A model train, with a mass of #12 kg#, is moving on a circular track with a radius of #3 m#. If the train's rate of revolution changes from #6 Hz# to #1 Hz#, by how much will the centripetal force applied by the tracks change by?

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Answer 1 · 2017-07-15T11:48:38

The centripetal force changes by #=35.531kN#

The centripetal force is

#F=mr omega^2#

The mass is #m=12kg#

The radius #r=3m#

The change in angular velocity is

#Delta omega=(6-1)*2pi=(10pi)rads^-1#

The variation in centripetal force is

#DeltaF=mr(Delta omega)^2#

#=12*3*(10pi)^2#

#=35531N#