A model train, with a mass of $7 kg$ , is moving on a circular track with a radius of $1 m$ . If the train's rate of revolution changes from $1/3 Hz$ to $2/7 Hz$ , by how much will the centripetal force applied by the tracks change by?

Question

1462 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-04-22T07:08:09

The centripetal force changes by $=0.63N$

The centripetal force is

$F=mr omega^2$

mass is $m=7kg$

radius $r=1m$

$Delta omega=(1/3-2/7)*2pi=(2/21pi)rads^-1$

The variation in centripetal force is

$DeltaF=mr(Delta omega)^2$

$=7*1*(2/21pi)^2$

$=0.63N$

A model train, with a mass of 7 kg7 kg, is moving on a circular track with a radius of 1 m1 m. If the train's rate of revolution changes from 1/3 Hz1/3 Hz to 2/7 Hz2/7 Hz, by how much will the centripetal force applied by the tracks change by?