A model train, with a mass of #8 kg#, is moving on a circular track with a radius of #2 m#. If the train's rate of revolution changes from #2/5 Hz# to #5/6 Hz#, by how much will the centripetal force applied by the tracks change by?

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Answer 1 · 2017-04-14T07:09:20

The centripetal force changes by #=31.2N#

The centripetal force is

#F=mr omega^2#

mass is #m=8kg#

radius #r=2m#

#Delta omega=(5/6-2/5)*2pi=(13/30pi)rads^-1#

The variation in centripetal force is

#DeltaF=mr(Delta omega)^2#

#=8*2*(4/9pi)^2#

#=31.2N#