An artillery shell is projected due north from a point at latitude at an angle of

An artillery shell is projected due north from a point at latitude λ at an angle of 45◦ to the horizontal, and aimed at a target whose distance is D, where D is small compared with earth’s radius.

(a) Show that due to the Coriolis pseudoforce, and neglecting air resistance, the shell will miss its target by a distance

where \(\omega\) is earth's angular velocity.

(b) Evaluate this distance for \(\lambda=30^{\circ}\) and \(D=50 \mathrm{~km}\).

(c) What is the physical reason for the deviation to the east near the north pole, but to the west both on the equator and near the south pole?

Transcribed Image Text:

2D3 1/2 d = g A 1 w(sin cos A) 3