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 $7 H z$ $7 Hz$ to $3 H z$ $3 Hz$ , by how much will the centripetal force applied by the tracks change by?

Question

1406 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-05-15T09:39:05

The centripetal force changes by $= 28424.46 N$ $=28424.46N$

The centripetal force is

$F = m r ω^{2}$ $F=mr omega^2$

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

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

$Delta omega=(7-3)*2pi=(8pi)rads^-1$

The variation in centripetal force is

$DeltaF=mr(Delta omega)^2$

$=15*3*(8pi)^2$

$=28424.46N$

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 7 Hz7Hz7 Hz to 3 Hz3Hz3 Hz, by how much will the centripetal force applied by the tracks change by?