A model train, with a mass of #7 kg#, is moving on a circular track with a radius of #1 m#. If the train's rate of revolution changes from #1/3 Hz# to #2/7 Hz#, by how much will the centripetal force applied by the tracks change by?

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Answer 1 · 2017-04-22T07:08:09

The centripetal force changes by #=0.63N#

The centripetal force is

#F=mr omega^2#

mass is #m=7kg#

radius #r=1m#

#Delta omega=(1/3-2/7)*2pi=(2/21pi)rads^-1#

The variation in centripetal force is

#DeltaF=mr(Delta omega)^2#

#=7*1*(2/21pi)^2#

#=0.63N#