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 #6 Hz#, by how much will the centripetal force applied by the tracks change by?

1 Answer
Feb 7, 2016

#Delta F_c=672 pi^2#

Explanation:

#"Centripetal force is given by: " F_c=m*omega^2*r#
#omega_1=2pi*4=8pi#
#omega_2=2pi*6=12pi#
#Delta omega=12pi-8pi=4pi#
#Delta F_c=m* Delta omega^2 *r#
#Delta F_c=6*(4pi)^2*7#
#Delta F_c=42*16 pi^2#
#Delta F_c=672 pi^2#