A model train, with a mass of #12 kg#, is moving on a circular track with a radius of #9 m#. If the train's rate of revolution changes from #5 Hz# to #8 Hz#, by how much will the centripetal force applied by the tracks change by?

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Answer 1 · 2017-06-29T09:55:24

The centripetal force changes by #=38.373kN#

The centripetal force is

#F=mr omega^2#

The mass is #m=12kg#

The radius #r=9m#

The change in angular velocity is

#Delta omega=(8-5)*2pi=(6pi)rads^-1#

The variation in centripetal force is

#DeltaF=mr(Delta omega)^2#

#=12*9*(6pi)^2#

#=38373N#