Determine the approximate ground roll distance required for takeoff.
OAT = 38°C

Pressure altitude = 2,000 ft

Takeoff weight = 2,750 lb

Headwind component = Calm

Question

Determine the approximate ground roll distance required for takeoff.
OAT = 38°C

Pressure altitude = 2,000 ft

Takeoff weight = 2,750 lb

Headwind component = Calm

BlackTom AI · Accepted Answer

To approach this question, we need to consider how density altitude, aircraft weight, and takeoff conditions affect ground roll.
Option 1: 1,300 feet.
- This value is plausible if density altitude and weight provide a moderate takeoff distance, but with OAT at 38°C and a pressure altitude of 2,000 ft, the density altitude is higher than 2,000 ft, increasing the ground roll compared to standard conditions. If the chart under these conditions shows a number around 1,300 ft, this would be reasonable; however, the combination of elevated temperature and altitude typically pushes the ground roll longer rather than shorter, unless the weight is very light or wind assists.
Option 2: 1,150 feet.
- This distance is relatively short for takeoff under hot and high conditions, especially with a takeoff weight of 2,750 lb. Given the elevated density altitude from 38°C at 2,000 ft PA, one would generally expect a longer ground roll than under standard conditions, unless there is a significant power margin or other favorable factors. If a chart indicates 1,150 ft specifically for these inputs, it would imply unusually favorable performance or generous calibration. In many real-world cases, this would be on the optimistic side.
Option 3: 1,800 feet.
- This option reflects a noticeably longer ground roll, which is commonly expected when density altitude is high and weight is not light. With OAT at 38°C and 2,000 ft PA, the engine and propeller performance are taxed more, leading to more runway required to accelerate to liftoff speed. If the chart shows a value around 1,800 ft for these inputs, it aligns with the expectation of reduced performance under hot-and-high conditions.
In summary, hot temperatures and higher pressure altitude increase density altitude, reducing engine/prop efficiency and aircraft lift per unit speed. Heavier weight further compounds this, requiring more runway. The smallest distance (1,150 ft) would be the least consistent with hot-and-high conditions unless there are unusually favorable chart conditions, while 1,800 ft represents a conservative, high estimate that fits hot-and-high performance. The intermediate 1,300 ft falls between these extremes and could be plausible depending on the precise chart interpretation.
Note: Without the exact performance chart used (which translates OAT, pressure altitude, weight, and wind into a ground roll), it’s difficult to confirm precisely which value matches these inputs. The calm wind means no headwind benefit, so the ground roll should reflect true airspeed requirements rather than wind correction.

Determine the approximate ground roll distance required for takeoff. OAT = 38°C Pressure altitude = 2,000 ft Takeoff weight = 2,750 lb Headwind component = Calm单项选择题

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