A model train, with a mass of $4 kg$ , is moving on a circular track with a radius of $5 m$ . If the train's rate of revolution changes from $1/9 Hz$ to $1/3 Hz$ , by how much will the centripetal force applied by the tracks change by?

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Answer 1 · 2017-03-30T18:17:49

The centripetal force change by $=39N$

The centripetal force is

$F=mr omega^2$

mass is $m=4kg$

radius $r=5m$

$Delta omega=(1/3-1/9)*2pi=(4/9pi)rads^-1$

The variation in centripetal force is

$DeltaF=mr(Delta omega)^2$

$=4*5*(4/9pi)^2$

$=39N$

A model train, with a mass of 4 kg4 kg, is moving on a circular track with a radius of 5 m5 m. If the train's rate of revolution changes from 1/9 Hz1/9 Hz to 1/3 Hz1/3 Hz, by how much will the centripetal force applied by the tracks change by?