# An object with a mass of 6 kg is revolving around a point at a distance of 8 m. If the object is making revolutions at a frequency of 4 Hz, what is the centripetal force acting on the object?

Mar 28, 2017

The centripetal force is $= 30319.4 N$

#### Explanation:

The centripetal force acting on an object is

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

The mass, $m = 6 k g$

The radius, $r = 8 m$

The angularvelocity is

$\omega = 4 \cdot 2 \pi = 8 \pi$

So

The centripetal force is

$F = 6 \cdot 8 \cdot {\left(8 \pi\right)}^{2} = 30319.4 N$