# An object with a mass of 2 kg is revolving around a point at a distance of 5 m. If the object is making revolutions at a frequency of 7 Hz, what is the centripetal force acting on the object?

Nov 3, 2017

The centripetal force is $= 19.34 k N$

#### Explanation:

The centripetal force is given by the formula

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

The mass of the object is $m = 2 k g$

The radius is $r = 5 m$

The frequency is $f = 7 H z$

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

The centripetal force is

$F = 2 \cdot 5 \cdot {\left(14 \pi\right)}^{2} = 19344.4 N = 19.34 k N$