Question

A modern 5-inch 62-calibre naval gun can fire a 32 kg shell at a muzzle velocity of 800 m/s to a range of 37 km at 20 rounds/min. Suppose such a gun fires a projectile eastward at a nearly horizontal trajectory to a target 12 km away. The ship is at 60° geographic latitude. Find the deflection of the projectile due to the Coriolis force in both the northern and southern hemispheres (ignore air resistance).

Answer 1

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m 3a Kg 80ornis Northern Hemisphere : - (Cosaj t Sina k) amyw Cos a k f simaj) ax32x 800 x 1.25 (o 3.ila 3.112 Sim6aj) CoS Go 3.21s L.856 - time toke bj Sheli to yeoch toyget Sec diftlections Csould be - < -3 cl.cS m 3.215 2 t 2 - 2 o 8. 8 m A8S 2- 2 direst on - diftlecti o Yesultant 361.cs2+ 208.8) '^ -(cos aj- sinad) Southern hemispher 3.21s .8 S6 3C1.6SM 2o 8. 8 Tm