A model train, with a mass of #4 kg#, is moving on a circular track with a radius of #7 m#. If the train's rate of revolution changes from #1/12 Hz# to #1/3 Hz#, by how much will the centripetal force applied by the tracks change by?

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Answer 1 · 2017-08-23T13:20:13

The change in centripetal force is #=69.1N#

The centripetal force is

#F=mr omega^2#

The mass is #m=4kg#

The radius #r=7m#

The change in angular velocity is

#Delta omega=(1/3-1/12)*2pi=(1/2pi)rads^-1#

The variation in centripetal force is

#DeltaF=mr(Delta omega)^2#

#=4*7*(1/2pi)^2#

#=69.1N#