In conditions of a headwind of 10 kts, what is the expected ground roll required for takeoff over a 50-foot obstacle at a weight of 3,200 lb and temperature at 90 degrees F?

To determine the ground roll required for takeoff over a 50-foot obstacle under the described conditions, it's essential to consider how various factors impact takeoff performance. In this scenario, the aircraft's weight, the temperature, and the effect of headwind all play significant roles.

When assessing the effect of a headwind, it's understood that headwinds reduce the ground speed required for takeoff. A headwind of 10 knots means that the aircraft can achieve lift at a slightly lower ground speed compared to a calm wind situation. This reduction in required ground speed translates directly to a shorter ground roll, which is critical in calculating the takeoff performance needed to clear an obstacle.

At a weight of 3,200 lbs and a temperature of 90 degrees F, the aircraft might typically have an increased takeoff distance due to reduced engine performance in warmer conditions (as engines can produce less power in higher temperatures). However, the presence of the headwind mitigates some of this effect. The combination of the aircraft’s specific takeoff data (found in the Pilot Operating Handbook) and the adjustments for weight and temperature indicates that with the headwind assistance, the performance would align more closely with the lower end of the spectrum of possible takeoff distances.

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