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?

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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

$DeltaF=mr(Delta omega)^2$

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

$=0.19N$

A model train, with a mass of 3 kg3 kg, is moving on a circular track with a radius of 2 m2 m. If the train's rate of revolution changes from 2/5 Hz2/5 Hz to 3/7 Hz3/7 Hz, by how much will the centripetal force applied by the tracks change by?