An aircraft is flying due west at 850 km/h, above and parallel to latitude 65 de

Question

An aircraft is flying due west at 850 km/h, above and parallel to latitude 65 degrees N. Find the angle,       (lpha)     through which it must tilt its wings to compensate for the horizontal component of the Coriolis force. (Hint, drawing a good picture makes this easier. I suggest a diagram which has the airplanem oving out of the paper towards you...). You should provide both the magnitude of the angle        (lpha)    , and how the plane should tilt its wings as it is seen coming toawrds you (out of the paper); write a sentence or two describing the reason for your choice of how the wings should rotate. You should simply assume that if the Earth were not rotating, the wings would be positioned to provide a vertical "lift" (in the k direction) of         (F_{L}=mg)       (lpha)       (F_{cor}/F_{lift})

Explanation / Answer

Coriolis force = m x accn

= m x 2omega v

= m x (4Pi/T) x (850x5/18) {T=24 hours}

=0.03434 m

tan alpha = coriolis force / Lift

= 0.03434 m / mg

alpha = 2 degrees

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