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TAM 212
Special Assignment, due Friday October 22, 2004
1]
A new high speed train is being designed and the designers wish to estimate the effect of
Coriolis forces, due to the rotation of the earth, on the train.
Assume the train is travelling due north at
400 km per hour at a latitude of
θ
= 48 degrees (corresponding to Paris).
This speed is the speed of
the train relative to the tracks.
a)
We first ask what is the
v
elocity of the train relative to a frame fixed at the center of the earth
but not rotating with the earth.
In other words, the absolute
v
elocity it has when we neglect the motion
of the earth relative to the sun and galaxy etcetera, but do not neglect the rotation of the earth.
Here
you must use the velocity formula 3.50.
Take the radius of the spherical earth to be 6500 km, and the
rotation rate to be one revolution per day.
ω
= (2
π
radian/day)
b)
We now ask for the horizontal part of the Coriolis force on the train.
F
Coriolus
= 2m
ω
x
v
rel
.
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This note was uploaded on 05/24/2010 for the course TM 212 taught by Professor Richard during the Spring '10 term at University of Illinois, Urbana Champaign.
 Spring '10
 richard

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