# An object with a mass of 8 kg is revolving around a point at a distance of 14 m. If the object is making revolutions at a frequency of 7 Hz, what is the centripetal force acting on the object?

Dec 4, 2017

The centripetal force is $= 216.7 k N$

#### Explanation:

The mass of the object is $m = 8 k g$

The radius is $r = 14 m$

The frequency is $f = 7 H z$

The angular velocity is $\omega = 2 \cdot \pi \cdot f = 2 \cdot \pi \cdot 7 = 14 \pi r a {\mathrm{ds}}^{-} 1$

The centripetal force is

$F = m r {\omega}^{2} = 8 \cdot 14 \cdot {\left(14 \pi\right)}^{2} = 216656.6 N$