Takeoff Performance

Introduction:

Determining Takeoff Distances:

  • Takeoff distance is calculated using performance charts, which can be found in your Pilot Operating Handbook/Airplane Flying Manual
  • Once calculated, cross-check the required takeoff distance against runways available to see what is or is not acceptable
  • Takeoff Distance Variables:

    • Gross Weight:

      • As gross weight increases, the difference between nose-wheel lift-off and takeoff speed decreases
      • When an instructor is not in the plane, the pitch attitude may differ
        • The aircraft will be airborne sooner, climb more rapidly, and have higher performance
    • Center of Gravity:

      • The farther forward the CG, the longer the takeoff roll
      • More authority is required to lift a heavy nose
      • This can be amplified with heavy takeoff weight
      • As CG moves forward, the difference between nose-wheel lift-off and takeoff speed decreases
    • Nose Strut:

      • If the nose-wheel is improperly serviced:
        • If the oil level is high, the springboard effect is reduced, but the change in shock absorber effect is minimal (strut compression on landing)
        • If the oil level is low, the reverse is true; springboard effect is essentially normal, but shock absorption is poor
    • Power Settings:

      • Applying power to quickly may yaw the aircraft to the left due to torque, most apparent in high-powered engines
    • Flight Profile Flown:

      • The Pilot Operating Handbook/Airplane Flight Manual will specify different configurations and procedures with which to fly
      • Flaps:

        • Flaps are considered high-lift devices
        • The use of flaps allows for the aircraft to create more lift on takeoff, allowing quicker rotation into the ground effect, and reducing takeoff distance
          • Aircraft must accelerate sufficiently in ground effect, however, before continuing a climb
        • When lowering flaps, you are changing the chord line, which increases the angle of attack (AoA)
        • This increase in AoA causes the aircraft's wing to suddenly create more lift, and therefore the aircraft will "balloon"
        • When lowering flaps, anticipate this balloon effect by being ready to lower the nose
    • Outside Air Temperature:

      • Temperature is a key variable in determining density altitude
      • As temperature rises, so does density altitude
      • Conversely, density altitude drops with temperature
      • Engine performance decreases with higher temperatures
    • Field Elevation/Density Altitude:

      • The field elevation is irrelevant besides the fact that it correlates to starting at a higher density altitude
      • While density altitude can actually be lower than field elevation, an aircraft on that same day at a lower altitude would almost definitely experience a lower density altitude as well, barring any environmental phenomena
      • Higher density altitudes can result in higher engine operating temperatures (they're working harder to obtain performance) and longer takeoff rolls with longer abort rolls when applicable
      • In some aircraft, maximum tire speed may also be a factor as the aircraft needs to move faster to achieve required performance
      • Consider planning to the 70/50 rule for takeoff, whereby if you haven't achieved 70% of your rotation speed by 50% of the runway, you should abort
    • Surface Winds:

      • The winds impact how air flows over the wing of an aircraft
      • Headwinds work with the motion of the aircraft to increase flow, while tailwinds push against the normal flow of air
      • As a result, with a headwind, the airplane already feels some airflow over the wings before it starts to roll, thereby generating lift faster and decreasing the takeoff roll
      • With a tailwind you would have increased speed to develop minimum lift, causing stress on tire, and increased takeoff distance
      • Tailwind impacts are often far more detrimental than many realize
        • They the increase runway distance required for takeoff
        • They also may decrease directional stability, particularly before control surfaces have the authority to counteract
      • Once an aircraft is airborne, the effect of winds change as the aircraft is moving relative to the airmass, not the ground
    • Runway Slope:

      • Airports are not perfectly flat, and they will have some variance in altitude from one end to another, especially at large airfields
      • Much like when driving a car, moving an airplane uphill requires the engine to work harder to accelerate, which results in a longer time to reach rotation speeds, increasing takeoff roll
      • Conversely, taking off downhill allows for faster acceleration, resulting in a shorter takeoff roll
      • When available, runway slope data will be provided. Runway slope will be shown only when it is 0.3 percent or greater. On runways less than 8000 feet, the direction of the slope up will be indicated, e.g., 0.3% up NW. On runways 8000 feet or greater, the slope will be shown (up or down) on the runway end line, e.g., RWY 13: 0.3% up., RWY 31: Pole. Rgt tfc. 0.4% down
      • Aircraft slope can be determined by referencing the airport diagram found in the Chart Supplement U.S. or online at FAA.gov, or commercial sources
    • Windshear:

      • Wind shear is a change in wind speed and/or direction over a short distance
      • It can occur either horizontally or vertically and is most often associated with strong temperature inversions or density gradients
      • Four common sources of low-level wind shear are:
        • Frontal activity
        • Thunderstorms
        • Temperature inversions
        • Surface obstructions
      • Read more here
      • If available, utilize information from Low-Level Wind Shear and Microburst Detection Systems
    • Runway Surface Condition:

      • Pavement, grass, gravel, water, snow, ice, rubber slicks
      • Consider increasing margins for aborting takeoff to avoid losing control during an abort
      • Snow, Ice, and Slush:
        • Snow, ice, and slushy conditions create a hazardous runway environment
        • Consider utilizing soft field takeoff and landing procedures, minimizing opportunities to kick up hazards or lose control
      • Hydroplaning:
        • Dynamic Hydroplaning:
          • Dynamic hydroplaning occurs when standing water on a wet runway is not displaced from under the tires fast enough to allow the tire to make pavement contact over its total footprint area
          • The tire rides on a wedge of water under part of the tire surface
          • It can be partial or total hydroplaning, meaning the tire is no longer in contact with the runway surface area
          • It is possible that as the tire breaks contact with the runway the center of pressure in the tire footprint area could move forward
          • At this point, total spin-down could occur, and the wheel stops rotating, which results in total loss of braking action
          • The speed at which this happens is called minimum total hydroplaning speed
        • Viscous Hydroplaning:
          • Viscous hydroplaning can cause complete loss of braking action at a lower speed if the wet runway is contaminated with a film of oil, dust, grease, rubber, or the runway is smooth
          • The contamination combines with the water and creates a more viscous (slippery) mixture
          • It should be noted that viscous hydroplaning can occur with a water depth less than dynamic hydroplaning, and skidding can occur at lower speeds, like taxiing during light rain, applying the brakes, and rolling over an oil spill
          • With regards to rubber, consider that rubber is found primarily on the approach and departure end of the runway
        • Rubber Reversion Hydroplaning:
          • Rubber reversion hydroplaning is less known and is caused by the friction-generated heat that produces superheated steam at high pressure in the tire footprint area
          • The high temperature causes the rubber to revert to its uncured state and form a seal around the tire area that traps the high-pressure steam
          • It is theorized that this condition would occur on damp runways or when touchdown occurs on an isolated damp spot of a dry runway, which results in no spin-up of the tires and a reverted rubber skid
    • Tire Pressure

      • Braking effectiveness is a factor of tire pressure
      • Pressure also impacts the speed at which hydroplaning can occur
      • Fly per the aircraft's Pilot Operating Handbook
    • Inoperative Equipment

Calculating Takeoff Performance:

  • Normal Takeoff and Climb
  • Crosswind Takeoff and Climb
  • Determining Short Field Takeoff Performance:

    • Use the chart for all performance data specific to an aircraft, in this example, a Cessna 172
    • Typically, there will be more than one chart for the same thing, separated by weight or aircraft configuration conditions
    • Always round up if your weight is not close to the reference weights they provide; this is because takeoff data will never improve with weight, and therefore, your numbers will be more conservative and provide a safety margin
      • Conditions:

        • Aircraft Weight: 2300lbs
        • Altitude: 3,000' MSL
        • 20°C Outside Air Temperature
      • Chart:

        [Figure 1]
        • Starting at the left with the altitude, continue right across the chart until you reach the appropriate temperature
        • We expect a 1,100' takeoff without obstacles and 1,970' with a 50' obstacle
          • With a headwind of 9 knots, we can expect 990' takeoff without obstacles and 1,773' with a 50' obstacle
          • With a tailwind of 4 knots, we can expect 1,320' takeoff without obstacles and 2,364' with a 50' obstacle
    • Crosswind Component Chart
      Short Field Takeoff Performance
  • Soft-Field Takeoff and Climb

Abort Planning:

  • Consider how much distance is required to stop the aircraft from rotation speed
  • Based on stopping distance, pick a point on the runway as an abort point
  • Make the abort point part of takeoff checks to ensure it is not reached before obtaining the desired performance

Published vs. Realized Performance:

  • Although general aviation charts found in the POH/AFM do not consider every variable, it is important to have an understanding of the various conditions that may exist
    • If not published, the conditions were likely most ideal, with a new engine and flown by an experienced test pilot
    • It is highly recommended to add up to a 50% safety margin to any performance number before pushing the performance limits of an aircraft

Climb Planning:

  • Climb Planning is necessary for several reasons, which include flight planning and obstacle clearance

Takeoff Performance Case Studies:

Climb Performance:

  • Climb performance is a measure of excess thrust, which generally increases lift to overcome other forces, such as weight and drag
    • This is true for most aircraft, although some high-performance aircraft can function like rockets for a limited time, utilizing thrust to lift away from the earth vertically, with no lift required
  • Excess power or thrust, terms that are incorrectly used interchangeably, allow for an aircraft to climb

Power vs. Thrust:

  • Power and thrust are not the same, despite their use as such
  • Power is a measure of output from the engine, while thrust is the force that actually moves the aircraft
    • In a piston aircraft, power is converted to thrust through the propeller
    • In a jet aircraft, the engine produces thrust directly from the engine
  • When you are moving the throttle controls inside of the aircraft, you're controlling the engine, and that is why they are referred to as power levers
  • Therefore, the best angle of climb (produces the best climb performance with relation to distance, occurs where the maximum thrust is available
  • The best rate occurs where the maximum power is available)

Propulsion vs. Drag:

  • The relationship between propulsion and drag is such that it takes a certain amount of power/thrust to overcome drag both on the high end (the faster you go) and also on the low end (the slower you go)
  • This is noticeable during slow flight, where you find yourself adding extra power to overcome all the increases in drag that are necessary to sustain lift
  • If you fall "behind the power curve," however, you're in a position where you cannot generate immediate performance by simply increasing power
    • The increase in power must first overcome the increased drag, and then the expected performance will occur
  • You can learn more here: https://www.aopa.org/news-and-media/all-news/2013/november/pilot/proficiency-behind-the-power-curve

Best Angle vs. Best Rate of Climb:

  • Ultimately, it is because of excess power (or thrust) that an aircraft climbs
  • For the purpose of the initial climb, however, we are concerned with our aircraft's performance to get away from the ground
  • Certain conditions will call for a specific climb profile, generally the best rate (Vy) or angle (Vx) of climb
  • Best Angle-of-Climb:

    • Max excess thrust results in the best angle of climb
    • Occurs at L/Dmax for a jet
    • Occurs below L/Dmax for a prop
    • Reduced distance to climb to the same altitude as Vy, but reaches that altitude slower
  • Best Rate-of-Climb:

    • The best rate of climb, or Vy, maximizes velocity to obtain the greatest gain in altitude over a given period of time
    • Vy is normally used during climb after all obstacles have been cleared
    • It is the point where the largest power is available
    • Occurs above L/Dmax for a jet
    • Occurs at L/Dmax for a prop
    • Provides more visibility over the cowling
    • Increases airflow over the engine while at high power
    • Provides additional buffer from stall speeds
    • Takes more distance to reach the same altitude as Vx, but reaches that altitude quicker
  • Airplane Flying Handbook, Best angle of climb verses best rate of climb
    Airplane Flying Handbook
    Best angle of climb verses best rate of climb

Factors Impacting Climb Performance:

  • There are several factors which can impact climb performance:
    • Aircraft Weight:

      • One of the most basic considerations with regard to aircraft performance is weight, as it is a principle of flight
      • The higher the weight of an aircraft, the more lift will be required to counteract
      • Unless otherwise indicated, climb performance airspeeds are published at mass gross takeoff weight
        • Both Vy and Vx decrease by about 1 knot for each 100 pounds below mass gross takeoff weight
    • Temperature:

      • Ambient air temperatures impact an aircraft's performance based on their physical properties
      • Engines don't like to run hot, and if they do, then reduced throttle settings may be required
      • Temperature is also a leading factor in determining the effect of air density on climb performance
      • Consider utilizing a cruise climb once practical to increase airflow over the engine
    • Air Density:

      • Air density, and more specifically, density altitude, is the altitude at which the aircraft "thinks" it is at
      • Performance does not depend on the physical altitude, but rather the density altitude, and the higher the temperature, the higher that altitude
      • As the engine and airframe struggle to perform, expect changes to characteristics like a reduced climb attitude
      • For each 1,000' increase in density altitude from sea level, Vy will reduce by 1%
        • As a rule of thumb for GA aircraft, Vy decreases by 1 knot of indicated airspeed for each 1,000' increase in density altitude
      • For each 1,000' increase in density altitude from sea level, Vx will increase by 0.5%
        • As a rule of thumb for GA aircraft, Vx increases by 1 knot of indicated airspeed for each 2,000' increase in density altitude
    • Winds:

      • Headwinds increase performance by allowing wind flow over the wings without any forward motion of the aircraft
      • Tailwinds do the opposite
    • Aircraft Condition:

      • Smooth, parasite-free wings produce the best lift
      • Anything to interrupt the smooth flow of air or increase drag will require additional forward movement, or thrust, to overcome
    • Icing:

      • Increased drag will require increased power, and therefore, during the climb, may result in decreased climb performance
    • Aircraft Engine Age:

      • As aircraft age, their power available tends to decrease, resulting in decreased climb performance

Determining Rate-of-Climb Requirements:

  • Used to determine the rate of climb for a given departure/climb out
    • Formula:

      • Ground Speed (GS) (knots) ÷ 60 * Climb Gradient (Feet Per Mile)
    • Example:

      • Ground Speed = 75 knots
      • Climb Gradient Required = 200 feet per mile
    • Calculate:

      • 75 ÷ 60 * 200 = 250 feet per minute climb rate required

Conclusion:

  • Takeoffs are optional, but landings are mandatory
    • Make decisions early as to whether or not a takeoff under existing conditions is wise
  • POH numbers require POH technique, which may not be the type of takeoff (normal, short, soft, etc.) which you plan to execute
  • Takeoff distances per the book are performed under test conditions, and therefore, applying a margin of safety is recommended
    • Margins should be higher as more variables apply, such as more baggage, more passengers, etc.
  • Pay attention to winds before takeoff - save tailwinds for cruise
  • Pilots must be familiar with their aircraft's performance per Federal Aviation Regulations
  • Climb performance is governed by FAR Part 23, depending on aircraft weight
  • Pilots may always deviate from climb numbers for factors like cooling or the ability to locate and follow traffic
  • Remember, when flying under instrument conditions, minimum climb gradients are expected unless a deviation is communicated and authorized as applicable
  • Check out the AOPA's density altitude quiz
  • Review your seaplane safety knowledge by taking the Air Safety Institute's "Invasive Species" quiz
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References: