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A model train, with a mass of #4 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 #1/3 Hz#, by how much will the centripetal force applied by the tracks change by?

Answer 1

Adrian Ayala

The centripetal force change by #=39N#

Centripetal force is what

#F=mr omega^2#

mass is #m=4kg#

radius #r=5m#

Delta omega is equal to (1/3-1/9)*2pi, or (4/9pi)rad^-1.

The centripetal force fluctuation is

#DeltaF=mr(Delta omega)^2#

#=4*5*(4/9pi)^2#

#=39N#

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Answer 2

Nora Arzate

The centripetal force applied by the tracks will increase by a factor of 9.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.