Aviation & Aeronautics
Basic

Rate of Climb

Vertical speed is the altitude gained per unit time (ft per minute).

Formula

ROC=ΔhtROC = \dfrac{\Delta h}{t}

Variables

ROCRate of climb (fpm)
\Delta hAltitude change (ft)
tTime (min)

Example

Climb 3000 ft in 5 min: ROC = 600 fpm

How it works

The rate of climb tells you how quickly an aircraft is gaining altitude. It is found by dividing the change in height by the time taken, so the units come out as feet per minute (fpm): if an aircraft gains more feet in the same time, its climb rate is higher. This works because it measures vertical distance covered each minute, just like speed measures horizontal distance per unit time.

When to use it

Use this formula when you need to describe or compare an aircraft’s vertical performance during takeoff, approach, or a climb maneuver. It is also useful for checking whether an aircraft is climbing fast enough to clear terrain or meet a planned ascent profile.

Worked example, step by step

An aircraft climbs from 2,500 ft to 4,000 ft in 3 min. Step 1: Find the altitude change: Δh = 4,000 − 2,500 = 1,500 ft Step 2: Use the formula: ROC = Δh / t Step 3: Substitute values: ROC = 1,500 / 3 Step 4: Calculate: ROC = 500 fpm Final answer: The rate of climb is 500 feet per minute.

Common mistakes to avoid

  • Using seconds instead of minutes without converting the time first
  • Subtracting the altitudes in the wrong order and getting a negative climb rate
  • Confusing rate of climb with groundspeed, which measures horizontal motion instead of vertical motion

Did You Know?

Rate of climb is shown on the vertical speed indicator in feet per minute.

Share this formula

Reviewed & maintained by the FormulaWon editorial teamLast reviewed September 2026