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An airplane requires a longer ground roll to lift-off on hot summer days because

  • A.the thrust is directly proportional to free-stream density.
  • B.the thrust is directly proportional to weight of the aircraft.
  • C.the lift-off distance is directly proportional to free-stream density.
  • D.the runway friction is high on hot summer days.

Answer: A

The reason is that the thrust is directly proportional to free-stream density.

Hot air is less dense. An engine's thrust falls with air density (in the simple model it is taken as directly proportional to it), so on a hot day the aircraft accelerates more slowly. The thinner air also raises the speed needed to make lift equal weight, so the aircraft must reach a higher speed with less thrust, and the ground roll lengthens.

Thrust does not depend on the aircraft's weight. The lift-off distance is inversely related to density (it grows as density falls), not directly proportional to it. Runway friction is not what changes on a hot day; the density of the air is.

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