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Calcimator

Climb Gradient Calculator

Convert rate of climb to climb gradient (ft/NM and %), check against departure procedure requirements, and verify obstacle clearance.

About this calculator

Climb Gradient converts a rate-of-climb figure into the ft/NM units departure procedures actually publish, using Gradient = (Rate of Climb / Ground Speed) x 60 -- a formula that involves only those two inputs, so Required Gradient never changes the Climb Gradient reading itself; it only sets the bar the calculated gradient is compared against. Because Ground Speed sits in the denominator, a faster climb speed at the same rate of climb actually produces a shallower gradient in ft/NM -- this is a common point of confusion for pilots used to thinking "faster is better," when in fact a slower Vy-speed climb at the same vertical rate covers less horizontal distance per foot gained and clears obstacles more steeply. ROC Needed for Requirement runs the same relationship in reverse: it answers what rate of climb, at your planned Ground Speed, would be needed to meet Required Gradient, and it depends only on those two inputs -- your actual Rate of Climb plays no role in that particular figure, since it describes a target rather than your current performance.

Obstacle Height and Obstacle Distance activate a separate clearance check only when both are entered above zero; left at their default of zero, the calculator treats the departure as having no specific charted obstacle to clear beyond the general climb-gradient requirement. The obstacle check applies a standard 35-foot clearance margin, matching the 35-foot screen height used in FAR Part 25/121 takeoff performance and obstacle-clearance calculations (a distinct concept from the FAA's sloped Part 77/TERPS obstacle identification surfaces), and assumes the aircraft flies the gradient exactly, with no wind-drift or turn-radius deviation from the runway centerline extended track.

Inputs

fpm

C172 sea level: ~730 fpm, at 5000 ft: ~530 fpm

kt

Vy climb: 70–90 kt for light aircraft

ft/NM

Results

Climb Gradient

375 ft/NM

Meets Requirement?

Yes

Climb Gradient6.2%
ROC Needed for Requirement267 fpm
How to Use This Calculator
  1. Enter your rate of climb from the POH at current conditions.
  2. Enter your climb ground speed (Vy adjusted for wind).
  3. Enter the required gradient from the departure procedure.
  4. Verify your gradient meets or exceeds the requirement.

How the result changes across these scenarios

ScenarioClimb GradientMeets Requirement?
Standard ODP (200 ft/NM)375 ft/NMYes
Steep SID (350 ft/NM)467 ft/NMYes
Low Performance240 ft/NMYes

What each input means

Rate of Climb
Your aircraft's rate of climb from the POH at current weight, altitude, and temperature.
Ground Speed
Ground speed during the climb (typically Vy climb speed adjusted for wind).
Required Gradient
Minimum gradient from the departure procedure (ODP or SID). Standard is 200 ft/NM unless noted otherwise.
Obstacle Height (AGL)
Height of obstacle to clear above departure end of runway.
Obstacle Distance
Distance from departure end of runway to obstacle.

What each result means

ROC Needed for Requirement
Minimum rate of climb to meet the required gradient at your ground speed.

How this is calculated

Worked example, using the default values

  1. Climb Gradient (ft/NM)
    Gradient = (Rate of Climb ÷ Ground Speed) × 60
    (500 fpm ÷ 80 kt) × 60 = 375 ft/NM
  2. Climb Gradient (%)
    % = (ft/NM ÷ 6076.12) × 100
    (375 ÷ 6076) × 100 = 6.2%
  3. ROC Needed for Required Gradient
    ROC = (Required Gradient × GS) ÷ 60
    (200 × 80) ÷ 60 = 267 fpm

Engine last updated . Checked against 1 independently-derived test — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.

Frequently Asked Questions

Why does a faster Ground Speed produce a shallower climb gradient?

Climb gradient in ft/NM measures altitude gained per nautical mile of horizontal travel, and the formula divides Rate of Climb (feet per minute) by Ground Speed. At the same rate of climb, a faster ground speed covers more horizontal distance in the same time, spreading the same altitude gain over more distance and producing a lower ft/NM figure -- which is why departing into a strong headwind (lower ground speed) actually improves your charted climb gradient.

Does Required Gradient affect the Climb Gradient reading?

No. Climb Gradient is computed purely from your Rate of Climb and Ground Speed; Required Gradient is only used afterward, as a threshold your calculated gradient is compared against to determine whether you meet the requirement. Changing Required Gradient never alters the Climb Gradient number itself, only the pass/fail comparison shown alongside it.

What does ROC Needed for Requirement actually tell me?

It answers the reverse question: given your planned Ground Speed and the published Required Gradient for a departure procedure, what rate of climb (in fpm) would you need to sustain to meet that requirement. It is independent of your aircraft's actual current Rate of Climb -- that input only affects the Climb Gradient result you are comparing against this target.

What happens if I leave Obstacle Height and Obstacle Distance at zero?

The obstacle clearance check only activates when both Obstacle Height and Obstacle Distance are set above zero -- at the default of zero for either one, the calculator treats the departure as having no specific charted obstacle to evaluate and shows only the general climb-gradient-versus-requirement comparison, without an obstacle clearance margin calculation.

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