A model train, with a mass of #15 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 · 2017-05-15T09:39:05

The centripetal force changes by #=28424.46N#

The centripetal force is

#F=mr omega^2#

mass is #m=15kg#

radius #r=3m#

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

The variation in centripetal force is

#DeltaF=mr(Delta omega)^2#

#=15*3*(8pi)^2#

#=28424.46N#