A model train, with a mass of $8 kg$ , 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 $5/6 Hz$ , by how much will the centripetal force applied by the tracks change by?

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Answer 1 · 2017-04-14T07:09:20

The centripetal force changes by $=31.2N$

The centripetal force is

$F=mr omega^2$

mass is $m=8kg$

radius $r=2m$

$Delta omega=(5/6-2/5)*2pi=(13/30pi)rads^-1$

The variation in centripetal force is

$DeltaF=mr(Delta omega)^2$

$=8*2*(4/9pi)^2$

$=31.2N$

A model train, with a mass of 8 kg8 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 5/6 Hz5/6 Hz, by how much will the centripetal force applied by the tracks change by?