A model train, with a mass of #15 kg#, is moving on a circular track with a radius of #3 m#. If the train's rate of revolution changes from #2 Hz# to #1 Hz#, by how much will the centripetal force applied by the tracks change by?

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Answer 1 · 2017-06-27T11:49:28

The centripetal force changes by #=1776.5N#

The centripetal force is

#F=mr omega^2#

The mass is #m=15kg#

The radius #r=3m#

The change in angular velocity is

#Delta omega=(2-1)*2pi=(2pi)rads^-1#

The variation in centripetal force is

#DeltaF=mr(Delta omega)^2#

#=15*3*(2pi)^2#

#=1776.5N#