A model train, with a mass of $12 kg$ , is moving on a circular track with a radius of $3 m$ . If the train's rate of revolution changes from $6 Hz$ to $1 Hz$ , by how much will the centripetal force applied by the tracks change by?

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Answer 1 · 2017-07-15T11:48:38

The centripetal force changes by $=35.531kN$

The centripetal force is

$F=mr omega^2$

The mass is $m=12kg$

The radius $r=3m$

The change in angular velocity is

$Delta omega=(6-1)*2pi=(10pi)rads^-1$

The variation in centripetal force is

$DeltaF=mr(Delta omega)^2$

$=12*3*(10pi)^2$

$=35531N$

A model train, with a mass of 12 kg12 kg, is moving on a circular track with a radius of 3 m3 m. If the train's rate of revolution changes from 6 Hz6 Hz to 1 Hz1 Hz, by how much will the centripetal force applied by the tracks change by?