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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 #1/4 Hz# to #2/5 Hz#, by how much will the centripetal force applied by the tracks change by?

Answer 1

Julia Aguilar

The change in centripetal force is #=7.11N#

Centripetal force is what

#F=mr omega^2#

The mass is #m=2kg#

The radius #r=4m#

The angular velocity change is

Delta omega is equal to (2/5-1/4)*2pi, or (3/10pi)rad^-1.

The centripetal force fluctuation is

#DeltaF=mr(Delta omega)^2#

#=2*4*(3/10pi)^2#

#=7.11N#

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Answer 2

Lily Adams

The centripetal force applied by the tracks will change by 15 N.

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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.