A model train, with a mass of #1 kg#, is moving on a circular track with a radius of #5 m#. If the train's rate of revolution changes from #1/9 Hz# to #1/5 Hz#, by how much will the centripetal force applied by the tracks change by?

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Answer 1 · 2017-10-02T13:33:51

The change in centripetal force is #=1.56N#

The centripetal force is

#F=mr omega^2#

The mass is #m=1kg#

The radius #r=5m#

The change in angular velocity is

#Delta omega=(1/5-1/9)*2pi=(8/45pi)rads^-1#

The variation in centripetal force is

#DeltaF=mr(Delta omega)^2#

#=1*5*(8/45pi)^2#

#=1.56N#