A model train, with a mass of $7 k g$ $7 kg$ , is moving on a circular track with a radius of $6 m$ $6 m$ . If the train's rate of revolution changes from $\frac{1}{2} H z$ $1/2 Hz$ to $\frac{2}{7} H z$ $2/7 Hz$ , by how much will the centripetal force applied by the tracks change by?

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Answer 1 · 2017-02-16T10:53:29

The centripetal force will change by $19.03 N$ $19.03N$

The centripetal force is

$F = m r ω^{2}$ $F=mr omega^2$

The variation in centripetal force is

$DeltaF=mr(Delta omega)^2$

$=7*6*((1/2-2/7)2pi)^2$

$=42*9/14^2*pi^2$

$=19.03N$

A model train, with a mass of 7 kg7kg7 kg, is moving on a circular track with a radius of 6 m6m6 m. If the train's rate of revolution changes from 1/2 Hz12Hz1/2 Hz to 2/7 Hz27Hz2/7 Hz, by how much will the centripetal force applied by the tracks change by?