Answer to Question #227688 in Mechanics | Relativity for Smita

Question #227688

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?


1
Expert's answer
2021-08-19T14:23:07-0400

Given:

m=410kgm=4*10\:\rm kg

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

λ=60\lambda=60^{\circ}


The magnitude of the Coriolis force


Fc=2mvΩsinλF_c=2mv\Omega\sin\lambda

Fc=2410202π243600sin60=0.1NF_c=2*4*10*20*\frac{2\pi}{24*3600}\sin 60^{\circ}=0.1\:\rm N

The direction is northward.


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