A model train, with a mass of #3 kg#, is moving on a circular track with a radius of #2 m#. If the train's rate of revolution changes from #2/5 Hz# to #3/7 Hz#, by how much will the centripetal force applied by the tracks change by?

Question

1432 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-03-06T12:28:05

The change in centripetal force is #0.19N#

The centripetal force is

#F=mr omega^2#

#m=3kg#

#r=2m#

#Delta omega=(3/7-2/5)*2pi=2/35pirads^-1#

The variation in centripetal force is

#DeltaF=mr(Delta omega)^2#

#=3*2*(2/35pi)^2#

#=0.19N#