An airplane is attempting to land on a runway when the wind is blowing at a velocity of 10 m/s perpendicular to the runway. Given that the airplane is flying at an airspeed of 47 m/s, at what angle relative to the runway direction must the pilot keep the nose pointed into the wind to maintain a flight path aligned with the runway?

Question

16-07-2019
Physics

contestada

An airplane is attempting to land on a runway when the wind is blowing at a velocity of 10 m/s perpendicular to the runway. Given that the airplane is flying at an airspeed of 47 m/s, at what angle relative to the runway direction must the pilot keep the nose pointed into the wind to maintain a flight path aligned with the runway?

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gilcarusolautaro gilcarusolautaro · Answer 1 · 2019-07-24T23:59:21+02:00

Answer:

The pilot must keep the tip pointed at 12.1 degrees to the right with respect to the direction of the runway to align the flight path with the runway.

Explanation:

x= -10m/s

y= 47m/s

r= √(x²)+(y²)

r=48.05 m/s

β= tan⁻¹(y/x)

β=102.01°

the runway is at 90 degrees. Considering the wind, the airplane is flying at 102.01 º direction. Must fly at 12.1 degrees to the right with respect to the direction of the runway to contrarest the wind effect.