Two identical trains, at the equator start travelling round the world in opposite directions. they start to-gether, run at the same speed and are on different tracks. which train will wear out its wheel treads first?
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Step-by-step explanation:
The train travelling eastwards, in same direction as earth’s rotation, would experience a slightly enhanced centrifugal force and a very, very tiny decrease in weight. So it would wear out its track and wheels slightly less.
The gravity deficit is given by
a = 2 V1 V2 / R where V1 is train speed and V2 is earth rotation speed and R is radius of Earth.
For a train at 100km/hr (30m/sec) at the Equator (V2 = 600 m/sec) and given earth radius of 6000km, I get that as a gravity deficit of 0.05 m/sec/sec. Gravity itself is 10 m/sec/sec, so that’s an increase or decrease in the train’s weight of 0.5%. If I did the sums right.
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