# A model train, with a mass of 3 kg, is moving on a circular track with a radius of 4 m. If the train's rate of revolution changes from 3 Hz to 2 Hz, by how much will the centripetal force applied by the tracks change by?

Feb 10, 2017

The answer is $= 473.7 N$

#### Explanation:

The centipetal force is

$F = m r {\omega}^{2}$

$m =$ mass

$r =$ radius

The variation in centripetal force is

$\Delta F = m r {\left(\Delta \omega\right)}^{2}$

$\Delta \omega = \left(3 - 2\right) \cdot 2 \pi r a {\mathrm{ds}}^{-} 1$

$\Delta F = 3 \cdot 4 \cdot {\left(2 \pi\right)}^{2} = 473.7 N$