FAA Flight Instructor Airplane (FIA)Performance, Weight and BalanceMedium

A pilot is flying at an indicated airspeed of 120 knots at a density altitude of 8,000 ft. Using the rule of thumb that true airspeed increases about 2% per 1,000 ft of density altitude above indicated airspeed, what is the approximate true airspeed?

  1. A140 knots
  2. B120 knots
  3. C130 knots
  4. D150 knots
Show answer & explanation

Correct answer: A. 140 knots

At 8,000 ft density altitude, TAS increases about 16% over IAS (2% × 8): 120 × 1.16 = 139.2 knots, approximately 140 knots.

Why the other options are wrong

  • B. This ignores the density altitude correction entirely.
  • C. This applies only about an 8% increase, half of the correct amount.
  • D. This overstates the correction, applying about 25% instead of 16%.

TAS vs IAS with Density Altitude

As density altitude increases, true airspeed exceeds indicated airspeed by approximately 2% for every 1,000 feet of density altitude.

  • TAS ≈ IAS × (1 + 0.02 × DA in thousands)
  • Thinner air requires higher TAS for same dynamic pressure
  • Used for quick in-flight TAS estimates

Memory trick: Two Percent per Thousand — thin air needs more speed

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