PHAK · PHAK Chapter 10

Takeoff Obstacle Clearance

Master takeoff obstacle clearance: V_X vs. V_Y, climb gradient math, 50-ft obstacle distance, density altitude effects, and the 50/70 rule for safe departures.

CFI's Whiteboard Explanation

Obstacle clearance is about angle, not rate. Your POH gives a takeoff distance to clear a 50-foot obstacle — but if the tree is taller or farther down the field, you have to do the math yourself.

Climb V_X (best angle) until clear, then push over to V_Y for cooling and visibility. Remember: groundspeed kills your gradient, so a tailwind makes obstacle clearance much worse even if your VSI looks fine. Hot, high, heavy, humid, or grassy? Add big margins or wait. And always run the 50/70 rule — 70% of liftoff speed by 50% of runway, or you abort.

Handbook Reference
PHAK Ch 10

10.obstacle-clearance. Takeoff Obstacle Clearance

Takeoff obstacle clearance is the pilot's analytical determination that the airplane can safely accelerate to liftoff speed, climb away from the runway, and clear any terrain, trees, towers, wires, or structures along the departure path with adequate margin. The Pilot's Operating Handbook (POH) takeoff performance section is the primary tool for this analysis, and 14 CFR 91.103 obligates the pilot in command to become familiar with this information before any flight.

Required Distances

Most POHs publish two takeoff distance values for each combination of weight, pressure altitude, temperature, wind, and runway condition:

  • Ground roll — distance from brake release to the point of liftoff.
  • Total distance over a 50-foot obstacle — distance from brake release to the point at which the airplane reaches 50 feet AGL while accelerating to the published 50-foot speed (typically V_X or a slightly higher reference).

The difference between these two figures represents the horizontal distance consumed during the initial climb to 50 feet. If a real obstacle is taller than 50 feet, or located beyond the end of the published distance, the pilot must compute whether the airplane's climb gradient is adequate to clear it.

Climb Gradient vs. Climb Rate

Obstacle clearance is fundamentally a question of climb gradient (feet of altitude gained per foot of horizontal distance), not climb rate (feet per minute). Gradient can be computed as:

Gradient (ft/NM) = Rate of climb (ft/min) ÷ Groundspeed (NM/min)

Or expressed as a percent:

Gradient (%) = (Rate of climb ÷ Groundspeed in ft/min) × 100

Because gradient depends on groundspeed, a tailwind dramatically reduces the gradient even when the rate of climb is unchanged. This is why takeoff into the wind always improves obstacle clearance performance.

V_X vs. V_Y

Two published climb speeds matter for departure planning:

  • V_X — best angle of climb. Produces the greatest altitude gain per unit of horizontal distance. Used when an obstacle must be cleared.
  • V_Y — best rate of climb. Produces the greatest altitude gain per unit of time. Used when no obstacle is a factor and the pilot wants to reach cruise altitude quickly.

Both speeds decrease slightly with altitude; V_X increases and V_Y decreases until they converge at the airplane's absolute ceiling. After clearing the obstacle, the pilot transitions from V_X to V_Y to improve cooling and visibility over the nose.

Factors That Degrade Performance

Any factor that increases density altitude or reduces thrust lengthens takeoff roll and flattens the climb gradient:

  • High pressure altitude (high field elevation or low altimeter setting).
  • High outside air temperature.
  • High humidity.
  • Heavy gross weight.
  • Soft, wet, or contaminated runway surface.
  • Upslope runway.
  • Tailwind component.
  • Worn engine, dirty air filter, improper leaning at high-elevation airports.

The POH charts already correct for pressure altitude, temperature, weight, wind, and (sometimes) runway slope and surface. Where corrections are not published, FAA guidance suggests adding approximately:

  • 10% to ground roll for each 2 knots of tailwind, up to the airplane's demonstrated tailwind limit.
  • 15% to ground roll on a dry, grassy runway; more on soft or wet turf.

Sample Calculation

Suppose the POH shows a total takeoff distance over a 50-foot obstacle of 1,800 feet, and a 50-foot obstacle sits 2,500 feet from brake release. The published rate of climb at V_X is 700 fpm, V_X is 62 KIAS, and there is no wind.

62 kt × 6,076 ft/NM ÷ 60 min = 6,278 ft/min groundspeed Gradient = 700 ÷ 6,278 ≈ 11.1% (about 678 ft per NM)

From the published 50-foot point at 1,800 feet, the airplane has 700 feet of horizontal distance to climb above 50 feet before reaching the obstacle. At an 11.1% gradient that yields about 78 additional feet — for a total of roughly 128 feet AGL at the obstacle. If the obstacle is a 75-foot tree, clearance exists; if it is a 150-foot tower, it does not.

Recommended Procedure

  1. Compute weight, balance, density altitude, and POH takeoff distance to 50 feet.
  2. Identify the highest obstacle in the departure path (sectional, A/FD-style Chart Supplement, or visual survey).
  3. Determine whether published distance and climb gradient clear the obstacle with margin.
  4. Apply the 50/70 rule as an in-flight check: if the airplane has not reached 70% of liftoff speed by 50% of the available runway, abort the takeoff.
  5. After liftoff, hold V_X until the obstacle is cleared, then accelerate to V_Y.

A prudent pilot adds a personal margin — commonly 50% to the published distance and a 50-foot buffer above the obstacle — to account for pilot technique, engine wear, and chart interpolation error. When numbers are tight, the correct decision is to delay departure until conditions improve, reduce weight by offloading fuel or passengers, or use a longer runway.

Oral Exam Questions a DPE Might Ask
Q1What is the difference between V_X and V_Y, and which do you use to clear an obstacle?
V_X is best angle of climb — the most altitude per foot of horizontal distance — and is used to clear obstacles. V_Y is best rate of climb, the most altitude per minute, used in unobstructed climbs.
Q2The POH gives a takeoff distance over a 50-foot obstacle. How do you know if you'll clear a 100-foot tower past the end of the runway?
You compute the climb gradient at V_X — rate of climb divided by groundspeed — and project how much altitude you gain in the horizontal distance from the published 50-foot point to the obstacle, then compare that to the obstacle height with margin.
Q3How does a tailwind affect obstacle clearance even if your rate of climb is unchanged?
Climb gradient is altitude gained per unit of horizontal distance, so a higher groundspeed flattens the gradient. The airplane covers more ground for the same fpm, reducing height achieved by the obstacle.
Related FAR References
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Takeoff Obstacle Clearance: PHAK Chapter 10 | GroundScholar