Answer to Question #227688 in Mechanics | Relativity for Smita

Question

A train of mass 4.0x10 kg runs south wards at a speed of 20m/s at a latitude 60 degree N what is the magnitude and direction of the coriolis force on tha train?

Answer 1

Given:

$m=4*10\:\rm kg$

$v=20\:\rm m/s$

$\lambda=60^{\circ}$

The magnitude of the Coriolis force

$$F_c=2mv\Omega\sin\lambda$$

$$F_c=2*4*10*20*\frac{2\pi}{24*3600}\sin 60^{\circ}=0.1\:\rm N$$

The direction is northward.