A model train, with a mass of #9 kg#, is moving on a circular track with a radius of #3 m#. If the train's rate of revolution changes from #7 Hz# to #3 Hz#, by how much will the centripetal force applied by the tracks change by?

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Answer 1 · 2017-03-04T10:42:28

The change in centripetal force is #=17054.7N#

The centripetal force is

#F=mr omega^2#

#m=9kg#

#r=3m#

#Delta omega=(7-3)*2pi=8pirads^-1#

The variation in centripetal force is

#DeltaF=mr(Delta omega)^2#

#=9*3*(8pi)^2#

#=27*64*pi^2#

#=17054.7N#