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Runway Slope Takeoff Distance Calculator

Price an uphill takeoff in feet — the ~10%-per-1%-gradient planning rule, plus the uphill-takeoff vs downhill-tailwind comparison every one-way strip demands.

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Slope-corrected roll (ft)
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Slope costs (ft)
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Roughly equivalent tailwind (kt)

Gravity taxes the roll twice on a grade: a component of weight pulls backward and the climb-out starts lower relative to terrain. The 10%-per-1% figure is the standard planning rule; POH slope charts (where published) govern.

Formula

distance × (1 + 0.10 × slope%); 1% up ≈ 2.2 kt of tailwind in cost
References: UK CAA Safety Sense Leaflet 7: Aeroplane Performance; FAA AC 91-79B (runway gradient considerations); Anderson, Aircraft Performance and Design, §6.3 (takeoff/landing ground roll)

⚠️ Planning estimate only — your POH/AFM performance charts are the authoritative source. Always verify with official data, and apply your operator's safety factors. Not for airworthiness decisions.

Disclaimer: This tool is for general informational and estimation purposes only and is not professional financial, tax, accounting or legal advice. All figures are estimates — verify with a qualified professional before making decisions. Read the full disclaimer.

Price an uphill takeoff in feet — the ~10%-per-1%-gradient planning rule, plus the uphill-takeoff vs downhill-tailwind comparison every one-way strip demands.

About Runway Slope Takeoff Distance Calculator

Mountain strips force a question flatland training never asks: takeoff uphill into wind, or downhill with a tailwind? This calculator prices the gradient side of that trade — about 10% more ground roll per 1% of upslope — and converts the slope into its equivalent tailwind so both sides of the one-way-strip decision can be compared in the same currency. For gradients beyond about 2%, the answer is usually decided by the strip, not the windsock.

How to use Runway Slope Takeoff Distance Calculator

  1. 1Enter — sensible defaults are pre-filled so you see a worked result immediately.
  2. 2Read the live results: .
  3. 3Check the "With your numbers" line to see the formula distance × (1 + 0.10 × slope%); 1% up ≈ 2.2 kt of tailwind in cost substituted step by step.
  4. 4Adjust inputs (or flip the unit toggle) until the scenario matches yours, then copy or share the result.

Why use Runway Slope Takeoff Distance Calculator?

  • Instant, free and private — every calculation runs in your browser, nothing is uploaded
  • Built on the published formula distance × (1 + 0.10 × slope%); 1% up ≈ 2.2 kt of tailwind in cost with sources cited on the page
  • Gravity taxes the roll twice on a grade: a component of weight pulls backward and the climb-out starts lower relative to terrain. The 10%-per-1% figure is the standard planning rule; POH slope charts (where published) govern.
  • Switch units, tweak any input and watch every result update live

Frequently asked questions

Where does 10% per 1% of slope come from?+

From resolving weight along the runway: a 1% grade adds a retarding force of about 1% of aircraft weight, which for typical light-aircraft thrust-to-weight ratios (0.25–0.3 at the start of the roll, falling through it) stretches the roll roughly 10%. UK CAA Safety Sense 7 publishes the same planning factor. Aircraft with anemic climb power suffer more.

Uphill into wind or downhill with tailwind — how do I decide?+

Convert both to distance and compare. This tool shows slope as equivalent tailwind (≈2.2 kt per 1%); our wind tool prices actual tailwind at 10% per 2 kt. Example: 2% upslope ≈ 4.4 kt tailwind equivalent — so taking off downhill into a 5 kt tailwind is roughly a wash on distance, and the obstacle picture then decides. Many strips publish the answer: 'land up, depart down, always.'

Does slope change the rotation or climb portion too?+

The headline correction covers the ground roll. But an upslope also tilts your liftoff trajectory relative to the obstacle plane — you break ground later and lower against terrain that is itself rising. On real one-way strips the published procedure (and a walk of the strip) trumps any single-factor calculation; treat this output as the entry ticket, not the full analysis.

How do I find a runway's actual gradient?+

The Chart Supplement / AIP entry lists it when it's significant (e.g. 'RWY 16: 1.9% up S'), and airport diagrams show threshold elevations you can difference and divide by length. For unpublished bush strips, walk it with a GPS or sight level — and remember gradients are often uneven: the average hides the steeper half that may sit exactly where you'll be slowest.

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