A model train, with a mass of #4 kg#, is moving on a circular track with a radius of #5 m#. If the train's rate of revolution changes from #1/9 Hz# to #1/3 Hz#, by how much will the centripetal force applied by the tracks change by?

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Answer 1 · 2017-03-30T18:17:49

The centripetal force change by #=39N#

The centripetal force is

#F=mr omega^2#

mass is #m=4kg#

radius #r=5m#

#Delta omega=(1/3-1/9)*2pi=(4/9pi)rads^-1#

The variation in centripetal force is

#DeltaF=mr(Delta omega)^2#

#=4*5*(4/9pi)^2#

#=39N#