line shows best range in nil wind in ISA conditions Occurs at higher altitude and 2300 RPM for 8000ft
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6. Endurance Endurance If we have a requirement to “stay in the air for the longest time” This is known as flying for Maximum Endurance Flying for maximum endurance is often a requirement if we need to hold for weather
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6. Endurance Endurance Pwr Reqd.
To fly for Maximum Endurance we require the minimum fuel flow For our aircraft the fuel flow relates directly to the PWR required Pwr Reqd. Power Velocity (TAS)
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6. Endurance Endurance Pwr Reqd.
When PWR required is at a minimum fuel flow is at a minimum therefore that is the PWR required for maximum range Pwr Reqd. Power Velocity (TAS)
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6. Endurance Endurance Wind has no significant effect on endurance as the distanced covered is not important When flying for maximum endurance you should fly at the minimum altitude (safely!) as PWR required increases with an increase in altitude The speed for maximum range corresponds to Vy
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