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A model train, with a mass of #2 kg#, is moving on a circular track with a radius of #4 m#. If the train's rate of revolution changes from #5 Hz# to #1 Hz#, by how much will the centripetal force applied by the tracks change by?

Answer 1

Adrian Ayala

The centipetal force will change by #5053.2N#

The centripetal force is

#F=mr omega^2#

The variation in centripetal force is

#DeltaF=mr(Delta omega)^2#

#=2*4*((5-1)2pi)^2#

#=8*64*pi^2#

#=5053.2N#

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Answer 2

Benjamin Asiedu

The centripetal force applied by the tracks will change by a factor of 25.

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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.