A model train, with a mass of $2 kg$ , is moving on a circular track with a radius of $6 m$ . If the train's rate of revolution changes from $1/2 Hz$ to $2/7 Hz$ , by how much will the centripetal force applied by the tracks change by?

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Answer 1 · 2017-02-28T12:18:17

The change in centripetal force is $=21.8N$

The centripetal force is

$F=mr omega^2$

$m=2kg$

$r=6m$

$Delta omega=(1/2-2/7)*2pi=3/7pirads^-1$

The variation in centripetal force is

$DeltaF=mr(Delta omega)^2$

$=2*6*(3/7pi)^2$

$=12*9/49*pi^2$

$=21.8N$

A model train, with a mass of 2 kg2 kg, is moving on a circular track with a radius of 6 m6 m. If the train's rate of revolution changes from 1/2 Hz1/2 Hz to 2/7 Hz2/7 Hz, by how much will the centripetal force applied by the tracks change by?