A model train, with a mass of $9 kg$ , is moving on a circular track with a radius of $3 m$ . If the train's rate of revolution changes from $7 Hz$ to $3 Hz$ , by how much will the centripetal force applied by the tracks change by?

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Answer 1 · 2017-03-04T10:42:28

The change in centripetal force is $=17054.7N$

The centripetal force is

$F=mr omega^2$

$m=9kg$

$r=3m$

$Delta omega=(7-3)*2pi=8pirads^-1$

The variation in centripetal force is

$DeltaF=mr(Delta omega)^2$

$=9*3*(8pi)^2$

$=27*64*pi^2$

$=17054.7N$

A model train, with a mass of 9 kg9 kg, is moving on a circular track with a radius of 3 m3 m. If the train's rate of revolution changes from 7 Hz7 Hz to 3 Hz3 Hz, by how much will the centripetal force applied by the tracks change by?