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?

1 Answer
Aug 23, 2017

Answer:

The change in centripetal force is #=69.1N#

Explanation:

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#