A model train, with a mass of #3 kg#, is moving on a circular track with a radius of #8 m#. If the train's rate of revolution changes from #1/9 Hz# to #1/7 Hz#, by how much will the centripetal force applied by the tracks change by?

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Answer 1 · 2017-04-26T14:41:32

The centripetal force changes by #=0.24N#

The centripetal force is

#F=mr omega^2#

mass is #m=3kg#

radius #r=8m#

#Delta omega=(1/7-1/9)*2pi=(2/63pi)rads^-1#

The variation in centripetal force is

#DeltaF=mr(Delta omega)^2#

#=3*8*(2/63pi)^2#

#=0.24N#