A model train, with a mass of #6 kg#, is moving on a circular track with a radius of #7 m#. If the train's rate of revolution changes from #4 Hz# to #2 Hz#, by how much will the centripetal force applied by the tracks change by?

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Answer 1 · 2017-06-15T17:44:22

The centripetal force changes by #=6632.4N#

The centripetal force is

#F=mr omega^2#

The mass is #m=6kg#

The radius #r=7m#

The change in the angular velocity is

#Delta omega=(4-2)*2pi=(4pi)rads^-1#

The variation in centripetal force is

#DeltaF=mr(Delta omega)^2#

#=6*7*(4pi)^2#

#=6632.4N#