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A model train, with a mass of #6 kg#, is moving on a circular track with a radius of #7 m#. If the train's rate of revolution changes from #4 Hz# to #0 Hz#, by how much will the centripetal force applied by the tracks change by?

Answer 1

Olivia Askew

The change in centripetal force is #=26529.5N#

The centripetal force is

#F=mr omega^2#

The mass is #m=6kg#

The radius #r=7m#

The change in angular velocity is

#Delta omega=(4-0)*2pi=(8pi)rads^-1#

The variation in centripetal force is

#DeltaF=mr(Delta omega)^2#

#=6*7*(8pi)^2#

#=26529.5N#

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Answer 2

Amelia Adams

The centripetal force applied by the tracks will change by 84 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.