A model train, with a mass of $15 k g$ $15 kg$ , is moving on a circular track with a radius of $3 m$ $3 m$ . If the train's rate of revolution changes from $2 H z$ $2 Hz$ to $1 H z$ $1 Hz$ , by how much will the centripetal force applied by the tracks change by?

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Answer 1 · 2017-06-27T11:49:28

The centripetal force changes by $= 1776.5 N$ $=1776.5N$

The centripetal force is

$F = m r ω^{2}$ $F=mr omega^2$

The mass is $m = 15 k g$ $m=15kg$

The radius $r = 3 m$ $r=3m$

The change in angular velocity is

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

The variation in centripetal force is

$DeltaF=mr(Delta omega)^2$

$=15*3*(2pi)^2$

$=1776.5N$

A model train, with a mass of 15 kg15kg15 kg, is moving on a circular track with a radius of 3 m3m3 m. If the train's rate of revolution changes from 2 Hz2Hz2 Hz to 1 Hz1Hz1 Hz, by how much will the centripetal force applied by the tracks change by?