A model train, with a mass of $2 kg$ , is moving on a circular track with a radius of $2/3 m$ . If the train's rate of revolution changes from $1/9 Hz$ to $1/5 Hz$ , by how much will the centripetal force applied by the tracks change by?

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Answer 1 · 2017-07-06T05:49:23

The change in centripetal force is $=0.42N$

The centripetal force is

$F=mr omega^2$

The mass is $m=2kg$

The radius $r=2/3m$

The change in angular velocity is

$Delta omega=(1/5-1/9)*2pi=(8/45pi)rads^-1$

The variation in centripetal force is

$DeltaF=mr(Delta omega)^2$

$=2*2/3*(8/45pi)^2$

$=0.42N$

A model train, with a mass of 2 kg2 kg, is moving on a circular track with a radius of 2/3 m2/3 m. If the train's rate of revolution changes from 1/9 Hz1/9 Hz to 1/5 Hz1/5 Hz, by how much will the centripetal force applied by the tracks change by?