A model train, with a mass of $6 k g$ $6 kg$ , is moving on a circular track with a radius of $7 m$ $7 m$ . If the train's rate of revolution changes from $4 H z$ $4 Hz$ to $2 H z$ $2 Hz$ , by how much will the centripetal force applied by the tracks change by?

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Answer 1 · 2017-06-15T17:44:22

The centripetal force changes by $= 6632.4 N$ $=6632.4N$

The centripetal force is

$F = m r ω^{2}$ $F=mr omega^2$

The mass is $m = 6 k g$ $m=6kg$

The radius $r = 7 m$ $r=7m$

The change in the angular velocity is

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

The variation in centripetal force is

$DeltaF=mr(Delta omega)^2$

$=6*7*(4pi)^2$

$=6632.4N$

A model train, with a mass of 6 kg6kg6 kg, is moving on a circular track with a radius of 7 m7m7 m. If the train's rate of revolution changes from 4 Hz4Hz4 Hz to 2 Hz2Hz2 Hz, by how much will the centripetal force applied by the tracks change by?