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

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

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Answer 1 · 2016-02-07T20:41:26

$Delta F_c=672 pi^2$

Explanation:

$"Centripetal force is given by: " F_c=m*omega^2*r$
$omega_1=2pi*4=8pi$
$omega_2=2pi*6=12pi$
$Delta omega=12pi-8pi=4pi$
$Delta F_c=m* Delta omega^2 *r$
$Delta F_c=6*(4pi)^2*7$
$Delta F_c=42*16 pi^2$
$Delta F_c=672 pi^2$

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

1 Answer

Explanation:

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Science

Math

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... and beyond

A model train, with a mass of 6 kg6 kg, is moving on a circular track with a radius of 7 m7 m. If the train's rate of revolution changes from 4 Hz4 Hz to 6 Hz6 Hz, by how much will the centripetal force applied by the tracks change by?

1 Answer

Explanation:

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