In: Physics
Assume that the bullet is fired due East at a latitude of 40° N, velocity is 30 m/s, and distance from target is 10m. Find the amount by which it misses hitting the center on the target due to the Coriolis force, vertical and horizontal.
Deflection due to Coriolis force is given by ∆y = (∆x)2 Ω sin(λ) / v
Where,
∆x = distance traveled
v = speed
λ = latitude
Ω = angular velocity of the Earth (7.3x10-5 s-1 )
Putting the values,
∆y = (10)2 * 7.3x10-5 * sin (40) / 30
∆y = 15.64 * 10-5 m
∆y = 1.564 * 10-4 m
∆y = 0.156 mm.