# An object with a mass of 3 kg is revolving around a point at a distance of 4 m. If the object is making revolutions at a frequency of 1 Hz, what is the centripetal force acting on the object?

Mar 21, 2018

The centripetal force is $= 473.7 N$

#### Explanation:

The centripetal force is

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

The mass of the object is $m = 3 k g$

The radius of the circle is $r = 4 m$

The frequency is $f = 1 H z$

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

The centripetal force is

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