A model train, with a mass of $2 kg$ , is moving on a circular track with a radius of $4 m$ . If the train's rate of revolution changes from $3 Hz$ to $1 Hz$ , by how much will the centripetal force applied by the tracks change by?

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Answer 1 · 2017-07-08T05:42:35

The centripetal force changes by $=1263.3N$

The centripetal force is

$F=mr omega^2$

The mass is $m=2kg$

The radius $r=4m$

The change in angular velocity is

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

The variation in centripetal force is

$DeltaF=mr(Delta omega)^2$

$=2*4*(4pi)^2$

$=1263.3N$

A model train, with a mass of 2 kg2 kg, is moving on a circular track with a radius of 4 m4 m. If the train's rate of revolution changes from 3 Hz3 Hz to 1 Hz1 Hz, by how much will the centripetal force applied by the tracks change by?